Numbers are stored in two different computer systems by using floating-point representation. System 1 uses: - 10 bits for the mantissa - 6 bits for the exponent - two’s complement form for both the mantissa and the exponent. System 2 uses: - 8 bits for the mantissa - 8 bits for the exponent - two’s complement form for both the mantissa and the exponent. (a) Calculate the normalised floating-point representation of 113.75 and show how it would be represented in each of these…

Computer Science 9618/31 — May/June 2023

Cambridge A-Level · Advanced Theory · worked solutions for every part, with the mark scheme

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Topics Data Representation · Hardware and Virtual Machines · Computational Thinking and Problem-solving · Artificial Intelligence (AI) · Communication and Internet Technologies · System Software · +2 more

Q1Data RepresentationFree sample

Numbers are stored in two different computer systems by using floating-point representation.

System 1 uses:

10 bits for the mantissa
6 bits for the exponent
two’s complement form for both the mantissa and the exponent.

System 2 uses:

8 bits for the mantissa
8 bits for the exponent
two’s complement form for both the mantissa and the exponent.

(a)

Calculate the normalised floating-point representation of 113.75 and show how it would be represented in each of these two systems.

Show your working.

System 1

Mantissa										Exponent

System 2

Mantissa								Exponent

Working .....................................................................................................................................
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(b)

Explain the problem that occurred in part (a) when representing the number in system 2.

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11 more questions

Q2Artificial Intelligence (AI)6M
Q3Data Representation6M
Q4Data Representation4M
Q5Communication and Internet Technologies6M
Q6System Software8M
Q7Hardware and Virtual Machines7M
Q8Hardware and Virtual Machines3M
Q9Security6M
Q10Further Programming5M
Q11Computational Thinking and Problem-solving11M
Q12Computational Thinking and Problem-solving7M

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