Question

What is base in number system?​

Answer 1

In a positional numeral system, the radix or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal/denary system (the most common system in use today) the radix (base number) is ten, because it uses the ten digits from 0 through 9.

Answer 2

In short, the Base number generally refers to the total amount of numbers in a particular number system.

For Example : $2_{10}$ is a number from the decimal system, and the decimal system contains of the number 0,1,2,3,4,5,6,7,8,9 --> that's a total of ten numbers. That is why there is 10 written as a subscript.

There are some confusing ones like base 16. There, the values in the system are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

Here A,B,C,D,E,F stand for 10,11,12,13,14 & 15

So in general, a base is the amount of values in the particular number system given.

Hope it helps.

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