Context for question 3
Numbers are stored in a computer system using binary floating-point representation with:
- 10 bits for the mantissa
- 6 bits for the exponent
- two's complement form for both the mantissa and the exponent
May/June 2026 Paper 31
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3(a)Floating Point Numbers Rounding ErrorsMedium3 marks
Calculate the normalised binary floating-point representation of in this system. Show your working.
Working
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Mantissa (10 bits), then exponent (6 bits)
3(b)Floating Point Numbers Rounding ErrorsMedium3 marks
Calculate the denary value of the given normalised binary floating-point number. Show your working.
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 |
|---|
| 0 | 0 | 0 | 1 | 1 | 1 |
|---|
Working
0 words
Denary value