What is the differences between number systems and coding systems for data representations?

Answer 1

Coding system:

the symbolic arrangement of data or instructions in a computer program or the set of such instructions

he reason that "hex" and octal are popular in computing is that it's easy to translate to and from the binary system that computers really use. People use decimal primarily because they have ten fingers, but it's just not that convenient to switch back and forth from 10011010010 to 1234. It IS convenient to convert to 4D2 (hex) or 2322 (octal), however. Let's see how this is done. These are all called radix numbers because the method for figuring out how to represent the value (remember the rocks in a bag) is the same. The only real difference between them is the base that they use. binary - base 2

octal - base 8

decimal - base 10

hexadecimal - base 16 One thing that should be kept in mind is that the number system used to represent the value of the base above is actually expressed as a decimal, or base 10 number. That is, we don't normally say hexadecimal is base 10 in hex. We say it's base 16 in decimal. Any radix number is a sum of a series of powers of the base times a number from 0 to 1 less than the base. This is what it looks like as a formula: * Each position has a value (10 to the power 3, or 1000 is the value of a position). * Each symbol has a value. * Multiply the value of the symbol by the value of the position, then add. Let's see how this works with a real number ... say, decimal 7382. In decimal, 7382 means:

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