Hex to Decimal

What is Hexadecimal Number System?

The hexadecimal system (hex) is a positional numeral system with base 16. It uses digits 0-9 and letters A-F to represent values from 0 to 15.

How to Convert Hex to Decimal?

To convert a hexadecimal number to decimal, each position is multiplied by the corresponding power of 16:

• A = 10 in decimal
• B = 11 in decimal
• C = 12 in decimal
• D = 13 in decimal
• E = 14 in decimal
• F = 15 in decimal

Conversion Examples

Here are some examples of hex to decimal conversion:

• FF hex = 15×16¹ + 15×16⁰ = 240 + 15 = 255 dec
• 3E8 hex = 3×16² + 14×16¹ + 8×16⁰ = 768 + 224 + 8 = 1,000 dec
• A0 hex = 10×16¹ + 0×16⁰ = 160 + 0 = 160 dec

Where is Hexadecimal Used?

The hex system is widely used in:

• Programming - for representing colors in web design (#FF0000 for red)
• Computer systems - for memory addressing and data representation
• Cryptography - for recording hashes and encryption keys
• Networking - in MAC addresses and IP configurations

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