Exam-style question
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Using an 8-bit mantissa with the binary point immediately after the sign bit and an 8-bit two's-complement exponent, which pair represents decimal 1.5?.
- A.Mantissa 01100000, exponent 00000001
- B.Mantissa 00110000, exponent 00000001
- C.Mantissa 01100000, exponent 00000010
- D.Mantissa 11000000, exponent 00000001
Model answer
What a good answer should say
- Mantissa 01100000, exponent 00000001
Explanation
Why this works
The mantissa 01100000 represents 0.1100000, which is 0.75. The exponent 00000001 is 1, so the value is 0.75 × 2^1 = 1.5.
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