Hexadecimal to Binary Conversion

Convert between Hexadecimal and Binary quickly and accurately.

hex
bin

How to Convert Hexadecimal to Binary

Conversion Formula

1 hex = 8 bin
1 bin = 0.125 hex

Example

Convert 15 hex to bin:

15 hex = 15 × 8 bin = 120 bin

Unit Information

Learn about the numbers units you're converting between

Hexadecimal

hex

Definition

Hexadecimal is a base-16 numeral system using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. It is widely used in computer science, programming, and digital systems.

History/Origin

Hexadecimal became important with the development of computers. It maps easily to binary (4 bits per hex digit) and is more compact than binary for representing large numbers.

Current Use

Hexadecimal is used extensively in computer programming, memory addresses, color codes (RGB), debugging, and digital systems.

Multiplier

16

Offset

0

Binary

bin

Definition

Binary is a base-2 numeral system using only digits 0 and 1. It is fundamental to computer science and digital electronics, representing data in the most basic form that computers can process.

History/Origin

Binary notation was developed by Gottfried Leibniz in the 17th century, though the concept dates back to ancient civilizations. It became essential with the advent of digital computers in the 20th century.

Current Use

Binary is used in computer programming, digital circuits, data storage systems, and all digital technology. It forms the foundation of how computers process and store information.

Multiplier

2

Offset

0

Hexadecimal to Binary Conversion Table

Hexadecimal [hex] Binary [bin]
1 hex 8 bin
10 hex 80 bin
25 hex 200 bin
50 hex 400 bin
100 hex 800 bin
0 hex 0E+0 bin
-10 hex -80 bin
-40 hex -320 bin