Digital Logic

1:

The number of canonical expressions that can be developed over a 3-valued boolean algebra is

A.

8

B.

16

C.

32

D.

256

 

Answer : D

Explanation :

Canonical form=SOP or POS
No of min/MAX terms=23=8. 
Therefore, Canonical form will have 28 have  terms.
Zero term canonical forms=8C0=1. 
One term canonical forms=8C1=8. 
Two term canonical forms=8C2=28 
Similarly total number of canonical expressions=
8C0+8C1+8C2+8C3+8C4+8C5+8C6+8C7+8C8=256

Gagan Kumar said: (11:49pm on Sunday 12th November 2017)
(X Y(1 X))(X Z)(X Y)(X Z)X=YZ

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Option: A

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