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Data Representation · CAPE Computer Science Unit 1

23 past-paper questions on Data Representation, part of Computer Architecture and Organisation, from every CAPE Computer Science Unit 1 paper on Quelpr.

Practise Data Representation
  1. 1(d)(i)1 mark· CAPE Computer Science Unit 1 · 2009 · Paper 2Calculate the decimal equivalent of 00011011_2.
  2. 1(d)(ii)2 marks· CAPE Computer Science Unit 1 · 2009 · Paper 2Determine whether the result of 0111 + 1110 can be stored as a 4-bit binary number.
  3. 1(d)(iii)2 marks· CAPE Computer Science Unit 1 · 2009 · Paper 2Showing 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).
  4. 1(d)(iv)2 marks· CAPE Computer Science Unit 1 · 2009 · Paper 2Find the 4-bit two's complement representation of -5.
  5. 1(d)(i)1 mark· CAPE Computer Science Unit 1 · 2010 · Paper 2Calculate the decimal equivalent of 00101001_2.
  6. 1(d)(ii)2 marks· CAPE Computer Science Unit 1 · 2010 · Paper 2Determine if the result of 0110 + 0101 can be stored as a 4-bit binary number.
  7. 1(d)(iii)2 marks· CAPE Computer Science Unit 1 · 2010 · Paper 2Showing all working, find the largest and smallest integers that can be represented using 6 bits if signed magnitude is used (leftmost bit for sign, other bits for the integer itself).
  8. 1(d)(iv)2 marks· CAPE Computer Science Unit 1 · 2010 · Paper 2Find the 4-bit two's complement representation of -4.
  9. 1(e)2 marks· CAPE Computer Science Unit 1 · 2011 · Paper 2Find the 4-bit two's complement of -6.
  10. 1(f)3 marks· CAPE Computer Science Unit 1 · 2011 · Paper 2Given a floating point representation of 1-bit sign, 3-bit exponent, and 5-bit mantissa, calculate the decimal representation of 001000101, showing all working.
  11. 1(c)(i)2 marks· CAPE Computer Science Unit 1 · 2012 · Paper 2Showing all working, find the largest and smallest integers that can be stored in four bits when signed magnitude representation is used.
  12. 1(c)(ii)3 marks· CAPE Computer Science Unit 1 · 2012 · Paper 2Consider a floating point representation with a 1-bit sign, 3-bit exponent, and 5-bit mantissa. Calculate the decimal equivalent of 101100011.
  13. 1(b)(i)2 marks· CAPE Computer Science Unit 1 · 2013 · Paper 2Find the 4-bit signed magnitude representation of –5.
  14. 1(b)(ii)1 mark· CAPE Computer Science Unit 1 · 2013 · Paper 2Find the 4-bit one's complement representation of –5.
  15. 1(b)(iii)2 marks· CAPE Computer Science Unit 1 · 2013 · Paper 2Find the 4-bit two's complement representation of –5.
  16. 1(c)3 marks· CAPE Computer Science Unit 1 · 2013 · Paper 2A system represents decimal numbers using sign (S), mantissa (M) and exponent (E) with 1 bit for sign, 3 bits for exponent, and 4 bits for mantissa. Determine what decimal number is represented by: S = 1, E = 010, M =…
  17. 1(f)2 marks· CAPE Computer Science Unit 1 · 2014 · Paper 2Find the 4-bit two's complement of -7.
  18. 1(g)3 marks· CAPE Computer Science Unit 1 · 2014 · Paper 2Calculate the decimal representation of 001110110.
  19. 1(d)3 marks· CAPE Computer Science Unit 1 · 2015 · Paper 2Determine the decimal equivalent of the hexadecimal number 1A53, showing all working.
  20. 1(e)2 marks· CAPE Computer Science Unit 1 · 2015 · Paper 2Find the 8-bit two's complement of -21, showing all working.
  21. 1(f)3 marks· CAPE Computer Science Unit 1 · 2015 · Paper 2Given a floating-point format of 1-bit sign, 3-bit exponent, and 5-bit mantissa, calculate the decimal representation of 001101011, showing all working.
  22. 1(d)4 marks· CAPE Computer Science Unit 1 · 2016 · Paper 2Add the two 8-bit binary numbers stored in Register 1 (10010111) and Register 2 (11011000), showing all working, and explain what will be stored in 8-bit Register 3.
  23. 1(e)3 marks· CAPE Computer Science Unit 1 · 2016 · Paper 2Convert the decimal number 13.25 to binary, showing all working.

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