Write the Boolean expression for the output of a circuit with inputs A and B: an AND gate followed by a NOT gate — JEE Physics
Write the Boolean expression for the output of a circuit with inputs $A$ and $B$: an AND gate followed by a NOT gate (NAND), and simplify using De Morgan's theorem.
1 Answer
AKAditya Kumar
✓ Accepted
· 2mo ago
▲ 31
$$Y = \overline{A \cdot B}$$
By De Morgan's theorem:
$$Y = \bar{A} + \bar{B}$$
This means: NAND is equivalent to OR of inverted inputs.
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Discussion (4)
A
Tip for others: you can verify the answer quickly by checking the units.
N
This finally made it click for me — thank you!
M
I solved it a slightly different way and got the same answer, good sign.
VA
Great discussion here. If you want more practice on this concept, check the related questions in this category.