SECTION III: 5. Choose the correct biased exponent (expressed in decimal) for th

Question

SECTION III: 5. Choose the correct biased exponent (expressed in decimal) for the following decimal number using the single precision (32-bit) representation for floating point numbers (IEEE-754) -14 a) 64 b) 130 c) 3 d) 8 e) none of these 6. Convert the following binary number (signed 32-bit floating point IEEE-754) into decimal 1100 0001 0100 0000 0000 0000 0000 0000 b) 200 -12 d) -24e) none of these

Explanation / Answer

5) -14 14 in binary is 1110 => 1.11 * 2^3 sign bit is 1 exp => 127 + 3 => 130 frac => 11000000000000000000000 biased exponent is 130 Answer: b) 130 6) 1100 0001 0100 0000 0000 0000 0000 0000 1 10000010 10000000000000000000000 sign bit is 1(-ve) exp => 130 (127 + 3) in decimal => -(1.1) * 2^3 => -(1100 in binary) 1100 0001 0100 0000 0000 0000 0000 0000 in decimal is -12 Answer: c

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