Question

Represent XYZ +Y‟Z+ X‟Z‟ using NAND gates only​

Answer 1

Answer:

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Answer 2

NAND gate is a universal logic gate. It gives the output false(0) when all inputs are true(1). It is the negation of AND gate.

Truth Table of NAND GATE

Input      Output

A    B    A NAND B

0    0         1

0    1          1

1     0         1              

1     1          0

Solving Given Equation

XYZ + Y''Z + X''Z''

XYZ + YZ + XZ          (Involution law : X'' = X)

YZ(X + 1) + XZ           (Distributive law : XY + XZ = X(Y + Z))

YZ.1+ XZ                    (Property of 1 : X + 1 = 1)

YZ + XZ                     (Property of 1 : X.1 = X)

Circuit diagram of SOP expression using NAND gate only

Change all the gates with NAND gate.