First slide

Logic gates

Question

Truth table for system of four NAND gates as shown in figure

Difficult

A
B
C
D

Solution

$\begin{array}{rcl} Output of the circuit is \\ Y & = & (\overset{}{((A) (\overset{}{AB})) ((B \overset{}{) AB})}) \\ = & A AB + B AB \\ = & AB (A + B) \\ = & (A + B) (A + B) \\ = & A B + A B \\ so option 3 is correct \end{array}$

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