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Question
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 1.
Solution
Given:
Output
\[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\]
A = 1, B = 0, C = 1
\[X = 1 . ( \overline{{0 . 1)}} + 0 . ( \overline{{1 . 1)}} + 1 . ( \overline{{1 . 0)}}\]
\[ = 1 . \bar{0} + 0 . \bar{1} + 1 . \bar{0}\]
\[ = 1 . 1 + 0 . 0 + 1 . 1\]
\[ = 1 + 0 + 1\]
\[ = 1 + 1\]
\[ = 1\]
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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 |
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