Question

11th, chapter -1
convert the following binary decimals to decimal equivalent
a) (1001.11)2
b) (1111.111)2
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Answer 1

Answer:

9.75 =   (1001.11)₂ = (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (1 × 2⁻²) = (9.75)₁₀

15.875= (1111.111)₂ = (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (1 × 2⁻²) + (1 × 2⁻³) = (15.875)₁₀

Explanation: