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'yyy'x'1111x1101z'z'zz

(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.