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Q.[FIGURE: A logic circuit made of three NOR gates only. Input A is connected to both inputs of the first NOR gate; input B is connected to both inputs of the second NOR gate. The outputs of these two NOR gates are fed as the two inputs of a third NOR gate, whose output is Y.] Write the truth table for the circuit given in the figure, consisting of NOR gates only.
Uttarakhand UbseUttarakhand Board Intermediate (Class 12) 2023Subjective· 3mImportance★★★★★est
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Start your 14-day free trial to unlock the full solution →Two NOR gates used as inverters (NOT A, NOT B) feeding a third NOR gate produce — an AND gate.
Each of the first two NOR gates has both its inputs tied together — to for the first gate and to for the second. A NOR gate with both inputs the same acts as a NOT gate: output , and similarly the second gate gives .
These two outputs, and , are fed into the third NOR gate:
By De Morgan's theorem, . So — this all-NOR circuit realizes the AND function.
Truth table:
| A | B | |||
|---|---|---|---|---|
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
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