Hexadecimal to Decimal Converter Formula

Understand the math behind the hexadecimal to decimal converter. Each variable explained with a worked example.

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Formulas Used

Decimal Value

decimal_val = h3*4096 + h2*256 + h1*16 + h0

Variables

VariableDescriptionDefault
h3Hex Digit 3 (4096s)0
h2Hex Digit 2 (256s)0
h1Hex Digit 1 (16s)15
h0Hex Digit 0 (1s)15

How It Works

How to Convert Hexadecimal to Decimal

Method

Hexadecimal (base-16) uses digits 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15). Enter the numeric value of each hex digit (0-15).

Decimal = d3×4096 + d2×256 + d1×16 + d0×1

For example, hex FF (enter 15, 15): 15×16 + 15×1 = 240 + 15 = 255.

Worked Example

Convert hex 00FF to decimal.

h3 = 0h2 = 0h1 = 15h0 = 15
  1. 010×4096 + 0×256 + 15×16 + 15×1
  2. 02= 0 + 0 + 240 + 15
  3. 03= 255

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