What number is the base of the number system?

Answer 1

1. Well, the number 10 is the base of the base 10 number system. The number 12 is the base of the base 12 number system.

2. I don't think the above expresses the answer quite accurately. The base ten numbering system (which is what we use in everyday life, because we have ten fingers, and which is called the decimal system) is restricted to ten integers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The integers of a base "twelve" numbering system could be represented by these ten integers plus two more, which we could call A and B (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B) So in a base "twelve" system the number we write as "12" in the decimal system would be written as "10", "23" would be written as "1B". The easiest way to understand this is to write the base ten numbers in a row and the equivalent base twelve numbers in a row immediately below. Base sixteen numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F) (hexadecimal) are commonly used in computing applications. -

3. Base of number system define how many digits it uses in that number system. As illustrated below Binary numbers as the name suggest uses only two digits which are 0 and 1. combination of 0's and 1's are used for representing other numbers. this system is used to communicate with machine so machine understandable language is known as machine language. Similarly in Octal number system 8(octal) digits starting from 0 thru 7 like wise decimal(=10) system 0 thru 9 hexadecimal(=16) 0 thru 9 and A thru F to constitute 16 digits. -