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Question
You are given a circuit as shown in the figure, which consists of the NAND gate. Identify the logic operation carried out by the two. Write the truth table. Identify the gates equivalent to the tow circuit.
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Solution
`"Y"_1 = bar"A.A" = bar"A"`
`"Y"_2 = bar"B.B" = bar"B"`
`"Y" = bar("Y"_1."Y"_2) = overline(bar"A".bar"B") = overlineoverline(A) + overlineoverline(B) = "A" + "B"`
The equivalent gate is OR gate
Truth table
| A | B | Y1 | Y2 | Y |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 | 1 |
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