May/June 2026 Paper 33

2026 · 11 questions · 26 parts · 75 marks

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6(a)(i)6(a)(ii)6(a)(iii)6(b)

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10(a)(i)10(a)(ii)10(b)

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5(a)Floating Point Numbers Rounding ErrorsHard4 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 normalised binary floating-point representation of

- 18.5625

in this system. Show your working.

Working

0 words

Mantissa (12 bits)

Exponent (4 bits)

5(b)Floating Point Numbers Rounding ErrorsMedium3 marks

Explain the problem that would occur if the two binary floating-point numbers representing the denary numbers 91.5 and 123.25 were added together and the result stored in the given system.

Answer

0 words