a. Show that:
(A + B) (A + C) = A + BC and ascertain the proof using truth tables. (6 Marks)
b. Using an appropriate diagram briefly discuss memory hierarchy. (4 Marks)
c. Express the following memory capacities in bytes:
i. 2GB (1 Mark)
ii. 0.5TB (1 Mark)
iii. 500 Mega Bits (1 Mark)
d. Briefly explain the following:
i. Programmed I/O (2 Marks)
ii. I/O Processor (2 Marks)
e. Using an appropriate diagram, describe the instruction cycle. (3 Marks)
f. What do you understand by the term “bus” as used in computer systems? Identify the three types of
system buses in the CPU and briefly describe each of them. (3 Marks)
g. By using circuits, symbols and truth tables, distinguish an AND gate from an OR gate. (4 Marks)
h. Given the infix expression Z (A*B) + (W*Y)
i. Express the infix expression above in postfix notation; hence show the stack operations for the
processing of the expression. (2 Marks)
ii. Using two address instruction set architecture; use the requisite mnemonics to show the
processing of the above infix expression. (2 Marks)
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