Hexadecimal to Binary Converter

What is Hexadecimal to Binary Conversion?

Hexadecimal to binary conversion is the process of transforming a number from base 16 (hexadecimal) to base 2 (binary). This conversion is crucial in computer science and digital systems, where both hexadecimal and binary representations are commonly used.

Conversion Method

The conversion from hexadecimal to binary is straightforward because each hexadecimal digit corresponds to exactly four binary digits (bits). This relationship makes the conversion process simple and reversible.

Hexadecimal to Binary Mapping

Hex | Binary    Hex | Binary
----+---------  ----+---------
 0  | 0000       8  | 1000
 1  | 0001       9  | 1001
 2  | 0010       A  | 1010
 3  | 0011       B  | 1011
 4  | 0100       C  | 1100
 5  | 0101       D  | 1101
 6  | 0110       E  | 1110
 7  | 0111       F  | 1111

Conversion Steps

1. Split the hexadecimal number into individual digits.
2. Convert each hexadecimal digit to its 4-bit binary equivalent.
3. Concatenate the resulting binary groups in order.

Example

Let's convert the hexadecimal number 1A3 to binary:

1   A   3
↓   ↓   ↓
0001 1010 0011

Therefore, 1A3₁₆ = 000110100011₂

Advantages of Hex to Binary Conversion

• Facilitates direct representation of binary data in a more compact form.
• Essential in computer programming, especially when working with bitwise operations.
• Useful in digital design and hardware programming.