(i) The same input signal is applied to both the (input) terminals of a given logic gate. If the output is the |
(a) same as the (common) input signal. |
(b) inverted with respect to the (common) input signal. |
Identify the logic gates involved and write their truth tables in each case. Also draw output wave forms corresponding to inputs of each gate. |
(ii) Write the truth tables for each of the combinations shown below. Also, identify the logic operations performed by them. |
Answer:
(i) Gate \[{{G}_{1}}\] is a NAND gate Gate \[{{G}_{2}}\] is an NOR gate. Gate \[{{G}_{3}}\] is a AND gate. (ii) Gate \[{{G}_{1}}\] is AND gate. Symbol Gate \[{{G}_{2}}\] is NOR gate. Symbol Gate \[{{G}_{3}}\] is OR gate. Symbol Or (i) (a) If same input is given to both input terminals and the output is same as the input, it can be an AND or OR gate. (b) If same input is given to the input terminals and output is inverted with respect to input, then it can be a NAND gate or NOR gate. (ii) (a) Truth table for this combination is This is an OR gate. Logic operation is \[Y=A+B\] (b) Truth table for this combination is This is an AND gate. Logic operation is \[Y=A\cdot B\]
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