please solve this problem
convert binary to decimal
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Solution.
Given binary number - (1101 1100)₂
⊕ We have to find out the decimal equivalent of the given number.
The decimal equivalent of (1101 1100)₂ will be,
= (1 × 2⁷) + (1 × 2⁶) + (0 × 2⁵) + (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (0 × 2⁰)
= 128 + 64 + 0 + 16 + 8 + 4 + 0 + 0
= (220)₁₀
So,
> (1101 1100)₂ = (220)₁₀
Answer.
- (1101 1100)₂ = (220)₁₀
Steps To Convert.
- Multiply each binary digit from the last with the successive powers of 2 (starting with 0) and add them up.
- Result obtained will be the decimal equivalent of the binary number.
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