Hex To Decimal Converter
Enter the hexadecimal value to convert to decimal or Decimal to Hexadecimal.
Hexadecimal:
Hexadecimal (Base-16) uses digits 0-9 and letters A-F. It is widely used in computing for memory addresses, color codes, and machine instructions.
Decimal:
Decimal (Base-10) is the standard number system used in everyday mathematics and commerce.
How to Convert Hexadecimal to Decimal — Formula:
Decimal = Σ(dᵢ × 16ⁱ) where dᵢ is the value of each hex digit (0-15) and i is its position from right.
Example: Hex 1A3F = (1×16³) + (10×16²) + (3×16¹) + (15×16⁰) = 4096 + 2560 + 48 + 15 = 6719.
Technical Details:
Hex digits: 0-9 = 0-9, A=10, B=11, C=12, D=13, E=14, F=15. One hex digit = 4 bits (nibble). Two hex digits = 1 byte (00-FF = 0-255). Common values: 0xFF = 255, 0x100 = 256, 0xFFFF = 65535.
Hex To Decimal Converter:
Convert hexadecimal numbers to decimal instantly. Each hex digit represents 4 binary bits, making it a compact representation for binary data.
Hexadecimal to Decimal: Positional Notation
Frequently Asked Questions
How do I convert Hexadecimal to Decimal?
Decimal = Σ(dᵢ × 16ⁱ) where dᵢ is the value of each hex digit (0-15) and i is its position from right.
What is the Hexadecimal number system?
Hexadecimal (Base-16) uses digits 0-9 and letters A-F. It is widely used in computing for memory addresses, color codes, and machine instructions.
What is the Decimal number system?
Decimal (Base-10) is the standard number system used in everyday mathematics and commerce.
Where is Hexadecimal to Decimal conversion used?
Hex digits: 0-9 = 0-9, A=10, B=11, C=12, D=13, E=14, F=15. One hex digit = 4 bits (nibble). Two hex digits = 1 byte (00-FF = 0-255). Common values: 0xFF = 255, 0x100 = 256, 0xFFFF = 65535.
Can I convert large hexadecimal numbers?
Yes. This converter handles numbers of any practical size. For very large numbers, the conversion is performed using arbitrary-precision arithmetic to ensure accuracy.