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6 marksComputer Architecture

CAPE Computer Science Unit 1 · 2012 · Paper 2 · Question 1(a)(ii)

A circuit has inputs x and y with output given by the Boolean function F = xy' + x'y.

Using only primary logic gates, design and draw the circuit for F.

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Other parts of this question

  1. 1(a)(i)Give the truth table of the circuit.[4 marks]
  2. 1(b)(i)Draw a clearly labelled block diagram of a 4-to-1 line multiplexer.[4 marks]
  3. 1(b)(ii)Explain how a multiplexer can be used for the described purpose and discuss how data from each sensor is transmitted through the alarm notification line.[6 marks]
  4. 1(c)(i)Showing all working, find the largest and smallest integers that can be stored in four bits when signed magnitude representation is used.[2 marks]
  5. 1(c)(ii)Consider a floating point representation with a 1-bit sign, 3-bit exponent, and 5-bit mantissa. Calculate the decimal equivalent of 101100011.[3 marks]

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