0

so I have this expression and I have to simplify it to minimum SoPs

$(x+(y'(z+w)')')'$

so my final answer is $x'y'z'w'$

but I think there is something wrong or trick can some one help me or tell me if my answer is right or wrong .

thank you

Marconius
  • 5,635
D.k
  • 1

1 Answers1

1

Your answer is correct. Using DeMorgan's theorem:

$$(X + (Y^{'} \cdot (Z + W)^{'})^{'})^{'} $$

$$= (X + (Y + (Z + W))^{'}$$

$$= (X + Y + Z + W)^{'}$$ $$= X^{'} Y^{'} Z^{'}W^{'}$$

Kevin Zakka
  • 1,544
  • but in the question they asked for Sum of product so it is still correct ? – D.k Oct 06 '15 at 21:28
  • It is in SOP form, in this case, there is just 1 minterm. You can check by setting up the Karnaugh Map for this boolean expression and extracting the only minterm which is when X and Y and W and Z are 0. – Kevin Zakka Oct 07 '15 at 04:38