Electronic – Karnaugh Map from this expression

digital-logickarnaugh maplogic-gates

Here is the expression I am trying to represent in the Karnaugh Map:

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This is what I have done: Can somebody confirm if this is right? I have done the truth table right, however I am having doubts on whether the map has been done correctly.

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Any help would be appreciated

Best Answer

Your K-Map is correct.

R = (X + X' + Y' + Z)(XY + X'Y'Z+YZ')

R = (1 + Y' + Z)(XY + X'Y'Z+YZ')

R = (1)(XY + X'Y'Z+YZ')

R = XY + X'Y'Z+YZ'

R = XYZ' + XYZ + X'Y'Z + XYZ' + X'YZ'

R = XYZ + X'Y'Z + XYZ' + X'YZ'

respective terms of last equation will be logic one in K-Map

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