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प्रश्न
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
उत्तर
\[X = A \overline{{BC}} + B \overline{{CA}}\]
\[ = A( \overline{B} + \overline{C}) + B( \overline{C} + \bar{A})\]
\[ = A \overline{B} + A \overline{C} + B \overline{C} + B \overline{A}\]
\[ = A \overline{B} + \overline{C}(A + B) + B \overline{A}\]
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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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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 |
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