The logic diagram below (Fig - OCR - GCSE Computer Science - Question 3 - 2018 - Paper 1
Question 3
The logic diagram below (Fig. 2) shows a system made up of two connected logic gates.
A B
Q
(a)
(i) Label the names of the two gates on the diag... show full transcript
Worked Solution & Example Answer:The logic diagram below (Fig - OCR - GCSE Computer Science - Question 3 - 2018 - Paper 1
Step 1
Label the names of the two gates on the diagram above.
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Answer
The two gates in the logic diagram are:
AND gate (the first gate connected to A and B)
NOT gate (the second gate connected to the output of the AND gate, producing Q)
Step 2
Complete the truth table below to show the output from this logic system.
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Answer
To complete the truth table, we need to analyze the outputs based on the inputs A and B using the AND operation followed by the NOT operation. The outputs are determined as follows:
A
B
Q
0
0
1
0
1
0
1
0
1
1
1
0
Step 3
Draw the logic diagram represented by Q = A ∨ ¬B.
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Answer
The logic diagram for Q = A ∨ ¬B consists of:
An OR gate with two inputs: A and the output of a NOT gate.
The NOT gate takes B as its input and produces ¬B as output. This output is connected to one input of the OR gate, while A is connected to the other input.
