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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
Write the truth table for the combination of the gates shown. Name the gates used.
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(C) NOR gate
(D) NAND gate
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and D.
| A | B | C | D |
| 0 | 0 | ||
| 1 | 0 | ||
| 0 | 1 | ||
| 1 | 0 |
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 = 1, B = 0, C = 1.
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = B = C = 0.
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
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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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