0
\$\begingroup\$

As part of an exercise, i have 4 inputs and 3 outputs F1,F2,F3. After minimizing with Karnaugh maps one of the inputs is eliminated and i get these 3 outputs:

F1= x'y'z'
F2= x'y z'+ x z
F3= x'z +x y + x y'z'

Can i make this any simpler or can i start implementing it with Logic gates? I want to use AND, OR, NOT gates of 2 inputs only and right now i am able to do it with about 15 gates.

\$\endgroup\$
1
  • \$\begingroup\$ Looks like 3 inputs 3 outputs; you can reduce 1 gate i.e. x' & z' use it in F1 and F2 ; or y' & z' use it both F1 and F3 \$\endgroup\$
    – rsg1710
    Nov 12, 2017 at 19:16

1 Answer 1

1
\$\begingroup\$

\$F3= \bar xz +x y + x \bar y \bar z\$

\$F3= \bar xz +x y (1 + \bar z) + x \bar y \bar z\$

\$F3= \bar xz + x y + x y\bar z + x \bar y \bar z\$

\$F3= \bar xz + x y + x\bar z (y + \bar y)\$

\$F3= \bar xz + x y + x\bar z\$

\$\endgroup\$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.