Question

What is the correct answer by converting the following binary numbers to decimal numbers?
A 10111 2 B 11111 2 C 1100111 2 D 101010 2 E 1110000 2

Answer 1

Answer:

A) 10111

Ans: 23

Steps: (10111)₂ = (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (23)₁₀

B) 11111

Ans: 31

Steps: (11111)₂ = (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (31)₁₀

C) 1100111

Ans: 103

Steps: (1100111)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (103)₁₀

D) 101010

Ans: 42

Steps: (101010)₂ = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = (42)₁₀

E) 1110000

Ans: 112

Steps: (1110000)₂ = (1 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (0 × 2⁰) = (112)₁₀

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