Convert Hex to Binary - Fast & Accurate Hex ⇄ Binary Conversion Tool
Convert between hexadecimal and binary number systems with precision using standard mathematical conversion
Need a fast and accurate way to convert hex to binary or vice versa? Our Hex ⇄ Binary converter gives instant results. Enter the value and get precise answers anytime.
Why Users Love This Hex ⇄ Binary Converter
- Exact in design: Uses the correct formula for accurate results.
- Instant answers: Results update as you type or on one click.
- Clear display: Shows both exact and grouped values with adjustable digits.
- Two-way switch: Toggle between hex to binary and binary to hex.
- Works anywhere: Mobile and desktop friendly for programmers, students, and professionals.
How to Use Our Converter
- Enter the value.
- Choose direction: hex to binary or binary to hex.
- View instant results.
- Copy, share, or save the answer.
Hexadecimal (Hex)
The hexadecimal system (base-16) uses 16 symbols (0–9 and A–F). It is widely used in computing to represent binary data in a shorter, readable way. Each hex digit corresponds to a group of four binary digits.
Key Facts About Hexadecimal
- Exact value: Base-16 system.
- Relationship to other units: 1 hex digit = 4 binary digits.
- Common abbreviation: hex.
- Notation tips: Often written with prefix 0x or a subscript 16.
Binary (Bin)
The binary number system (base-2) uses only 0 and 1. Each digit is a bit, and 8 bits form a byte. Computers store all information—text, images, and programs—in binary format.
Key Facts About Binary
- Exact value: Smallest unit is 1 bit.
- Relationship to other units: 1 byte = 8 bits.
- Common abbreviation: bin.
- Notation tips: Often written with prefix 0b or subscript 2.
Hex to Binary Conversion Formula
Formula:
Binary value = Each hex digit converted into 4 binary bits
Hex to Binary Conversion Examples
Example 1: Convert Hex A to Binary
Step 1: Formula = Binary = Hex digit expanded
Step 2: Substitute = A = 101
Step 3: Result = 1010
Example 2: Convert Hex 3F to Binary
Step 1: Binary = Each hex digit written in 4 bits
Step 2: Substitute = 3 = 0011, F = 1111
Step 3: Result = 00111111
Example 3: Convert Hex 7B to Binary
Step 1: Binary = Each hex digit written in 4 bits
Step 2: Substitute = 7 = 0111, B = 1011
Step 3: Result = 01111011
Binary to Hex Conversion Formula
Formula:
Hex value = Binary digits grouped into 4 bits
Binary to Hex Conversion Examples
Example 1: Convert 1010 (binary) to hex
Step 1: Hex = Binary grouped in 4 bit
Step 2: Substitute = 1010 = A
Step 3: Result = A
Example 2: Convert 110101 (binary) to hex
Step 1: Hex = Group into 4 bits = 0011 0101
Step 2: Convert = 0011 = 3, 0101 = 5
Step 3: Result = 35
Example 3: Convert 11111111 (binary) to hex
Step 1: Group binary into 4 bits = 1111 1111
Step 2: Convert = F = 1111
Step 3: Result = FF
Applications of Hex and Binary Conversions
- Programming: Memory addressing and debugging.
- Networking: IP and MAC addresses often displayed in hex.
- Web Design: Color codes like #FF0000 use hex.
- Embedded Systems: Data storage and microcontroller instructions.
- Cryptography: Keys and hashes often represented in hexadecimal.
Quick Reference Table for Hex ⇄ Binary Conversion
Hex Value | Decimal Value | Binary Value | Notes |
1 | 1 | 0001 | Smallest non-zero |
A | 10 | 1010 | A in hex = 10 decimal |
F | 15 | 1111 | Largest single hex digit |
10 | 16 | 00010000 | Hex 10 = Decimal 16 |
1A | 26 | 00011010 | Mix of digits & letters |
3F | 63 | 00111111 | Common ASCII range |
40 | 64 | 01000000 | Round figure |
FF | 255 | 11111111 | 8-bit max value |
133 | 307 | 100110011 | Random example |
F0 | 240 | 11110000 | Bitwise operations |
Use our Hex ⇄ Binary Converter at Digital Calculator for fast, accurate, and reliable results in computing, programming, networking, and education.