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  • 02-04-2021
  • Computers and Technology
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The decimal equivalent of the product of 1011 and 1100 is

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  • 07-04-2021

Answer:

132

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

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