In mathematics and computing, the hexadecimal (also base 16 or hex) numeral system may be a positional numeral system that represents numbers employing a radix (base) of 16. Unlike the common way of representing numbers using 10 symbols, hexadecimal uses 16 distinct symbols, most frequently the symbols "0"–"9" to represent values 0 to 9, and "A"–"F" (or alternatively "a"–"f") to represent values 10 to fifteen .
Hexadecimal numerals are widely employed by computing system designers and programmers because they supply a human-friendly representation of binary-coded values. Each hexadecimal digit represents four bits (binary digits), also referred to as a nibble (or nybble), which is half a byte. for instance , one byte can have values starting from 00000000 to 11111111 in binary form, which may be conveniently represented as 00 to FF in hexadecimal. Hexadecimal Numbers have a base of 16 digits starting from 0 to F (i.e., 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A, B, C, D, E, F). A, B, C, D, E, F are equivalent single digits of 10, 11, 12, 13, 14, 15 respectively. Generally, it's expressed by subscript 16 or Hexa (H) or (h). Arithmetic Operations of Hexadecimal Numbers : Addition : We can perform additions of hexadecimal numbers, with the assistance of the table Subtraction Subtraction of hexadecimal numbers are often performed by using complement methods or just as decimal subtraction. The rule of straightforward hexadecimal subtraction is that the digit borrowed from the immediate higher place is counted as 16. Multiplication : In the multiplication of hexadecimal numbers, if the merchandise is a smaller amount than the radix of hexadecimal (i.e, 16), then we take it because the result, else divide it by radix of hexadecimal (i.e., 16) and take the rest because the LSB (least significant bit). The quotient is taken as carrying within the next significant figure . Using these rules, you'll make a table for hexadecimal multiplications. Division : Similarly, the division of hexadecimal numbers are often performed by following the principles of division of decimal numbers but the utmost allowed digit are going to be F(=15 in decimal). Arithmetic operations of decimal numbers are very fashionable and far easier. These operations also are performed as same in other number systems. Read: ASCII to EBCDIC
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