How do you convert a hex number to decimal?

Multiply each hexadecimal digit by 16 raised to its positional index (0 for rightmost, 1 for second rightmost, etc.) and sum the results. Convert letters A-F to values 10-15 first.

What is hex 1A in decimal?

Hex 1A is equal to 26 in decimal. Calculation: (1 × 16¹) + (10 × 16⁰) = 16 + 10 = 26.

Mathematical Tutorial Updated July 2026

Hex to Decimal Converter — How to Convert Hex to Decimal

Learn how to calculate decimal values from base-16 hexadecimal numbers using positional powers of 16.

Try it: Hex to Decimal mini-calculator

Decimal Result: 47

Positional notation method.

Hexadecimal is a base-16 positional notation system. Each column value represents a power of 16, starting with 16⁰ on the far right and increasing as you move left.

Decimal = (d₀ × 16⁰) + (d₁ × 16¹) + (d₂ × 16²) + ...

For hex digits A-F, map them to their decimal equivalents: A=10, B=11, C=12, D=13, E=14, F=15.

Step-by-step example.

Convert the hex value 2F to decimal:

Identify digit values: 2 and F (F = 15).
Apply positional weights:
- Rightmost digit (F): 15 × 16⁰ = 15 × 1 = 15
- Next digit (2): 2 × 16¹ = 2 × 16 = 32
Sum the terms: 32 + 15 = 47.

Hex mapping reference

Hex	Decimal
A	10
B	11
C	12
D	13
E	14
F	15

Silo Navigation

Explore Other Popular Converters

Binary to Decimal Binary to Hex Binary to Octal Binary to ASCII Negative Binary to Decimal Decimal to Binary Decimal to Hex Decimal to Octal Hex to Binary Hex to Decimal Hex to Octal Hex to ASCII Octal to Binary Octal to Decimal Octal to Hex ASCII to Binary ASCII to Hex ASCII to Decimal Binary Cheat Sheets