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प्रश्न
Write the truth table for the circuit shown in figure. Name the gate that the circuit resembles.
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उत्तर
This is ‘AND’ Gate and its characteristics are as follows:
(1) It has two inputs (A and B) and only one output (Y).
(2) Boolean expression us Y = A·B is read as "Y equals A AND B".
(3) Realization of AND gate
Logical symbol of AND gate
(i) A = 0, 8 = 0
The voltage supply through R is forward biasing diodes D1 and D2 (offers low resistance), the voltage V would drop across R. The output voltage at Y = the voltage across diode = 0
(ii) A = 0, B = 1
D1 = Conducts, D2 = Not Conducts
The out voltage at Y = The voltage across the diode (D1) = 0
(iii) A = 1, B = 0
D1 = Conducts, D2 = Not conducts
The out voltage at Y = The voltage across the diode (D2) = 0
(iv) A = 1, B = 1
None of the diode conducts
The out voltage at Y = Battery voltage = 1
(4) Truth table for ‘AND’ gate
| A | B | V0 = A · B |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
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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 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)
You are given two circuits as shown in following figure, which consist of NAND gates. Identify the logic operation carried out by the two circuits.
(a)
(b)
Draw the schematic symbols for AND, OR, NOT and NAND gate
Give the truth table and circuit symbol for NAND gate
You are given a circuit below. Write its truth table. Hence, identify the logic operation carried out by this circuit. Draw the logic symbol of the gate it corresponds to.
The output of an OR gate is connected to both the inputs of a NAND gate Draw the logic circuit of this combinaion of getes and write its truth table.
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 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.
Show the variation of voltage with time, for a digital signal.
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 |
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