show If the following identity is valid by using truth tables (xyz)' = x' y' z'...

Question

Question

show If the following identity is valid by using truth tables (xyz)' = x' y' z' , is this valid?

Answer 1

Answer #1

x	y	z	(xyz)'
F	F	F	T
F	F	T	T
F	T	F	T
F	T	T	T
T	F	F	T
T	F	T	T
T	T	F	T
T	T	T	F

x	y	z	x' y' z'
F	F	F	T
F	F	T	F
F	T	F	F
F	T	T	F
T	F	F	F
T	F	T	F
T	T	F	F
T	T	T	F

As the last columns of both truth tables are not same,

we can say that (xyz)' = x' y' z' is not valid.

Answer 2

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