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Hexadecimal Calculator Perform hexadecimal arithmetic and bitwise operations with multi-base output.

Hexadecimal Calculator illustration
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Hexadecimal Calculator

Perform hexadecimal arithmetic and bitwise operations with multi-base output.

1

Select Operation

Choose arithmetic or bitwise operation.

2

Enter Hex Values

Type hexadecimal numbers (0-9, A-F). Prefix 0x is optional.

3

View Results

See the result in hex, decimal, binary, and octal.

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What Is Hexadecimal Calculator?

A hexadecimal calculator performs arithmetic and logical operations on base-16 numbers. Hexadecimal (hex) uses digits 0-9 and letters A-F (where A=10, B=11, ..., F=15). Hex is the preferred human-readable format for binary data because each hex digit maps to exactly 4 binary bits, making conversion straightforward. It is ubiquitous in programming (memory addresses, color codes like #FF5733, byte values), networking (MAC addresses, IPv6), and digital systems. This calculator supports addition, subtraction, multiplication, integer division, and bitwise operations (AND, OR, XOR), displaying results in all common bases.

Why Use Hexadecimal Calculator?

  • Full arithmetic and bitwise operations on hex values
  • Accepts input with or without 0x prefix
  • Real-time decimal conversion of hex inputs
  • Shows result in hex, decimal, binary, and octal
  • Essential for programming and networking tasks

Common Use Cases

Web Development

Calculate and manipulate CSS hex color codes for design work.

Low-Level Programming

Work with memory addresses, byte values, and register contents.

Debugging

Perform hex arithmetic when analyzing memory dumps or network packets.

Networking

Manipulate MAC addresses and IPv6 addresses in hexadecimal format.

Technical Guide

Hexadecimal (base-16) arithmetic follows the same principles as decimal arithmetic but with 16 digits (0-F). Addition carries when the sum exceeds F (15): F + 1 = 10 in hex. The calculator parses hex strings after stripping any 0x prefix, converts to JavaScript integers using parseInt(value, 16), performs the operation, and formats the result using toString(16). For bitwise operations, JavaScript uses 32-bit signed integers internally. Division performs integer truncation (Math.trunc) since hex is typically used for whole numbers in computing contexts. The tool validates input characters to ensure only valid hex digits (0-9, A-F, a-f) are used. Each hex digit maps to exactly 4 bits: 0=0000, 1=0001, ..., 9=1001, A=1010, ..., F=1111.

Tips & Best Practices

  • 1
    Each hex digit = exactly 4 binary bits (nibble)
  • 2
    FF in hex = 255 in decimal = 11111111 in binary
  • 3
    CSS colors use hex: #RRGGBB where each pair is 00-FF
  • 4
    The 0x prefix is optional — you can enter "FF" or "0xFF"
  • 5
    Hex is more compact than binary: 8 binary digits = 2 hex digits

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Frequently Asked Questions

Q What digits does hexadecimal use?
Hex uses 0-9 plus A-F: A=10, B=11, C=12, D=13, E=14, F=15. Both uppercase and lowercase letters are accepted.
Q Why is hex used in programming?
Hex is a compact way to represent binary data. Each hex digit = 4 bits, so a byte (8 bits) is just 2 hex digits. This makes it much more readable than binary.
Q How do I convert hex to decimal?
Multiply each digit by 16 raised to its position power (right to left, starting at 0). For example, 2F = 2×16¹ + 15×16⁰ = 32 + 15 = 47.
Q What is the 0x prefix?
The 0x prefix indicates that the following number is in hexadecimal format. It's used in many programming languages (C, JavaScript, Python) to avoid ambiguity.
Q How does hex relate to CSS colors?
#RRGGBB uses hex values 00-FF for red, green, and blue channels. #FF0000 is pure red, #00FF00 is green, #FFFFFF is white.

About This Tool

Hexadecimal Calculator is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.