(a) Numbers are stored in a computer using floating-point representation with: - 12 bits for the mantissa - 4 bits for the exponent - two’s complement form for both the mantissa and exponent. (i) Write the normalised floating-point representation of the following unsigned binary number using this system. $1011100.011001$ Working .............................................................................................................................…

Computer Science 9618/32 — October/November 2021

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

questions

marks

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Topics Data Representation · Further Programming · System Software · Communication and Internet Technologies · Hardware and Virtual Machines · Security · +2 more

Q1Data RepresentationFree sample

(a)

Numbers are stored in a computer using floating-point representation with:

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

(i)

Write the normalised floating-point representation of the following unsigned binary number using this system.

$1011100.011001$

Working .............................................................................................................................

...........................................................................................................................................

Mantissa	Exponent

(ii)

State the consequence of storing the binary number in part (a)(i) as a floating-point number in this system. Justify your answer.

Consequence ....................................................................................................................

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Justification .......................................................................................................................

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(b)

Explain the reason why binary numbers are stored in normalised form.

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The rest of this paper

9 more questions

Q2Further Programming4M
Q3Data Representation4M
Q4System Software7M
Q5Data Representation6M
Q6Communication and Internet Technologies8M
Q7Hardware and Virtual Machines10M
Q8Security6M
Q9Artificial Intelligence (AI)10M
Q10Computational Thinking and Problem-solving13M

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