# The number system with base 16 is called

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The number system with base 16 is called
1. Binary number system
2. Octal number system
4. Decimal number system

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• 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.

For example: N = An Bn + An − 1 Bn − 1 + . . . + A1 B1 + A0 B0 . . .

where, N = number, B = base, An = (n + 1)th digit in that base.

So, N = 1*161 + 1*160 = 1*16 + 1*1 =16 +1 = 17

The decimal number 11 is smaller than the hexadecimal number 11.

 Decimal Binary Hexadecimal 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F