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The maximum number of boolean expressions that can be formed for the function f(x,y,z) satisfying the relation  f(x',y,z')=f(x,y,z) is _____________
asked in Digital Logic by Veteran (64.8k points) 35 220 622 | 33 views
is 16 answer?

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" f(x',y,z')=f(x,y,z) " It says for the function value of x',y,z' and x,y,z will be same.
suppose x',y,z' = (1,0,1) then x,y,z = (0,0,0) i,e function value at f(1,0,1) = f(0,0,0) = either 0 or 1.. Lets make all such pairs
 

x y z f
0
1
0
0
0
1
2 possible value i.e either 0 or 1
0
1
0
0
1
0
2 possible value i.e either 0 or 1
0
1
1
1
0
1
2 possible value i.e either 0 or 1
0
1
1
1
1
0
2 possible value i.e either 0 or 1

so maximum number of boolean expression that can be form = 2 x 2 x 2 x 2 = 16

answered by Boss (6.4k points) 3 11 31

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