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(Solved): please help im confused on how to convert - One sign bit - \( k=5 \) exponent bits, so the bia ...
please help im confused on how to convert
- One sign bit - \( k=5 \) exponent bits, so the bias is 01111 (15 in decimal) - \( n=10 \) mantissa bits If rounding is necessary, you should round toward \( +\infty \). Enter "+infinity" or "-infinity" in the answer box if the answer is infinity. Decimal Floating-point \( 43 \frac{1}{32} \) \( -398 \frac{3}{4} \) \( -\frac{247}{2048} \) \( -\frac{3}{16348} \) Decimal Floating-point \( 43 \frac{1}{32} \) \[ \begin{array}{l} -398 \frac{3}{4} \\ -\frac{247}{2048} \end{array} \] \[ -\frac{3}{16348} \] 0010100010000000 \( 0.101010010010100 \) 1100110111000110 1001100001100110 \( 43 \frac{1}{32} \) Q1.2 3 Point \( -398 \frac{3}{4} \) Q1.3 3 Point \( -\frac{247}{2048} \)
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Answer: 1) 0.001953125 2) 8.1796875 3) -23.09375 Explanation: -------------- 1) 00101100000000000000 sign bit is 0(+ve) exponent bits are 010110 Converting 010110 to decimal 010110 => 0x2^5+1x2^4+0x2^3+1x2^2+1x2^1+0x2^0 => 0x32+1x16+0x8+1x4+1x2+0x1 =
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