Complete the truth table in Fig. 1 for the Boolean statement P = NOT(A AND B)
.
A | B | P |
---|---|---|
0 | 0 | 1 |
0 | 1 | |
1 | 0 | |
1 | 1 | 0 |
Fig. 1
Tick (✓) one box to identify the correct logic diagram for P = NOT(A AND B)
.
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Complete the truth table in Fig. 1 for the Boolean statement P = NOT(A AND B)
.
A | B | P |
---|---|---|
0 | 0 | 1 |
0 | 1 | |
1 | 0 | |
1 | 1 | 0 |
Fig. 1
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Tick (✓) one box to identify the correct logic diagram for P = NOT(A AND B)
.
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Complete the truth table for the following logic gate.
A | B | Q |
---|---|---|
0 | 0 | 0 |
0 | 1 | 1 |
0 | ||
1 |
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State the number rows needed in a truth table for a Boolean expression with four inputs?
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What is the result of the Boolean expression A ∨ B when A = 0 and B = 1?
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Write the Boolean expression for a logic circuit with an AND gate followed by a NOT gate.
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A fast food restaurant offers half-price meals if the customer is a student or has a discount card.
The offer is not valid on Saturdays.
A computer system is used to identify whether the customer can have a half-price meal.
The table identifies the three inputs to the computer system:
Input | Value |
---|---|
A | Is a student |
B | Has a discount card |
C | The current day is Saturday |
The logic system P = (A OR B) AND NOT C is used
Complete the following logic diagram for P = (A OR B) AND NOT C by drawing one logic gate in each box.
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A truth table can be produced for this logic circuit.
Describe the purpose of a truth table.
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State how many rows (excluding any headings) would be required in a truth table for the logic expression:
P = (A OR B) AND NOT C
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Draw the logic diagram for the logic system P = A OR (B AND C)
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Complete the truth table for the logic system P = NOT (A OR B)
A | B | P |
---|---|---|
0 | 0 | 1 |
0 | 1 | |
1 | 0 | |
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The logic diagram below (Fig. 2) shows a system made up of two connected logic gates.
Label the names of the two gates on the diagram above
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Complete the truth table below to show the output from the logic system in part(a).
A | B | C |
---|---|---|
0 | 0 | |
0 | 1 | |
1 | 0 | |
1 | 1 |
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Draw the logic diagram represented by
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Draw the logic diagram represented by:
P =(A OR NOT B) AND (A OR C)
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Write the Boolean expression represented by the logic diagram below:
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Complete the truth table for the Boolean expression:
P = (A AND B) AND NOT C
A | B | C | P |
---|---|---|---|
0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 |
0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | |
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Given the logic circuit with inputs A, B, and C:
P = (A OR B) AND NOT C
State the outputs when A = 1, B = 0, and C = 1.
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