3(a)Floating Point Numbers Rounding ErrorsMedium3 marks
Numbers are stored in a computer system using binary floating-point representation with:
- 12 bits for the mantissa
- 4 bits for the exponent
- two’s complement form for both the mantissa and the exponent.
Calculate the denary value of the given normalised binary floating-point number. Show your working.
| Field | Bits |
|---|---|
| mantissa (12 bits) | 1 0 1 1 0 1 0 0 0 1 1 0 |
| exponent (4 bits) | 0 1 1 0 |
Show your working
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