Hex Calculator

Hexadecimal (base-16) is everywhere in programming — HTML color codes, memory addresses, error codes, and more. This calculator handles hex arithmetic and converts between hex, decimal, binary, and octal instantly.

How to Use This Calculator

1. Enter hexadecimal values using digits 0–9 and A–F (case-insensitive).
2. Select the operation: +, −, ×, ÷, bitwise AND, OR, XOR.
3. Click Calculate for the hex result and decimal equivalent.
4. Use the conversion tool to convert any value between hex, decimal, binary, and octal.

Hexadecimal Basics

Hex uses 16 symbols: 0–9 and A (10), B (11), C (12), D (13), E (14), F (15).

Hex 2F = (2 × 16¹) + (F × 16⁰) = 32 + 15 = 47 in decimal

Decimal to Hex Conversion

Divide by 16, record remainders bottom-to-top:

255 ÷ 16 = 15 R15 (F) | 15 ÷ 16 = 0 R15 (F) → 255 = FF in hex

This is why #FFFFFF is white (max red, green, blue) and #000000 is black in HTML color codes.

Hex in Programming

• HTML/CSS colors: #RGB or #RRGGBB (e.g., #FF5733 = orange-red)
• Memory addresses: 0x7FFE3C1A (C/C++ hexadecimal notation)
• Error codes: 0x80070005 (Windows access denied error)
• ASCII/Unicode: 0x41 = 65 = "A" in ASCII

Common Mistakes to Avoid

• Treating hex letters as values without conversion — FA in hex ≠ 15 and 1 concatenated. F = 15, A = 10, so FA = (15×16) + 10 = 250.
• Forgetting the 0x prefix in code — In most programming languages, hex values need a prefix: 0xFF in C/Java, 0xFF in Python, &HFF in VBA.
• Not recognizing hex in disguise — Color codes like #1A2B3C and UUIDs like 550e8400-e29b-41d4-a716-446655440000 are all hexadecimal.

Frequently Asked Questions

Why do programmers use hex instead of binary?

Binary is verbose — 255 in binary is 11111111 (8 digits). In hex, it's just FF (2 digits). One hex digit always represents exactly 4 binary bits (a nibble), making conversion between them easy.

What does 0xFF mean?

0x is the common prefix indicating hexadecimal. FF = 15 × 16 + 15 = 255 in decimal. In 8-bit unsigned integers, 0xFF is the maximum value.

How do I convert RGB to hex?

Convert each R, G, B value (0–255) to hex separately. R=255, G=87, B=51 → FF 57 33 → #FF5733. Use our hex calculator for instant conversion.

Conclusion

Hex is the lingua franca of low-level computing, color design, and memory management. Use this calculator whenever you encounter hex values that need arithmetic or conversion — it's faster and error-free.

Related: Binary Calculator | Big Number Calculator | Scientific Notation Calculator