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2 marksData Representation

CAPE Computer Science Unit 1 · 2009 · Paper 2 · Question 1(d)(iii)

Showing all working, find the largest and smallest integers that can be represented using 4-bit signed magnitude (with the leftmost bit as the sign bit).

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Other parts of this question

  1. 1(a)Draw the logic symbol and provide the corresponding truth table for THREE primary logic gates.[6 marks]
  2. 1(b)Using the primary logic gates from part (a), design and draw a circuit that implements the truth table of the exclusive-OR gate shown in Table 1.[6 marks]
  3. 1(c)Draw a clearly labelled block diagram of a 4 x 1 multiplexer having 4 inputs and 1 output.[6 marks]
  4. 1(d)(i)Calculate the decimal equivalent of 00011011_2.[1 mark]
  5. 1(d)(ii)Determine whether the result of 0111 + 1110 can be stored as a 4-bit binary number.[2 marks]
  6. 1(d)(iv)Find the 4-bit two's complement representation of -5.[2 marks]

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