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Hex to Binary Conversion - Binary to Hex Conversion

Convert hexadecimal numbers to binary numbers and vice versa

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Hexadecimal and binary numbers are two different numbering systems that are often used in computing and programming.

The Binary Number System

The binary number system, also known as base 2, consists of just two digits: 0 and 1. Each digit in a binary number is called a "bit." Because of its simplicity, the binary number system forms the basis for all digital data and computer processing. It is because of this numbering system that computers can operate and execute instructions.

The hexadecimal system, also known as hex or base 16, consists of sixteen digits: 0-9 and A-F, where A through F represent the values 10 through 15 respectively. This system is particularly useful because it is an efficient way to represent binary data. Each hexadecimal digit can represent exactly four binary bits, making hexadecimal numbers often used to present binary data in a more readable way.

Converting from hexadecimal to binary and vice versa is quite straightforward due to the direct relationship between the two systems. A single hexadecimal digit can be converted into a four-bit binary number, and four binary digits can be combined and converted into a single hexadecimal digit. This makes hexadecimal numbers particularly useful in the world of computers and programming, where it is often necessary to read or write binary data.

00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
A1010
B1011
C1100
D1101
E1110
F1111