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प्रश्न
Write the truth table for circuit given in figure below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
(Hint: A = 0, B = 1 then A and B inputs of second NOR gate will be 0 and hence Y=1. Similarly work out the values of Y for other combinations of A and B. Compare with the truth table of OR, AND, NOT gates and find the correct one.)
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उत्तर
A and B are the inputs of the given circuit. The output of the first NOR gate is `bar(A +B)`. It can be observed from the following figure that the inputs of the second NOR gate become the out put of the first one.
Hence, the output of the combination is given as:
`Y = bar(bar("A+B") + bar("A+B")) = bar(bar("A").bar("B")) + bar(bar"A".bar"B")`
`= bar(bar"A".bar"B") = bar(bar"A") + bar(bar"B") = "A + B"`
The truth table for this operation is given as:
| A | B | Y (=A + B) |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
This is the truth table of an OR gate. Hence, this circuit functions as an OR gate.
संबंधित प्रश्न
Which logic gate corresponds to the truth table given below?
|
A |
B |
Y |
|
0 |
0 |
I |
|
0 |
1 |
0 |
|
1 |
0 |
0 |
|
1 |
1 |
0 |
The output of NOR gate is high, when _______.
The following figure shows the input waveforms (A, B) and the output waveform (Y) of a gate. Identify the gate, write its truth table and draw its logic symbol.
The logic gate which produces LOW output when one of the input is HIGH and produces
HIGH output only when all of its inputs are LOW is called _______.
(A) AND gate
(B) OR gate
(C) NOR gate
(D) NAND gate
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)
Identify the logic gate represented by the circuit as shown and write its truth table.
What will be the values of input A and B for the Boolean expression `overline ((A +B) .(A*B)) =1?`
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = B = C = 0.
Show that \[AB + \overline {AB }\] is always 1.
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Draw the truth table of a NOR gate.
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Useful Constants and Relations :
| 1. Speed of Light in Vacuum | (c) = 3.00 x 108 m/s |
| 2. Charge of a proton | (e) = 1.60 x 10-19C |
| 3. Planck's Constant | (h) = 6.6 x 10-34 Js |
| 4. Permeability of vacuum | (μ0) = 4π x 10-7 Hm-1 |
| 5. Electron Volt | (1eV ) = 1.6 x 10 |
| 6. Unified Atomic Mass Unit | (1u) = 931 MeV |
| (π) = 3.14 | |
| ( ln 2 ) = 0.693 |
You are given circuit as shown in the figure, which consists of NAND gate. Identify the logic operation carried out by the two. Write the truth table. Identify the gates equivalent to the tow circuits.
You are given a circuit as shown in the figure, which consists of the NAND gate. Identify the logic operation carried out by the two. Write the truth table. Identify the gates equivalent to the tow circuit.
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| A | B | Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
It is represented by following logic relation `Y = barA.B + A.barB`. Build this gate using AND, OR and NOT gates.
Identify the logic operation carried out by the given circuit:
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A logic circuit provides the output Y as per the following truth table:
| A | B | Y |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The expression for the output Y is:
