Which of the given number has its IEEE-754 32 bit floating point…

2015

Which of the given number has its IEEE-754 32 bit floating point representation as 0 10000000 110 0000 0000 0000 0000 0000

Answer: C. 3.5To convert the IEEE-754 32-bit floating point representation to decimal: 1. Sign bit is 0, so the number is positive. 2. Exponent bits are 10000000, which…

  1. A.

    2.5

  2. B.

    3.0

  3. C.

    3.5

  4. D.

    4.5

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Correct answer: C

To convert the IEEE-754 32-bit floating point representation to decimal: 1. Sign bit is 0, so the number is positive. 2. Exponent bits are 10000000, which equals 128 in decimal. Subtract the bias of 127 to get the actual exponent: 128 - 127 = 1. 3. Mantissa bits are 110..., representing 2^-1 + 2^-2 = 0.75. The significand is 1 + 0.75 = 1.75. 4. Calculate the value: 1.75 * 2^1 = 3.5.

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