Hi aprilrocks92!
You are right!
Hello,
Given the following:
r = x' y' z' + (xy)' + x z' + x' y z'
(a) Draw the Karnaugh map
(b) From the Karnaugh map, find the minimized DNF
(c) Draw the logical circuit corresponding to this minimised DNF.
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Work so far.
(a)What throws me off is the (xy)' part. Using De Morgan's laws, can this be equated to x' + y'. If so, can I write r as:
r = x' y' z' + x' + y' + x z' + x' y z'
Assuming that r can be rewritten as shown above, r = x' y' z' + x' + y' + x z' + x' y z', is this a correct representation of the Karnaugh map:
y' y y y' x' 1 1 1 1 x 1 1 0 1 z' z' z z
(b) The minimised DNF would then be: x' + y' + z' (from circles in Karnaugh map).
(c) A logic circuit could then be constructed in the following way:
I would really appreciate an indication on whether or not I am interpreting this right. Thank you in advance.