Skip to main content

Convert (BD.1A)₁₆ to decimal

Short answer

B=11, D=13, 1=1, A=10. Value = 11×16 + 13 + 1/16 + 10/256 = 176+13+0.0625+0.0390625 = 189.1015625. Result: (189.1015625)₁₀.

Convert (BD.1A)₁₆ = (?)₁₀.

(BD.1A)16=11×16+13×1+1×16−1+10×16−2=176+13+0.0625+0.0390625=189.1015625\begin{aligned} (BD.1A)_{16} &= 11\times16 + 13\times1 + 1\times16^{-1} + 10\times16^{-2} \\ &= 176 + 13 + 0.0625 + 0.0390625 \\ &= 189.1015625 \end{aligned}

Answer: (BD.1A)16=(189.1015625)10(BD.1A)_{16} = (189.1015625)_{10}

✓ Answer checked by Claude Opus 5.5 (high effort)

Related questions

All Digital Logic chapter 1 questions →