Question

Convert binary to decimal (110011)2=(?)10 (101010)2=(?)10 (1111111)2=(?)10 (1000001)2=(?)10​

Answer 1

Answer:

1) 51

2) 42

3) 127

4) 65

exp

1). (110011)₂ = (1 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = (51)₁₀

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

3). (1111111)₂ = (1 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (127)₁₀

4). (1000001)₂ = (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (65)₁₀