Binary to Hexadecimal Converter

Table of Contents

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

How does binary to hexadecimal conversion work?

Binary to hexadecimal conversion is based on grouping binary digits in groups of four, as each hexadecimal digit represents exactly four bits. This allows a direct translation between the two bases, simplifying the conversion process.

Binary to hexadecimal conversion method

There is no single mathematical formula for the conversion, but the process is carried out by grouping bits into blocks of four (starting from the right) and then converting each group to the corresponding hexadecimal digit. Each group of four bits can be interpreted as a decimal number, which is then represented by the corresponding hexadecimal symbol.

Conversion process

1. Divide the binary number into groups of four digits, starting from the right. If the number is not a multiple of four, add zeros to the left to complete the group.
2. Convert each group of four bits to the equivalent decimal value.
3. Translate the decimal number to the corresponding hexadecimal digit (for example, 10 in decimal is A in hexadecimal).
4. Combine all digits to obtain the final result in hexadecimal format.

Example #1

Suppose we want to convert the binary number 10110111 to hexadecimal.

1. We divide it into groups: 1011 0111.
2. Convert 1011 to B and 0111 to 7.
3. The hexadecimal result is B7.

Example #2

Convert 1110001111001101 to hexadecimal:

1. We divide it into groups: 1110 0011 1100 1101.
2. Convert each group:
   • 1110 is E
   • 0011 is 3
   • 1100 is C
   • 1101 is D
3. The result is E3CD.

Binary to hexadecimal conversion table