O-LevelComputer ScienceBoolean logic2210/12 · Oct/Nov 2016 · Q714 Marks

7 (a) Complete the truth tables and name the single logic gate that could replace each logic circuit: (i) [Figure 7.1] Single logic gate (ii) [Figure 7.2] Single logic gate (b) (i) Draw a logic circuit to represent the following logic statement: X = 1 if (A = 1 AND B = 1) OR ((B = NOT 1) AND C = 1) (ii) Complete the truth table for the logic statement in part (b)(i). A B C Working space X 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1

(a)(i)Complete the truth tables and name the single logic gate that could replace each logic circuit: [Figure 7.1] Single logic gate[3]
(a)(ii)Complete the truth tables and name the single logic gate that could replace each logic circuit: [Figure 7.2] Single logic gate[3]
(b)(i)Draw a logic circuit to represent the following logic statement: X = 1 if (A = 1 AND B = 1) OR ((B = NOT 1) AND C = 1)[4]
(b)(ii)Complete the truth table for the logic statement in part (b)(i). A B C Working space X 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1[4]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.

[3] (a)(i) 2 marks for 4 correct outputs, 1 mark for 2 correct outputs
1 mark for correct gate
Truth Table for (a)(i): A B X 0 0 0 0 1 0 1 0 0 1 1 1
AND gate
[3] (a)(ii) 2 marks for 4 correct outputs 1 mark for 2 correct outputs
1 mark for correct gate
Truth Table for (a)(ii): A B X 0 0 0 0 1 1 1 0 1 1 1 1
OR gate
[4] (b)(i) 1 mark per correct section.
Circuit: Input A and B into an AND gate. Input B into a NOT gate. Input C and (NOT B) into a second AND gate. The outputs of both AND gates go into an OR gate to produce X.
[4] (b)(ii) 4 marks for 8 correct outputs 3 marks for 6 correct outputs 2 marks for 4 correct outputs 1 mark for 2 correct outputs
Truth Table for (b)(i): A B C X 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1

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