A-LevelComputer ScienceHardware9618/32 · Oct/Nov 2023 · Q75 Marks
This logic circuit represents the Boolean expression: X = A + B + C [Figure X.X]
- (a)Complete this truth table for the given logic circuit. [Figure X.X][1]
- (b)Apply De Morgan's laws to the expression: X = A + B + C X =[1]
- (c)Simplify the following expression using Boolean algebra. Show all the stages in your simplification. T = Χ.Υ.Ζ + Χ.Y.Z + X[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] A B C X 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0
- [1] X= A.B.C
- [1] (T=) Χ.Z.(Y + Y) + X (Distributive law)
- [1] (T=) Χ.Z.(1) + X (Complement law)
- [1] (T=) Χ.Z + X (Identity law)
- [1] (T=) Χ + Z (Redundancy law (to get final answer))
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