Answer
a. 11.11 - (3.75)₁₀
b. 100.0101 - (4.3125)₁₀
c. 0.1101 - (0.8125)₁₀
d. 1.0 - (1)₁₀
e. 10.01 - (2.25)₁₀
Work Step by Step
(a) (11.11)₂ = (1 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (1 × 2⁻²) = (3.75)₁₀
(b) (100.0101)₂ = (1 × 2²) + (0 × 2¹) + (0 × 2⁰) + (0 × 2⁻¹) + (1 × 2⁻²) + (0 × 2⁻³) + (1 × 2⁻⁴) = (4.3125)₁₀
(c) $0.1101_2$=1×0.5+1×0.25+0×0.125+1×0.0625
=0.5+0.25+0.0625=0.8125
(d) (1.0)₂ = (1 × 2⁰) + (0 × 2⁻¹) = (1)₁₀
(e) (10.01)₂ = (1 × 2¹) + (0 × 2⁰) + (0 × 2⁻¹) + (1 × 2⁻²) = (2.25)₁₀
