Hexadecimal to Binary Converter

Hexadecimal to Binary Converter – Online Tool by AiCalculator.in

Computers don’t understand hexadecimal – they speak in binary. That’s why converting between these number systems is important in computing and electronics. Whether working with memory addresses, colour codes, or machine-level programming, you’ll often need to translate hexadecimal (base-16) numbers into binary (base-2).

Our free Hexadecimal to Binary Converter at AiCalculator.in makes this conversion instant and accurate. No more manual calculations or lookup tables – just enter your hex value and get the binary equivalent in milliseconds.

Understanding Number Systems

Hexadecimal System (Base-16)

• Uses digits 0-9 and letters A-F
• A = 10, B = 11, …, F = 15
• More compact than binary (1 hex digit = 4 binary digits)
• Commonly used in:
  • Programming (memory addresses)
  • Web design (colour codes like #FF0000)
  • Digital electronics

Binary System (Base-2)

• Only uses 0 and 1
• Fundamental language of computers
• Each digit represents a power of 2
• Longer to write than hexadecimal equivalents

Why Convert Between the Hexadecimal System and to Binary System?

• Debugging low-level code
• Understanding hardware operations
• Working with memory addresses
• Analysing network protocols
• Digital circuit design

Manual Conversion Method

Each hexadecimal digit corresponds to exactly 4 binary digits:

1. Break the hex number into individual digits
2. Convert each digit to its 4-bit binary equivalent
3. Combine all the binary digits

Example: Convert A3 to binary

• A = 1010
• 3 = 0011
• Combined: 10100011

Conversion Table

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

Problems with Manual Conversion

• Time-consuming for long numbers
• Prone to human error
• Requires memorisation or reference tables
• Difficult with very large values

Why Use Our Online Hexadecimal to Binary Converter?

AiCalculator.in’s Hexadecimal to Binary Converter offers:

• Instant results – no waiting
• 100% accurate – eliminates human error
• Handles any length – works with massive numbers
• Clean interface – simple and intuitive
• Mobile-friendly – works on all devices
• Free to use – no registration required

Key Features

• One-click conversion
• Copy results to clipboard
• Error detection for invalid inputs
• Example conversions for learning
• Bidirectional conversion (hex ↔ binary)

Practical Applications

1. Programming
   • Debugging memory dumps
   • Working with bitmasks and flags
2. Networking
   • Analysing protocol headers
   • Working with MAC addresses
3. Digital Electronics
   • Microcontroller programming
   • FPGA configuration
4. Cryptography
   • Analysing hash values
   • Encryption/decryption processes

How to Use Our Hexadecimal to Binary Converter:

1. Visit AiCalculator.in
2. Search for Hexadecimal to Binary Converter
3. Select the Hexadecimal to Binary tool
4. Enter your hex number
5. Click “Convert”
6. View, copy, or share your result

Example Conversions

Hexadecimal	Binary Equivalent
A	1010
1F	00011111
FF	11111111
DEAD	1101111010101101

Frequently Asked Questions

Converting between hexadecimal and binary is essential for low-level computing tasks. While you can do it manually, our online converter saves time and ensures accuracy.

Try the free Hexadecimal to Binary Converter at AiCalculator.in today for all your number system conversion needs!