Hexadecimal to Decimal Converter

Hexadecimal

Hexadecimal number is a number expressed in the base 16 numeral system. Hexadecimal number's digits have 16 symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. Each digit of a hexadecimal number counts a power of 16.

Hexadecimal number example:
62C₁₆ = 6×16²+2×16¹+12×16⁰ = 1580₁₀

Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.

Decimal number example:
653₁₀ = 6×10²+5×10¹+3×10⁰

How to convert from hex to decimal

A regular decimal number is the sum of the digits multiplied with power of 10.

137 in base 10 is equal to each digit multiplied with its corresponding power of 10:

137₁₀ = 1×10²+3×10¹+7×10⁰ = 100+30+7

Hex numbers are read the same way, but each digit counts power of 16 instead of power of 10.

For hex number with n digits: d_n-1 ... d₃ d₂ d₁ d₀

Multiply each digit of the hex number with its corresponding power of 16 and sum:

decimal = d_n-1×16^n-1 + ... + d₃×16³ + d₂×16² + d₁×16¹+d₀×16⁰

Example #1

3B in base 16 is equal to each digit multiplied with its corresponding 16ⁿ:

3B₁₆ = 3×16¹+11×16⁰ = 48+11 = 59₁₀

Example #2

E7A9 in base 16 is equal to each digit multiplied with its corresponding 16ⁿ:

E7A9₁₆ = 14×16³+7×16²+10×16¹+9×16⁰ = 57344+1792+160+9 = 59305₁₀

Example #3

0.8 in base 16:

0.8₁₆ = 0×16⁰+8×16^-1 = 0+0.5 = 0.5₁₀