Hexadecimal to Binary Converter

Table of Contents

• How does hexadecimal to binary conversion work?
• Hexadecimal to binary conversion method
• Conversion process
• Example #1
• Example #2
• Hexadecimal to binary conversion table

How does hexadecimal to binary conversion work?

Converting numbers from hexadecimal to binary is straightforward due to the relationship between the two bases. Each hexadecimal digit represents exactly four bits, allowing for a simple and direct conversion. For example, the hexadecimal digit F translates to 1111 in binary.

Hexadecimal to binary conversion method

There is no specific mathematical formula for converting hexadecimal to binary, as each hexadecimal digit is independently converted to its binary equivalent. The key is to know the 4-bit binary representation of each hexadecimal digit.

Conversion process

1. Break down the hexadecimal number into its individual digits.
2. Convert each hexadecimal digit to its 4-bit binary equivalent using a reference table.
3. Concatenate all resulting binary groups to form the complete binary number.

Example #1

Convert A9 from hexadecimal to binary:

1. Split A9 into A and 9.
2. Convert A to 1010 and 9 to 1001.
3. Concatenate the results: A9 in hexadecimal is 10101001 in binary.

Example #2

Convert 1F3 from hexadecimal to binary:

1. Split 1F3 into 1, F, and 3.
2. Convert:
   1. 1 to 0001
   2. F to 1111
   3. 3 to 0011
3. Concatenate the results: 1F3 in hexadecimal is 000111110011 in binary.

Hexadecimal to binary conversion table