#Binary to text encoding how to

Notice, the radix is changed from 10 to 2 and the number of symbols changed from 2 to 7! As lower a radix gets, as more symbols appear in representation. If a number 83 with a radix 10 is converted to a radix 2, it gets a form '1010011'. It is worth noticing that converting a number to a higher radix leads to lower a number of symbols needed for its representation. If the radix is 8, then it is an Octal system and it is constructed as 1*8^2 + 2*8^1 + 3*8^0 which gives us a Decimal number 83. If the radix is 10 then it is 'one hundred twenty three' in the Decimal system and it can be calculated by the formula for converting a numeral system with any radix to radix 10 (because all numbers in this formula have radix 10): 1*10^2 + 2*10^1 + 3*10^0 = 123. This is a number '123' that is represented by three symbols, but until we know a radix, it is not possible to understand its value. The intermediate numeral system could have been any radix, but radix 10 is what people use for calculations and that's what can be found in most converters implementations. Every time, when there is a need to convert a number X with radix M to a number Y with radix M, both numbers (X and Y) are represented by some certain alphabets (which define symbols with values), but their radixes (M and N) are always represented in Decimal system, thus, Decimal system is used as an intermediate numeral system to which a number X is converted first, and then the intermediate number is converted to a number Y.

Every time, when a number is defined by a radix, this radix is Decimal, no matter what's the radix of a number. The Decimal numeral system is a temporary system that is used for converting one numeral system to another. In most cases, this radix is 10 (Decimal). To any symbol in an alphabet is assigned its certain position which is a number with some radix. Numbers gain more sense for them when they are represented as Decimal numbers and this is the system that is used the most for calculations. Humans in most cases nowadays use the Decimal numeral system.

#Binary to text encoding how to

The only question here is how to find the best size and ratio of such chunks (input and output) to keep the size overhead as closely as possible to a minimum available by treating files as big numbers. These chunks are much smaller and, ideally, fit the CPU registers' size (up to 8 bytes). This issue is usually addressed by processing a file as a stream of bytes, in chunks, which then are being converted in the same way (by converting a number from one base to another).

For instance, if it's being transmitted over a network and only a small amount of bytes from the beginning (from the Most Significant Byte, MSB) has been loaded. Although, there is not always enough memory to load a whole file as well as there is not always the whole file is available at any given time.

To construct a number, the Least Significant Byte (LSB), which is the last byte of a file, needs to be read and loaded. The main issue with converting a file as a big number in radix 256 to another big number with a smaller radix is that you need to read the whole file, load it to the memory and build actually that big number from each byte of the file. What's wrong with the positional single number encoding?

Binary-to-text encoding