Question

Draw a network to realize the following by using only one AND gate and one OR gate

Y=ABCD+ABCE+ABCF

Answer 1

Explanations & Calculations

$\qquad\qquad \begin{aligned} \small Y&=\small \text{ABCD+ABCE+ABCF}\\ &=\small \text{ABC[D+E+F]}\\ &=\small \text{A.B.C.[D+E+F]}\\ &=\small \text{A.B.C.Z}\cdots(\text{Z=D+E+F}) \end{aligned}$

• There is no indication of a limit of the number of inputs per gate, therefore, the above algebraic expression can be represented by a single AND gate having inputs A, B, C and a collective input (D+E+F).
• That collective input is the output of an OR gate of 3 inputs.
• It can be illustrated as follows,