The number system with base 16 is calleda)Binary number systemb)Octal number systemc)Hexadecimal number systemd)Decimal number systemCorrect answer is option 'C'. Can you explain this answer? - EduRev Electrical Engineering (EE) Question

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The number system with base 16 is called

a)
Binary number system
b)
Octal number system
c)
Hexadecimal number system
d)
Decimal number system

Correct answer is option 'C'. Can you explain this answer?

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The number system with base 16 is calleda)Binary number systemb)Octal ...

Hexadecimal numbers are used extensively in microprocessor work.
The hexadecimal number system has a base of 16.
After reaching 9 in the hexadecimal system, we continue as A, B, C, D, E, F.
For converting a decimal number to a hexadecimal number, the number is successively divided by 16 with remainders occupying the successive positions from the right.

The procedure is exactly similar to the procedure for converting a decimal number to binary.

where, N = number, B = base, A_n = (n + 1)^th digit in that base.
Converting hexadecimal to the decimal.
Let hexadecimal number =11
So, N = 1*16¹ + 1*16⁰ = 1*16 + 1*1 =16 +1 = 17
The decimal number 11 is smaller than the hexadecimal number 11.

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