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4. Logic diagrams are shows the wiring and connections of each individual logic gate that implements the circuit.

a. Create a truth table according to FIGURE 1.
[4 marks]

A B AB A’ X=AB+A’
0 0 0 1 1
0 1 0 1 1
1 0 0 0 0
1 1 1 0 1

b. Boolean expressions can compare data of any type as long as both parts of the expression have
the same basic data type. State the output according to the input value given.
A = 1, B = 0 and C = 1
i. A’.B + C’(A+B)’
[1 mark]
0

ii. A+B’.A+C
[1 mark]
1
c. Draw a logic circuit based on the given expressions:

̅̅̅̅̅̅̅̅̅̅̅
( + ) . A
[3 marks]

C

B Y

A

@bm1920