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प्रश्न
What will be the values of input A and B for the Boolean expression `overline ((A +B) .(A*B)) =1?`
उत्तर
The truth table for the Boolean expression `overline ((A +B) .(A*B)) = is:`
| A | B | (A+B) | (A,B) | (A+B).(A.B) | `overline ((A +B) .(A*B)) =1?` |
| 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 | 0 | 1 |
The output of this Boolean expression is 1 only when both the inputs A and B are 1.
The values of A should, therefore, be 1.
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संबंधित प्रश्न
Write the truth table for the combination of the gates shown. Name the gates used.
Identify the logic gates marked 'P' and 'Q' in the given circuit. Write the truth table for the combination.
You are given the two circuits as shown in following figure. Show that circuit
- acts as OR gate while the circuit
- acts as AND gate.
(a)
(b)
The arrangement given below represents a logic gate :
Copy the following truth table in your answer booklet and complete it showing outputs at C
and D.
| A | B | C | D |
| 0 | 0 | ||
| 1 | 0 | ||
| 0 | 1 | ||
| 1 | 0 |
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
(i) Write the truth tables of the logic gates marked P and Q in the given circuit.
(ii) Write the truth table for the circuit.
Draw the truth table of a NOR gate.
For the given circuit, the input digital signals are applied at terminals A, B, and C. What would be the output at terminal y?
Draw the output signals C1 and C2 in the given combination of gates (Figure).
Which one of the following is the Boolean expression for NOR gate?
