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HARDWARE · CONCEPT PRACTICE

Floating-point representation

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2025 Autumn · Subject A · Q1

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IEEE 754 binary32 uses a one-bit sign, eight-bit biased exponent and 23-bit fraction. Decode 01000001011000000000000000000000 using bias 127 and the normal-number formula.

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Source: 2025A_FE-A_Questions.pdf, PDF page 4. ID: 2025A-A-Q001. Explanation written for this textbook.

Original question · Q1
IEEE 754 binary32 uses a one-bit sign, eight-bit biased exponent and 23-bit fraction. Decode 01000001011000000000000000000000 using bias 127 and the normal-number formula.

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