Question #152078

The decimal equivalent of the binary number
101001.1011 is?
A 41.7875.
B 415875.
c 41.6875.
D 41.1875.

Expert's answer

(C) 41.6875.

calculations

(101001.1011)₂ = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (0 × 2⁻²) + (1 × 2⁻³) + (1 × 2⁻⁴) = (41.6875)₁₀


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