hexadecimal equivalent of the decimal number 256 is [tex]100_{16}[/tex]
what is hexadecimal value?
- The hexadecimal number system is a type of number system, that has a base value equal to 16.
- It is also pronounced sometimes as 'hex'.
- Hexadecimal numbers are represented by only 16 symbols. These symbols or values are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. Each digit represents a decimal value
- the hexadecimal (also base 16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16
- Unlike the decimal system representing numbers using 10 symbols, hexadecimal uses 16 distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9, and "A"–"F" (or alternatively "a"–"f") to represent values from 10 to 15.
Step 1: Divide (256)10 successively by 16 until the quotient is 0:
[tex]\frac{256}{16}[/tex] = 16, remainder is 0
[tex]\frac{16}{16}[/tex] = 1, remainder is 0
[tex]\frac{1}{16}[/tex] = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 100. So, 100 is the hexadecimal equivalent of decimal number 256 .
hexadecimal equivalent of the decimal number 256 is [tex]100_{16}[/tex]
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