Question:
The IEEE 754 single-precision floating-point representation of 0.375 is _______.
The IEEE 754 single-precision floating-point representation of 0.375 is _______.
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When converting to IEEE 754 format, first express the number in normalized scientific notation, then determine the sign, exponent, and fraction.
Updated On: Jun 16, 2025
- \( 0 0111100 10000000000000000000000 \)
- \( 0 0111101 10000000000000000000000 \)
- \( 0 0111101 11000000000000000000000 \)
- \( 0 0111100 11000000000000000000000 \)
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The Correct Option is D
Solution and Explanation
To represent 0.375 in IEEE 754 single-precision format, we first express 0.375 as \( 1.1 \times 2^{-2} \). The sign bit is 0 (since the number is positive), the exponent is \( -2 + 127 = 125 \), which is \( 01111101 \) in binary, and the fraction is \( 10000000000000000000000 \). Therefore, the correct IEEE 754 representation is option (4).
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