Floating Point Number to Null-Terminated ASCII String - cpu-architecture

I'm reviewing for an exam right now and one of the review questions gives an answer that I'm not understanding.
A main memory location of a MIPS processor based computer contains the following bit pattern:
0 01111110 11100000000000000000000
a. If this is to be interpreted as a NULL-terminated string of ASCII characters, what is the string?
The answer that's given is "?p" but I'm not sure how they got that.
Thanks!

All ASCII characters are made up of 8 bits. So given your main memory location, we can break it up into a few bytes.
00111111
01110000
00000000
...
Null terminated strings are terminated with none other than... a null byte! (A byte with all zeros). So this means that your string contains two bytes that are ASCII characters. Byte 1 has a value of 63 and byte two has a value of 112. If you have a look at an ASCII chart like this one you'll see that 63 corresponds to '?' and 112 corresponds to 'p'.

Related

How to encode ASCII text in binary opcode instructions?

I do not need a refresher on anything. I am generally asking how would one encode a data string within the data segment of a binary file for execution on bare metal.
Purpose? Say I am writing a bootloader, and I need to define the static data used in the file to represent the string to move to a memory address, for example, with the Genesis TMSS issue.
I assume that binary encoding of an address is literally-translated-as binary equivalent to its hexadecimal representation in Motorola 68000 memory-mapping, so that's not an issue for now.
The issue is ... how do I encode strings/characters/glyphs in binary code to encode within an M68000k opcode? I read the manual, references, etc., and none quite touch this(from what I read through).
Say I want to encode move.l #'SEGA', $A14000. I would get this resulting opcode (without considering how to encode the ASCII characters):
0010 1101 0100 0010 1000 0000 0000 0000
Nibble 1 = MOVE LONG, Nibble 2 = MEMORY ADDRESSING MODE, Following three bytes equals address.
My question is, do I possibly encode each string in literal ASCII per character as part of the preceeding MAM nibble of the instruction?
I am confused at this point, and was hoping somebody might know how to encode data text within an instruction.
Well I had experienced programming in 4 different assembly languages,and Motorola M68HC11 is one of them.In my experience, ASCII is just for display purposes. The CPU at low level treats everything as binary values, it cannot distinguish between ASCII characters and other characters. Although higher assembly languages like x86 support instructions like AAA(ASCII adjust for addition) which makes sure that after addition of two ASCII numbers the result is still a legal ASCII number.
So mainly it's assembler dependent, if the assembler supports the instruction move.l #'SEGA', $A14000 this might work, but since you are not using an assembler and directly writing op-codes, you have to encode the ascii into binary, example ascii number '1'(0x31) will be encoded as 0000 0000 0011 0001 in 16 bit representation. Also in my experience there's no machine code which can move the whole string. SO in microcode the first character is fetched, then copied to destination address, then second character is fetched and copied it into second location and so on..
Assuming that instruction size is 32 bits long and immediate addressing mode is supported the first two nibbles would suggest the move instruction and the immediate addressing type, next two nibbles would be the binary encoded character and remaining would be the address you want to copy it to. Hope this helps

How do I shorten a base64 string?

What is the easiest way to shorten a base 64 string. e.g
PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6eG1wPSJodHRwOi8v
I just learned how to convert binary to base64. If I'm correct, groups of 24bits are made and groups of 6bits are used to create the 64 charcters A-Z a-z 0-9 +/
I was wondering is it possible to further shrink a base 64 string and make it smaller; I was hoping to reduce a 100 character base64 string to 20 or less characters.
A 100-character base64 string contains 600 bits of information. A base64 string contains 6 bits in each character and requires 100 characters to represent your data. It is encoded in US-ASCII (by definition) and described in RFC 4648. This is In order to represent your data in 20 characters you need 30 bits in each character (600/20).
In a contrived fashion, using a very large Unicode mapping, it would be possible to render a unified CJK typeface, but it would still require the minimum of about 40 glyphs (~75 bytes) to represent the data. It would also be really difficult to debug the encoding and be really prone to misinterpretation. Further, the purpose of base64 encoding is to present a representation that is not destroyed by broken intermediate systems. This would very likely not work with anything as obscure as a base2Billion encoding.

What are Unicode, UTF-8, and UTF-16?

What's the basis for Unicode and why the need for UTF-8 or UTF-16?
I have researched this on Google and searched here as well, but it's not clear to me.
In VSS, when doing a file comparison, sometimes there is a message saying the two files have differing UTF's. Why would this be the case?
Please explain in simple terms.
Why do we need Unicode?
In the (not too) early days, all that existed was ASCII. This was okay, as all that would ever be needed were a few control characters, punctuation, numbers and letters like the ones in this sentence. Unfortunately, today's strange world of global intercommunication and social media was not foreseen, and it is not too unusual to see English, العربية, 汉语, עִבְרִית, ελληνικά, and ភាសាខ្មែរ in the same document (I hope I didn't break any old browsers).
But for argument's sake, let’s say Joe Average is a software developer. He insists that he will only ever need English, and as such only wants to use ASCII. This might be fine for Joe the user, but this is not fine for Joe the software developer. Approximately half the world uses non-Latin characters and using ASCII is arguably inconsiderate to these people, and on top of that, he is closing off his software to a large and growing economy.
Therefore, an encompassing character set including all languages is needed. Thus came Unicode. It assigns every character a unique number called a code point. One advantage of Unicode over other possible sets is that the first 256 code points are identical to ISO-8859-1, and hence also ASCII. In addition, the vast majority of commonly used characters are representable by only two bytes, in a region called the Basic Multilingual Plane (BMP). Now a character encoding is needed to access this character set, and as the question asks, I will concentrate on UTF-8 and UTF-16.
Memory considerations
So how many bytes give access to what characters in these encodings?
UTF-8:
1 byte: Standard ASCII
2 bytes: Arabic, Hebrew, most European scripts (most notably excluding Georgian)
3 bytes: BMP
4 bytes: All Unicode characters
UTF-16:
2 bytes: BMP
4 bytes: All Unicode characters
It's worth mentioning now that characters not in the BMP include ancient scripts, mathematical symbols, musical symbols, and rarer Chinese, Japanese, and Korean (CJK) characters.
If you'll be working mostly with ASCII characters, then UTF-8 is certainly more memory efficient. However, if you're working mostly with non-European scripts, using UTF-8 could be up to 1.5 times less memory efficient than UTF-16. When dealing with large amounts of text, such as large web-pages or lengthy word documents, this could impact performance.
Encoding basics
Note: If you know how UTF-8 and UTF-16 are encoded, skip to the next section for practical applications.
UTF-8: For the standard ASCII (0-127) characters, the UTF-8 codes are identical. This makes UTF-8 ideal if backwards compatibility is required with existing ASCII text. Other characters require anywhere from 2-4 bytes. This is done by reserving some bits in each of these bytes to indicate that it is part of a multi-byte character. In particular, the first bit of each byte is 1 to avoid clashing with the ASCII characters.
UTF-16: For valid BMP characters, the UTF-16 representation is simply its code point. However, for non-BMP characters UTF-16 introduces surrogate pairs. In this case a combination of two two-byte portions map to a non-BMP character. These two-byte portions come from the BMP numeric range, but are guaranteed by the Unicode standard to be invalid as BMP characters. In addition, since UTF-16 has two bytes as its basic unit, it is affected by endianness. To compensate, a reserved byte order mark can be placed at the beginning of a data stream which indicates endianness. Thus, if you are reading UTF-16 input, and no endianness is specified, you must check for this.
As can be seen, UTF-8 and UTF-16 are nowhere near compatible with each other. So if you're doing I/O, make sure you know which encoding you are using! For further details on these encodings, please see the UTF FAQ.
Practical programming considerations
Character and string data types: How are they encoded in the programming language? If they are raw bytes, the minute you try to output non-ASCII characters, you may run into a few problems. Also, even if the character type is based on a UTF, that doesn't mean the strings are proper UTF. They may allow byte sequences that are illegal. Generally, you'll have to use a library that supports UTF, such as ICU for C, C++ and Java. In any case, if you want to input/output something other than the default encoding, you will have to convert it first.
Recommended, default, and dominant encodings: When given a choice of which UTF to use, it is usually best to follow recommended standards for the environment you are working in. For example, UTF-8 is dominant on the web, and since HTML5, it has been the recommended encoding. Conversely, both .NET and Java environments are founded on a UTF-16 character type. Confusingly (and incorrectly), references are often made to the "Unicode encoding", which usually refers to the dominant UTF encoding in a given environment.
Library support: The libraries you are using support some kind of encoding. Which one? Do they support the corner cases? Since necessity is the mother of invention, UTF-8 libraries will generally support 4-byte characters properly, since 1, 2, and even 3 byte characters can occur frequently. However, not all purported UTF-16 libraries support surrogate pairs properly since they occur very rarely.
Counting characters: There exist combining characters in Unicode. For example, the code point U+006E (n), and U+0303 (a combining tilde) forms ñ, but the code point U+00F1 forms ñ. They should look identical, but a simple counting algorithm will return 2 for the first example, and 1 for the latter. This isn't necessarily wrong, but it may not be the desired outcome either.
Comparing for equality: A, А, and Α look the same, but they're Latin, Cyrillic, and Greek respectively. You also have cases like C and Ⅽ. One is a letter, and the other is a Roman numeral. In addition, we have the combining characters to consider as well. For more information, see Duplicate characters in Unicode.
Surrogate pairs: These come up often enough on Stack Overflow, so I'll just provide some example links:
Getting string length
Removing surrogate pairs
Palindrome checking
Unicode
is a set of characters used around the world
UTF-8
a character encoding capable of encoding all possible characters (called code points) in Unicode.
code unit is 8-bits
use one to four code units to encode Unicode
00100100 for "$" (one 8-bits);11000010 10100010 for "¢" (two 8-bits);11100010 10000010 10101100 for "€" (three 8-bits)
UTF-16
another character encoding
code unit is 16-bits
use one to two code units to encode Unicode
00000000 00100100 for "$" (one 16-bits);11011000 01010010 11011111 01100010 for "𤭢" (two 16-bits)
Unicode is a fairly complex standard. Don’t be too afraid, but be
prepared for some work! [2]
Because a credible resource is always needed, but the official report is massive, I suggest reading the following:
The Absolute Minimum Every Software Developer Absolutely, Positively Must Know About Unicode and Character Sets (No Excuses!) An introduction by Joel Spolsky, Stack Exchange CEO.
To the BMP and beyond! A tutorial by Eric Muller, Technical Director then, Vice President later, at The Unicode Consortium (the first 20 slides and you are done)
A brief explanation:
Computers read bytes and people read characters, so we use encoding standards to map characters to bytes. ASCII was the first widely used standard, but covers only Latin (seven bits/character can represent 128 different characters). Unicode is a standard with the goal to cover all possible characters in the world (can hold up to 1,114,112 characters, meaning 21 bits/character maximum. Current Unicode 8.0 specifies 120,737 characters in total, and that's all).
The main difference is that an ASCII character can fit to a byte (eight bits), but most Unicode characters cannot. So encoding forms/schemes (like UTF-8 and UTF-16) are used, and the character model goes like this:
Every character holds an enumerated position from 0 to 1,114,111 (hex: 0-10FFFF) called a code point.
An encoding form maps a code point to a code unit sequence. A code unit is the way you want characters to be organized in memory, 8-bit units, 16-bit units and so on. UTF-8 uses one to four units of eight bits, and UTF-16 uses one or two units of 16 bits, to cover the entire Unicode of 21 bits maximum. Units use prefixes so that character boundaries can be spotted, and more units mean more prefixes that occupy bits. So, although UTF-8 uses one byte for the Latin script, it needs three bytes for later scripts inside a Basic Multilingual Plane, while UTF-16 uses two bytes for all these. And that's their main difference.
Lastly, an encoding scheme (like UTF-16BE or UTF-16LE) maps (serializes) a code unit sequence to a byte sequence.
character: π
code point: U+03C0
encoding forms (code units):
      UTF-8: CF 80
      UTF-16: 03C0
encoding schemes (bytes):
      UTF-8: CF 80
      UTF-16BE: 03 C0
      UTF-16LE: C0 03
Tip: a hexadecimal digit represents four bits, so a two-digit hex number represents a byte.
Also take a look at plane maps on Wikipedia to get a feeling of the character set layout.
The article What every programmer absolutely, positively needs to know about encodings and character sets to work with text explains all the details.
Writing to buffer
if you write to a 4 byte buffer, symbol あ with UTF8 encoding, your binary will look like this:
00000000 11100011 10000001 10000010
if you write to a 4 byte buffer, symbol あ with UTF16 encoding, your binary will look like this:
00000000 00000000 00110000 01000010
As you can see, depending on what language you would use in your content this will effect your memory accordingly.
Example: For this particular symbol: あ UTF16 encoding is more efficient since we have 2 spare bytes to use for the next symbol. But it doesn't mean that you must use UTF16 for Japan alphabet.
Reading from buffer
Now if you want to read the above bytes, you have to know in what encoding it was written to and decode it back correctly.
e.g. If you decode this :
00000000 11100011 10000001 10000010
into UTF16 encoding, you will end up with 臣 not あ
Note: Encoding and Unicode are two different things. Unicode is the big (table) with each symbol mapped to a unique code point. e.g. あ symbol (letter) has a (code point): 30 42 (hex). Encoding on the other hand, is an algorithm that converts symbols to more appropriate way, when storing to hardware.
30 42 (hex) - > UTF8 encoding - > E3 81 82 (hex), which is above result in binary.
30 42 (hex) - > UTF16 encoding - > 30 42 (hex), which is above result in binary.
Originally, Unicode was intended to have a fixed-width 16-bit encoding (UCS-2). Early adopters of Unicode, like Java and Windows NT, built their libraries around 16-bit strings.
Later, the scope of Unicode was expanded to include historical characters, which would require more than the 65,536 code points a 16-bit encoding would support. To allow the additional characters to be represented on platforms that had used UCS-2, the UTF-16 encoding was introduced. It uses "surrogate pairs" to represent characters in the supplementary planes.
Meanwhile, a lot of older software and network protocols were using 8-bit strings. UTF-8 was made so these systems could support Unicode without having to use wide characters. It's backwards-compatible with 7-bit ASCII.
Unicode is a standard which maps the characters in all languages to a particular numeric value called a code point. The reason it does this is that it allows different encodings to be possible using the same set of code points.
UTF-8 and UTF-16 are two such encodings. They take code points as input and encodes them using some well-defined formula to produce the encoded string.
Choosing a particular encoding depends upon your requirements. Different encodings have different memory requirements and depending upon the characters that you will be dealing with, you should choose the encoding which uses the least sequences of bytes to encode those characters.
For more in-depth details about Unicode, UTF-8 and UTF-16, you can check out this article,
What every programmer should know about Unicode
Why Unicode? Because ASCII has just 127 characters. Those from 128 to 255 differ in different countries, and that's why there are code pages. So they said: let’s have up to 1114111 characters.
So how do you store the highest code point? You'll need to store it using 21 bits, so you'll use a DWORD having 32 bits with 11 bits wasted. So if you use a DWORD to store a Unicode character, it is the easiest way, because the value in your DWORD matches exactly the code point.
But DWORD arrays are of course larger than WORD arrays and of course even larger than BYTE arrays. That's why there is not only UTF-32, but also UTF-16. But UTF-16 means a WORD stream, and a WORD has 16 bits, so how can the highest code point 1114111 fit into a WORD? It cannot!
So they put everything higher than 65535 into a DWORD which they call a surrogate-pair. Such a surrogate-pair are two WORDS and can get detected by looking at the first 6 bits.
So what about UTF-8? It is a byte array or byte stream, but how can the highest code point 1114111 fit into a byte? It cannot! Okay, so they put in also a DWORD right? Or possibly a WORD, right? Almost right!
They invented utf-8 sequences which means that every code point higher than 127 must get encoded into a 2-byte, 3-byte or 4-byte sequence. Wow! But how can we detect such sequences? Well, everything up to 127 is ASCII and is a single byte. What starts with 110 is a two-byte sequence, what starts with 1110 is a three-byte sequence and what starts with 11110 is a four-byte sequence. The remaining bits of these so called "startbytes" belong to the code point.
Now depending on the sequence, following bytes must follow. A following byte starts with 10, and the remaining bits are 6 bits of payload bits and belong to the code point. Concatenate the payload bits of the startbyte and the following byte/s and you'll have the code point. That's all the magic of UTF-8.
ASCII - Software allocates only 8 bit byte in memory for a given character. It works well for English and adopted (loanwords like façade) characters as their corresponding decimal values falls below 128 in the decimal value. Example C program.
UTF-8 - Software allocates one to four variable 8-bit bytes for a given character. What is meant by a variable here? Let us say you are sending the character 'A' through your HTML pages in the browser (HTML is UTF-8), the corresponding decimal value of A is 65, when you convert it into decimal it becomes 01000010. This requires only one byte, and one byte memory is allocated even for special adopted English characters like 'ç' in the word façade. However, when you want to store European characters, it requires two bytes, so you need UTF-8. However, when you go for Asian characters, you require minimum of two bytes and maximum of four bytes. Similarly, emojis require three to four bytes. UTF-8 will solve all your needs.
UTF-16 will allocate minimum 2 bytes and maximum of 4 bytes per character, it will not allocate 1 or 3 bytes. Each character is either represented in 16 bit or 32 bit.
Then why does UTF-16 exist? Originally, Unicode was 16 bit not 8 bit. Java adopted the original version of UTF-16.
In a nutshell, you don't need UTF-16 anywhere unless it has been already been adopted by the language or platform you are working on.
Java program invoked by web browsers uses UTF-16, but the web browser sends characters using UTF-8.
UTF stands for stands for Unicode Transformation Format. Basically, in today's world there are scripts written in hundreds of other languages, formats not covered by the basic ASCII used earlier. Hence, UTF came into existence.
UTF-8 has character encoding capabilities and its code unit is eight bits while that for UTF-16 it is 16 bits.

How many characters are there in a GUID?

Using ASCII encoding, how many characters are there in a GUID?
I'm interested in the Microsoft style, which includes the curly brackets and dashes.
From MSDN:
A GUID is a 128-bit value consisting
of one group of 8 hexadecimal digits,
followed by three groups of 4
hexadecimal digits each, followed by
one group of 12 hexadecimal digits.
The following example GUID shows the
groupings of hexadecimal digits in a
GUID:
6B29FC40-CA47-1067-B31D-00DD010662DA
From Wikipedia:
Often braces are added to enclose the
above format, as such:
{3F2504E0-4F89-11D3-9A0C-0305E82C3301}
So a total of 38 characters in the typical hexadecimal encoding with curly braces.
-Adam
TL;DR: None.
As Adam Davis stated, the Microsoft style is HEX encoding (with braces and dashes to make it more readable) that can be displayed using a subset of ASCII characters (0-9 and A-F), but this is not specifically ASCII encoding.
I guess it's important to remember that the microsoft style of displaying GUID's is only a representation of a GUID, which is actually a 16 byte integral value (as Micheal Trausch stated).
You can also present it in different, more compact ways by converting the bytes into a different character set (like ASCII).
Theoretically you can display each byte as an extended ASCII character (255 characters), which would allow you to save a GUID as a 16 character length string.
It wouldn't be very readable though because it would include whitespace characters (CR, space, tab, etc) and other special characters, so this would only make sense if you want to efficiently save a GUID in a non-human readable character format, for example in in a database that doesn't natively support GUID's or fast matching of small binary values:
http://en.wikipedia.org/wiki/Extended_ASCII
IMHO the most readable way to display a GUID more compact would be to use Base64 encoding, which allows you to save it in a string with a length of 22 characters, and would make it look like this:
7v26IM9P2kmVepd7ZxuXyQ==
But as Jeff Atwood states on his site, you can also push a GUID into an ASCII85 encoded string with 20 characters:
[Rb*hlkkXVW+q4s(YSF0
For more inspiration, see:
http://www.codinghorror.com/blog/2005/10/equipping-our-ascii-armor.html
As Adam mentioned from the MSDN quote, UUIDs are 128-bit values. This means that they take 16 bytes of RAM to hold a value. A text representation will take 32 bytes (two bytes for each single byte), plus the 4 hyphens, plus the two brackets if you want to include those; this amounts to 38 bytes.
Just keep in mind that if you are exposing UUIDs to users of your software, they may provide the UUID with or without the brackets. If you're storing the value anywhere, it's best to store it as the 16-byte binary representation. If you are interoperating with other UUID implementations, you may want to use the basic text format for interoperability, since different implementations do different things to the order of bytes when storing a binary UUID value.
The length depends on the encoding. You can get the standard encoding and length with this snippet:
public void Main()
{
var guid = Guid.Empty;
Write(guid, "N"); // 32 characters
Write(guid, "D"); // 36 characters (default)
Write(guid, "B"); // 38 characters
Write(guid, "P"); // 38 characters
Write(guid, "X"); // 68 characters
}
private void Write(Guid guid, string format)
{
var guidString = guid.ToString(format);
Console.WriteLine("{0}: {1} ({2} characters)", format, guidString, guidString.Length);
}
See the Guid.ToString method for details:

What is base 64 encoding used for?

I've heard people talking about "base 64 encoding" here and there. What is it used for?
When you have some binary data that you want to ship across a network, you generally don't do it by just streaming the bits and bytes over the wire in a raw format. Why? because some media are made for streaming text. You never know -- some protocols may interpret your binary data as control characters (like a modem), or your binary data could be screwed up because the underlying protocol might think that you've entered a special character combination (like how FTP translates line endings).
So to get around this, people encode the binary data into characters. Base64 is one of these types of encodings.
Why 64?
Because you can generally rely on the same 64 characters being present in many character sets, and you can be reasonably confident that your data's going to end up on the other side of the wire uncorrupted.
It's basically a way of encoding arbitrary binary data in ASCII text. It takes 4 characters per 3 bytes of data, plus potentially a bit of padding at the end.
Essentially each 6 bits of the input is encoded in a 64-character alphabet. The "standard" alphabet uses A-Z, a-z, 0-9 and + and /, with = as a padding character. There are URL-safe variants.
Wikipedia is a reasonably good source of more information.
Years ago, when mailing functionality was introduced, so that was utterly text based, as the time passed, need for attachments like image and media (audio,video etc) came into existence. When these attachments are sent over internet (which is basically in the form of binary data), the probability of binary data getting corrupt is high in its raw form. So, to tackle this problem BASE64 came along.
The problem with binary data is that it contains null characters which in some languages like C,C++ represent end of character string so sending binary data in raw form containing NULL bytes will stop a file from being fully read and lead in a corrupt data.
For Example :
In C and C++, this "null" character shows the end of a string. So "HELLO" is stored like this:
H E L L O
72 69 76 76 79 00
The 00 says "stop here".
Now let’s dive into how BASE64 encoding works.
Point to be noted : Length of the string should be in multiple of 3.
Example 1 :
String to be encoded : “ace”, Length=3
Convert each character to decimal.
a= 97, c= 99, e= 101
Change each decimal to 8-bit binary representation.
97= 01100001, 99= 01100011, 101= 01100101
Combined : 01100001 01100011 01100101
Separate in a group of 6-bit.
011000 010110 001101 100101
Calculate binary to decimal
011000= 24, 010110= 22, 001101= 13, 100101= 37
Covert decimal characters to base64 using base64 chart.
24= Y, 22= W, 13= N, 37= l
“ace” => “YWNl”
Example 2 :
String to be encoded : “abcd” Length=4, it's not multiple of 3. So to make string length multiple of 3 , we must add 2 bit padding to make length= 6. Padding bit is represented by “=” sign.
Point to be noted : One padding bit equals two zeroes 00 so two padding bit equals four zeroes 0000.
So lets start the process :–
Convert each character to decimal.
a= 97, b= 98, c= 99, d= 100
Change each decimal to 8-bit binary representation.
97= 01100001, 98= 01100010, 99= 01100011, 100= 01100100
Separate in a group of 6-bit.
011000, 010110, 001001, 100011, 011001, 00
so the last 6-bit is not complete so we insert two padding bit which equals four zeroes “0000”.
011000, 010110, 001001, 100011, 011001, 000000 ==
Now, it is equal. Two equals sign at the end show that 4 zeroes were added (helps in decoding).
Calculate binary to decimal.
011000= 24, 010110= 22, 001001= 9, 100011= 35, 011001= 25, 000000=0 ==
Covert decimal characters to base64 using base64 chart.
24= Y, 22= W, 9= j, 35= j, 25= Z, 0= A ==
“abcd” => “YWJjZA==”
Base-64 encoding is a way of taking binary data and turning it into text so that it's more easily transmitted in things like e-mail and HTML form data.
http://en.wikipedia.org/wiki/Base64
It's a textual encoding of binary data where the resultant text has nothing but letters, numbers and the symbols "+", "/" and "=". It's a convenient way to store/transmit binary data over media that is specifically used for textual data.
But why Base-64? The two alternatives for converting binary data into text that immediately spring to mind are:
Decimal: store the decimal value of each byte as three numbers: 045 112 101 037 etc. where each byte is represented by 3 bytes. The data bloats three-fold.
Hexadecimal: store the bytes as hex pairs: AC 47 0D 1A etc. where each byte is represented by 2 bytes. The data bloats two-fold.
Base-64 maps 3 bytes (8 x 3 = 24 bits) in 4 characters that span 6-bits (6 x 4 = 24 bits). The result looks something like "TWFuIGlzIGRpc3Rpb...". Therefore the bloating is only a mere 4/3 = 1.3333333 times the original.
Aside from what's already been said, two very common uses that have not been listed are
Hashes:
Hashes are one-way functions that transform a block of bytes into another block of bytes of a fixed size such as 128bit or 256bit (SHA/MD5). Converting the resulting bytes into Base64 makes it much easier to display the hash especially when you are comparing a checksum for integrity. Hashes are so often seen in Base64 that many people mistake Base64 itself as a hash.
Cryptography:
Since an encryption key does not have to be text but raw bytes it is sometimes necessary to store it in a file or database, which Base64 comes in handy for. Same with the resulting encrypted bytes.
Note that although Base64 is often used in cryptography is not a security mechanism. Anyone can convert the Base64 string back to its original bytes, so it should not be used as a means for protecting data, only as a format to display or store raw bytes more easily.
Certificates
x509 certificates in PEM format are base 64 encoded. http://how2ssl.com/articles/working_with_pem_files/
In the early days of computers, when telephone line inter-system communication was not particularly reliable, a quick & dirty method of verifying data integrity was used: "bit parity". In this method, every byte transmitted would have 7-bits of data, and the 8th would be 1 or 0, to force the total number of 1 bits in the byte to be even.
Hence 0x01 would be transmited as 0x81; 0x02 would be 0x82; 0x03 would remain 0x03 etc.
To further this system, when the ASCII character set was defined, only 00-7F were assigned characters. (Still today, all characters set in the range 80-FF are non-standard)
Many routers of the day put the parity check and byte translation into hardware, forcing the computers attached to them to deal strictly with 7-bit data. This force email attachments (and all other data, which is why HTTP & SMTP protocols are text-based), to be convert into a text-only format.
Few of the routers survived into the 90s. I severely doubt any of them are in use today.
From http://en.wikipedia.org/wiki/Base64
The term Base64 refers to a specific MIME content transfer encoding.
It is also used as a generic term for any similar encoding scheme that
encodes binary data by treating it numerically and translating it into
a base 64 representation. The particular choice of base is due to the
history of character set encoding: one can choose a set of 64
characters that is both part of the subset common to most encodings,
and also printable. This combination leaves the data unlikely to be
modified in transit through systems, such as email, which were
traditionally not 8-bit clean.
Base64 can be used in a variety of contexts:
Evolution and Thunderbird use Base64 to obfuscate e-mail passwords[1]
Base64 can be used to transmit and store text that might otherwise cause delimiter collision
Base64 is often used as a quick but insecure shortcut to obscure secrets without incurring the overhead of cryptographic key management
Spammers use Base64 to evade basic anti-spamming tools, which often do not decode Base64 and therefore cannot detect keywords in encoded
messages.
Base64 is used to encode character strings in LDIF files
Base64 is sometimes used to embed binary data in an XML file, using a syntax similar to ...... e.g.
Firefox's bookmarks.html.
Base64 is also used when communicating with government Fiscal Signature printing devices (usually, over serial or parallel ports) to
minimize the delay when transferring receipt characters for signing.
Base64 is used to encode binary files such as images within scripts, to avoid depending on external files.
Can be used to embed raw image data into a CSS property such as background-image.
Some transportation protocols only allow alphanumerical characters to be transmitted. Just imagine a situation where control characters are used to trigger special actions and/or that only supports a limited bit width per character. Base64 transforms any input into an encoding that only uses alphanumeric characters, +, / and the = as a padding character.
Base64 is a binary to a text encoding scheme that represents binary data in an ASCII string format. It is designed to carry data stored in binary format across the network channels.
Base64 mechanism uses 64 characters to encode. These characters consist of:
10 numeric value: i.e., 0,1,2,3,...,9
26 Uppercase alphabets: i.e., A,B,C,D,...,Z
26 Lowercase alphabets: i.e., a,b,c,d,...,z
2 special characters (these characters depends on operating system): i.e. +,/
How base64 works
The steps to encode a string with base64 algorithm are as follow:
Count the number of characters in a String. If it is not multiple of 3, then pad it with special characters (i.e. =) to make it multiple of 3.
Convert string to ASCII binary format 8-bit using the ASCII table.
After converting to binary format, divide binary data into chunks of 6-bits.
Convert chunks of 6-bit binary data to decimal numbers.
Convert decimals to string according to the base64 Index Table. This table can be an example, but as I said, 2 special characters may vary.
Now, we got the encoded version of the input string.
Let's make an example: convert string THS to base64 encoding string.
Count the number of characters: it is already a multiple of 3.
Convert to ASCII binary format 8-bit. We got (T)01010100 (H)01001000 (S)01010011
Divide binary data into chunks of 6-bits. We got 010101 000100 100001 010011
Convert chunks of 6-bit binary data to decimal numbers.We got 21 4 33 19
Convert decimals to string according to the base64 Index Table. We got VEhT
It's used for converting arbitrary binary data to ASCII text.
For example, e-mail attachments are sent this way.
“Base64 encoding schemes are commonly used when there is a need to encode binary data that needs be stored and transferred over media that are designed to deal with textual data. This is to ensure that the data remains intact without modification during transport”(Wiki, 2017)
Example could be the following: you have a web service that accept only ASCII chars. You want to save and then transfer user’s data to some other location (API) but recipient want receive untouched data. Base64 is for that. . . The only downside is that base64 encoding will require around 33% more space than regular strings.
Another Example:: uenc = url encoded = aHR0cDovL2xvYy5tYWdlbnRvLmNvbS9hc2ljcy1tZW4tcy1nZWwta2F5YW5vLXhpaS5odG1s = http://loc.querytip.com/asics-men-s-gel-kayano-xii.html.
As you can see we can’t put char “/” in URL if we want to send last visited URL as parameter because we would break attribute/value rule for “MOD rewrite” – GET parameter.
A full example would be: “http://loc.querytip.com/checkout/cart/add/uenc/http://loc.magento.com/asics-men-s-gel-kayano-xii.html/product/93/”
I use it in a practical sense when we transfer large binary objects (images) via web services. So when I am testing a C# web service using a python script, the binary object can be recreated with a little magic.
[In python]
import base64
imageAsBytes = base64.b64decode( dataFromWS )
The usage of Base64 I'm going to describe here is somewhat a hack. So if you don't like hacks, please do not go on.
I went into trouble when I discovered that MySQL's utf8 does not support 4-byte unicode characters since it uses a 3-byte version of utf8. So what I did to support full 4-byte unicode over MySQL's utf8? Well, base64 encode strings when storing into the database and base64 decode when retrieving.
Since base64 encoding and decoding is very fast, the above worked perfectly.
You have the following points to take note of:
Base64 encoding uses 33% more storage
Strings stored in the database wont be human readable (You could sell that as a feature that database strings use a basic form of encryption).
You could use the above method for any storage engine that does not support unicode.
Mostly, I've seen it used to encode binary data in contexts that can only handle ascii - or a simple - character sets.
The base64 is a binary to a text encoding scheme that represents binary data in an ASCII string format. base64 is designed to carry data stored in binary format across the channels. It takes any form of data and transforms it into a long string of plain text. Earlier we can not transfer a large amount of data like files because it is made up of 2⁸ bit bytes but our actual network uses 2⁷ bit bytes. This is where base64 encoding came into the picture. But, what actually does base64 mean?
let’s understand the meaning of base64.
base64 = base+64
we can call base64 as a radix-64 representation.base64 uses only 6-bits(2⁶ = 64 characters) to ensure the printable data is human readable. but, how? we can also write base65 or base78, but why only 64? let’s prove it.
base64 encoding contains 64 characters to encode any string.
base64 contains:
10 numeric value i.e., 0,1,2,3,…..9.
26 Uppercase alphabets i.e., A,B,C,D,…….Z.
26 Lowercase alphabets i.e., a,b,c,d,……..z.
two special characters i.e., +,/. Depends upon your OS.
The steps followed by the base64 algorithm are as follow:
count the number of characters in a String.
If it is not multiple of 3 pad with special character i.e., = to
make it multiple of 3.
Encode the string in ASCII format.
Now, it will convert the ASCII to binary format 8-bit each.
After converting to binary format, it will divide binary data into
chunks of 6-bits each.
The chunks of 6-bit binary data will now be converted to decimal
number format.
Using the base64 Index Table, the decimals will be again converted
to a string according to the table format.
Finally, we will get the encoded version of our input string.
To expand a bit on what Brad is saying: many transport mechanisms for email and Usenet and other ways of moving data are not "8 bit clean", which means that characters outside the standard ascii character set might be mangled in transit - for instance, 0x0D might be seen as a carriage return, and turned into a carriage return and line feed. Base 64 maps all the binary characters into several standard ascii letters and numbers and punctuation so they won't be mangled this way.
One hexadecimal digit is of one nibble (4 bits). Two nibbles make 8 bits which are also called 1 byte.
MD5 generates a 128-bit output which is represented using a sequence of 32 hexadecimal digits, which in turn are 32*4=128 bits. 128 bits make 16 bytes (since 1 byte is 8 bits).
Each Base64 character encodes 6 bits (except the last non-pad character which can encode 2, 4 or 6 bits; and final pad characters, if any). Therefore, per Base64 encoding, a 128-bit hash requires at least ⌈128/6⌉ = 22 characters, plus pad if any.
Using base64, we can produce the encoded output of our desired length (6, 8, or 10).
If we choose to decide 8 char long output, it occupies only 8 bytes whereas it was occupying 16 bytes for 128-bit hash output.
So, in addition to security, base64 encoding is also used to reduce the space consumed.
Base64 can be used for many purposes.
The primary reason is to convert binary data to something passable.
I sometimes use it to pass JSON data around from one site to another, store information
in cookies about a user.
Note:
You "can" use it for encryption - I don't see why people say you can't, and that it's not encryption, although it would be easily breakable and is frowned upon. Encryption means nothing more than converting one string of data to another string of data that can be either later decrypted or not, and that's what base64 does.