Question

The decimal equivalent of the product of 1011 and 1100 is

Answer 1

132

Step-by-step explanation:

We convert each number to base 10 (decimal) and multiply.

So 1011₂ = 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰

= 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1

= 8 + 0 + 2 + 1

= 11₁₀

1100₂ = 1 × 2³ + 1 × 2² + 0 × 2¹ + 0 × 2⁰

= 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1

= 8 + 4 + 0 + 0

= 12₁₀

So, 1011₂ × 1100₂ = 11₁₀ × 12₁₀ = 132₁₀

So, the decimal equivalent of the product of 1011 and 1100 is 132