Question

convert the following brinary number to their equivalent decimal from. 1.110110101 .2.10101101.3.100100110​

Answer 1

1. 437

calculation steps:

(110110101)₂ = (1 × 2⁸) + (1 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = (437)₁₀

2. 173

calculation steps:

(10101101)₂ = (1 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = (173)₁₀

3. 294

(100100110)₂ = (1 × 2⁸) + (0 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰) = (294)₁₀