(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Convert each of the equations to an equivalent 2 - level implementation using t8/t8' distributivity theorems to get SOP/POS form. Simplify

F= Z((W'+Y+X')(W'+XY'Z))

G= ABC+D'(B+AC)(A'+C)'

2. Relevant equations

T8: x*(y+z)= x*y+x*z

T8': x+(y*z)=(x+y)*(x+z)

3. The attempt at a solution

I used T8' to take out w':

F=Z(W'+(X'+Y)(XY'Z))

=Z(W'+X'XY'Z+XYY'Z)

=Z(W'+0+0)

=Z*W

G= ABC+D'(B+AC)(A'+C)'

I distribute D' using T8:

ABC+(BD'+ACD')(A'D'+CD')'

but then do I continue as:

ABC+A'BD'D'+BC'D'D''+AA'CD'D'+ACC'D'D''

=ABC+A'BD'+BC'(0)+(0)CD'+A(0)(0)

=ABC+A'BD'+0+0 (x*x'=0; x*x=1; x*0=0)

=ABC+A'BD'

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# Homework Help: Boolean algeabra prblem using T8/T8' distributivity theorems

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