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2025 FE (A & B) — Comprehensive Study Notes Practice Quiz

Test your knowledge of 2025 FE (A & B) — Comprehensive Study Notes with 11 practice questions. Get instant feedback and detailed explanations to identify gaps and improve your understanding.

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Question 1 of 110 answered

According to the IEEE-754 single-precision format where a 32-bit float value is given by

(-1)^S \times 2^{E-127} \times (1+F)

, what is the decimal equivalent of the 32-bit pattern

01000001011000000000000000000000

Incorrect

Correct answer: d

Sign bit $S=0$. Exponent bits = $10000010_2=130$, so $E-127=3$. Fraction $F=0.5+0.25=0.75$, so value = $2^3\times(1+0.75)=8\times1.75=14.0$.

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