Architecture

ICT121

Tutor-Marked Assignment

TUTOR-MARKED ASSIGNMENT This tutor-marked assignment is worth 21% of the final mark for ICT121 Introduction to Computer Systems Architecture. The cut-off date for this assignment is 24 February 2015, 2359 hrs.

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Submit your solution document in the form of a single MS Word file on or before the cut-off date shown above.

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Question 1 (25 marks) A digital system uses 8-bit for integer representation and 16-bit for floating point number representation. Analyse the various number representations and answer the following questions. (a) Given A = 2A16 and B = 6E16. (i) If 8-bit sign-magnitude representation is used to represent integers, what is the range of decimal values it can represent? (2 marks) Express the value of A and the value of B in 8-bit binary if sign-magnitude representation is used for integers. (2 marks) Show how the digital system computes the logic operation A XOR (A OR B). Express the result in hexadecimal. (3 marks)

(ii)

(iii)

(b)

Given X = 5510 and Y = -6610. (i) Express the value of X and the value of Y in 8-bit binary if sign-magnitude representation is used for integers. (2 marks) Express the value of X and the value of Y in 8-bit binary if 2’s complement signed integer representation is used. (5 marks) Find the result of X + Y by performing the computation in 2’s complement arithmetic. Convert the result to decimal and show it is equal to -11. (4 marks)

(ii)

(iii)

(c)

The hexadecimal number A0FF represents a 16-bit floating point number. Its representation is given in Figure Q1(c). What is the decimal value? Show your working. (7 marks)

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Tutor-Marked Assignment – Page 2 of

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ICT121

Tutor-Marked Assignment

Bit 15 8 bits

Mantissa (M) is an unsigned fixed point fraction

8 7 8 bits...