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3 marksData Representation

CAPE Computer Science Unit 1 · 2015 · Paper 2 · Question 1(f)

Given a floating-point format of 1-bit sign, 3-bit exponent, and 5-bit mantissa, calculate the decimal representation of 001101011, showing all working.

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Other parts of this question

  1. 1(a)(i)Write down the truth table showing all possible input bit combinations and outputs for the alarm scenario.[8 marks]
  2. 1(a)(ii)Using only primary logic gates, design and draw the circuit for the alarm system.[4 marks]
  3. 1(b)Explain the meaning of the term 'demultiplexer'.[2 marks]
  4. 1(c)Draw a clearly labelled block diagram of a 3-to-8 line decoder.[3 marks]
  5. 1(d)Determine the decimal equivalent of the hexadecimal number 1A53, showing all working.[3 marks]
  6. 1(e)Find the 8-bit two's complement of -21, showing all working.[2 marks]

More practice: the rest of this paper · more Data Representation questions · all CAPE Computer Science Unit 1 past papers