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प्रश्न
An X-OR gate has following truth table:
| 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.
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उत्तर
X-OR gate can be realized by the combination of two NOT gates, two AND gates and one OR gate. According to the problem, the logic relation for the given truth table is
When `Y = barA * B + A * barB = Y_1 + Y_2`
`Y_1 = A * B` and `Y_2 = A * barB`
Y1 can be obtained as output of AND gate 1 for which one input is of A through NOT gate and another input is of B. Y2 can be obtained as the output of AND pate II for which one input is of A and the other input is of B through NOT gate.
Now Y can be obtained as output from OR gate, where Y1 and Y2 are inputs of OR gate.
Thus, the logic circuit of this relation is given below.
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संबंधित प्रश्न
The output of NOR gate is high, when _______.
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
Write the truth table for a NAND gate connected as given in the following figure.
Hence identify the exact logic operation carried out by this circuit
Give the truth table and circuit symbol for NAND gate
What will be the values of input A and B for the Boolean expression `overline ((A +B) .(A*B)) =1?`
Name the logic gate which generated high output when at least one input is high.
An AND gate can be prepared by repetitive use of
(a) NOT gate
(b) OR gate
(c) NAND gate
(d) NOR gate.
Show that \[AB + \overline {AB }\] is always 1.
(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 a diagram to show how NAND gates can be combined to obtain an OR gate. (Truth table is not, required)
Useful Constants and Relations:
| 1. | Charge of a proton | (e) | =1.6 × 10-19C |
| 2. | Planck's constant | (h) | = 6·6 × 10-34 Js |
| 3. | Mass of an electron | (m) | = 9·1× 10-31 kg |
| 4. | Permittivity of vacuum | (∈0) | =8 · 85 × 10-12 Fm-1 |
| 5. | `(1/(4pi∈_0))` | =9 ×109 mF-1 | |
| 6. | Permeability of vacuum | (μ0) | = 4π × 10-7 Hm-1 |
| 7. | `((mu_0)/(4pi))` | =1 × 10-7 Hm-1 | |
| 8. | Speed of light in vacuum | (c) | = 3× 108 ms-1 |
| 9. | Unified atomic mass unit | (u) |
= 931 MeV |
| 10. | Electron volt | (leV) | = 1.6 × 10-19 J |
With the help of a diagram, show how you can use several NAND gates to obtain an OR gate.
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 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.
NAND and NOR gates are called universal gates primarily because they ______.
A CE amplifier has a voltage gain 50, an input impedance of 1000 ohm 1 and an output impedance of 200 ohm. The power gain of the amplifier will be
Which logic gate is similar to a function of two series switches?
Two car garages have a common gate which needs to open automatically when a car enters either of the garages or cars enter both. Devise a circuit that resembles this situation using diodes for this situation.
Identify the logic operation carried out by the given circuit:
The given figure shows the waveforms for two inputs A and B and that for the output Y of a logic circuit. The logic circuit is ______.
