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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, An = (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.
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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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?
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