Omit heading in Radix-64 smoothly

Aug 6th, 2022
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How to Omit heading in Radix-64

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now decimal or base 10 binary or base 2 and hexadecimal base 16 are all positional numeral systems they use a set of symbols or characters to represent numbers base 64 is similar in the sense that it deploys a set of 64 symbols to represent values but its not really used arithmetic Li rather it is generally deployed in computer software for encoding binary data so when we say base 64 we usually mean by 64 encoding the standard base 64 character set generally consists of the uppercase alphabet a lowercase alphabets all the numbers a plus sign and a forward slash a total of 64 symbols by 64 encoding is the operation of converting data into ascii text format so that it can be transmitted in a text stream or held in an XML document for example typically the input is binary data containing non-printable characters so conversion to ASCII is required before it can be sent as an email attachment for example the weight by 64 works is by successively taking three characters of input and convert

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The equals sign = represents a padding, usually seen at the end of a Base64 encoded sequence. Each group of six bits is encoded using the above conversion.
A Base64 ends with either = or == or any of the accepted Base64 digit [A-Za-z0-9+-]. The = is a padding that indicates the number of actual bytes of data in the last three bytes.
This post suggests (see Anirudh Ramanathans answer) that a Base64 encoded string can end up with up to 3 equal characters.
Remember I said the = character has a special meaning? Its used to pad the end of a base64 encoded string. Remember that Base64 encodes 24 bits in chunks of 6 bits equaling 4 base64 characters. We get our last group of 24 bits by first adding zero bits to fill in the remaining bits of our last group of 6 bits.
Radix 64 or base 64 is a binary-to-text encoding system that is designed to allow binary data to be represented in ASCII string format. This is an educational project accepts a string from a user and Radix 64 encodes it. A GitHub repo accompanies this post, with a working example in C.
The = sign is used to indicate padding if the input string length is not a multiple of 3 bytes. If we have four bytes for the input, then the base64 encoding ends with two equal signs, just to indicate that it had to add two characters of padding.
A Base64 string will end with == if and only if the number of bytes it encodes, mod 3, equals 1. Do you see the pattern? It happens that 16-byte (128-bit) encryption keys are very commonly encoded in Base64, and since 16 mod 3 = 1, their encoding will end with == .
Lets consider 1004 as an example. Step 1: split the string by digit. Step 2: convert each char to binary equivalent in ASCII. Step 3: concatenate the binary representation. Step 4: partition the above but now in groups 6. Step 5: pad-left each partition to convert our 6 bit byte into an 8 bit byte.
When decoding Base64 text, four characters are typically converted back to three bytes. The only exceptions are when padding characters exist. A single = indicates that the four characters will decode to only two bytes, while == indicates that the four characters will decode to only a single byte.
Decoding Base64-URL without padding 1) Add padding. Divide the length of the input string by 4, take the remainder. 2) Translate to Base64. Replace all - characters by + and all characters by / . 3) Decode Base64. Base64 decoding should be available as a library for your favorite language

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