Question

Convert the following binary number system to decimal number system

a) 0111.110²
b) 1011.001²​

Answer 1

Answer:

a. (7.75)10

b. (11.125)10

Explanation:

0111.110)₂ = (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (1 × 2⁻²) + (0 × 2⁻³) = (7.75)₁₀

1011.001)₂ = (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) + (0 × 2⁻¹) + (0 × 2⁻²) + (1 × 2⁻³) = (11.125)₁₀