Question

Convert the following binary numbers into decimal (show work) A) 100111 B) 1000001

Answer 1

Answer:

A) 100111

Decimal Number: 39

B) 1000001

Decimal Number: 65

Explanation:

weight of the positions from right to left are as 2⁰, 2¹, 2², 2³... and so on for the integer part

(100111)₂ = (1 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (39)₁₀

(1000001)₂ = (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (65)₁₀