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Convert (101101.011)₂ to decimal

Short answer

Add powers of two for each 1: 32+8+4+1+0.25+0.125 = 45.375. Result is (45.375)₁₀.

Convert (101101.011)₂ = (?)₁₀.

(101101.011)2=25+23+22+20+2−2+2−3=32+8+4+1+0.25+0.125=45.375\begin{aligned} (101101.011)_2 &= 2^5 + 2^3 + 2^2 + 2^0 + 2^{-2} + 2^{-3} \\ &= 32 + 8 + 4 + 1 + 0.25 + 0.125 \\ &= 45.375 \end{aligned}

Answer: (101101.011)2=(45.375)10(101101.011)_2 = (45.375)_{10}

✓ Answer checked by Claude Opus 5.5 (high effort)

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