Editing Binary number (section)

===Hexadecimal===
{{Main|Hexadecimal}}
{{Hexadecimal table}}
Binary may be converted to and from hexadecimal more easily. This is because the [[radix]] of the hexadecimal system (16) is a power of the radix of the binary system (2). More specifically, 16 = 2<sup>4</sup>, so it takes four digits of binary to represent one digit of hexadecimal, as shown in the adjacent table.

To convert a hexadecimal number into its binary equivalent, simply substitute the corresponding binary digits:

:3A<sub>16</sub> = 0011 1010<sub>2</sub>
:E7<sub>16</sub> = 1110 0111<sub>2</sub>

To convert a binary number into its hexadecimal equivalent, divide it into groups of four bits. If the number of bits isn't a multiple of four, simply insert extra '''0''' bits at the left (called [[Padding (cryptography)#Bit padding|padding]]). For example:

:1010010<sub>2</sub> = 0101 0010 grouped with padding = 52<sub>16</sub>
:11011101<sub>2</sub> = 1101 1101 grouped = DD<sub>16</sub>

To convert a hexadecimal number into its decimal equivalent, multiply the decimal equivalent of each hexadecimal digit by the corresponding power of 16 and add the resulting values:

:C0E7<sub>16</sub> = (12 × 16<sup>3</sup>) + (0 × 16<sup>2</sup>) + (14 × 16<sup>1</sup>) + (7 × 16<sup>0</sup>) = (12 × 4096) + (0 × 256) + (14 × 16) + (7 × 1) = 49,383<sub>10</sub>