Conversion of Hexadecimal to Decimal

Conversion of Hexadecimal to Decimal: The base number of Hexadecimal is 16. Therefore, for conversion from hexadecimal to decimal, in the case of integers, the decimal value is obtained by multiplying the unit number by 16⁰, the decimal number by 16¹, the hundredth digit by 16^2, and multiplying the product by the power of 16. In the case of fractions 16^-1, 16^-2, 16^-3… .. etc.

Conversion of Hexadecimal to Decimal

In the case of integers:

(B5D) = B × 16² + 5 × 16¹ + D × 16⁰
           = 11 × 256 + 5 × 16 + 13 × 1
           = 2816 + 80 + 13
           = 2909
           = (2909)₁₀

In the case of fractions:

(.48)₁₆ = 4 × 16^-1 + 8 × 16^-2
             = 4/16 + 8/256
             = 0.25 + 0.03125
             = (0.28125)₁₀

Example: 1.
(6F.3C) Convert 16 to decimal:
(6F.3C)₁₆ = 6 × 16¹ + F × 16° + 3 × 16^-l + C × 16^-2
                  = 6 × 16 + 15 × 1 + 3/16 + 12/256
                  = 96 + 15 + 0.1875 + 0.046875
                  = (111.234375)₁₀
So (6F.3 C)₁₆ = (111.234375)₁₀ (Answer).