Applying the different laws and identities in Boolean algebra, determine the minterm expansion of the given Boolean expression: 30 pts. F(W,X,Y,Z) = X'Z + W’XY’ + W(X’Y + XY') Note: Show step-by-step process on how you arrived at your answer Assumptions and use of maps not allowed Problem 1 Problem 2 Using a map, determine the Boolean expression (in POS) of the function based on the given minterm expansion below. Clearly label all groups on the map

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CpE107 - LOGIC CIRCUITS & SWITCHING THEORY I
Professor: Engr. Rafael G. Maramba
Quiz Module 1 Set XXX
Section B1
Applying the different laws and identities in Boolean
algebra, determine the minterm expansion of the
given Boolean expression:
30 pts.
F(W,X,Y,Z) = X’Z + W’XY' + W(X'Y + XY')
Note: Show step-by-step process on how you arrived at your answer
Assumptions and use of maps not allowed
Problem 1
Problem 2
Using a map, determine the Boolean expression (in
POS) of the function based on the given minterm
expansion below. Clearly label all groups on the map
and show all grid lines.
30 pts.
f(W,X,Y,Z) = Σm (1, 2, 3, 5, 7, 9, 10, 11, 13, 15)
Problem 3 If the simplest expression of the given Boolean function
is expressed in SOP, determine all the essential prime
implicants.
40 pts.
f(V,W,X,Y,Z) = Σm (1,3,4,5,7,9,12, 14, 16, 18, 20, 22, 24, 26, 28,30)
Answer format: Essential Prime Implicant/s
=
Support your answer by showing the necessary maps.
Clearly label all groups and show all grid lines.
Transcribed Image Text:CpE107 - LOGIC CIRCUITS & SWITCHING THEORY I Professor: Engr. Rafael G. Maramba Quiz Module 1 Set XXX Section B1 Applying the different laws and identities in Boolean algebra, determine the minterm expansion of the given Boolean expression: 30 pts. F(W,X,Y,Z) = X’Z + W’XY' + W(X'Y + XY') Note: Show step-by-step process on how you arrived at your answer Assumptions and use of maps not allowed Problem 1 Problem 2 Using a map, determine the Boolean expression (in POS) of the function based on the given minterm expansion below. Clearly label all groups on the map and show all grid lines. 30 pts. f(W,X,Y,Z) = Σm (1, 2, 3, 5, 7, 9, 10, 11, 13, 15) Problem 3 If the simplest expression of the given Boolean function is expressed in SOP, determine all the essential prime implicants. 40 pts. f(V,W,X,Y,Z) = Σm (1,3,4,5,7,9,12, 14, 16, 18, 20, 22, 24, 26, 28,30) Answer format: Essential Prime Implicant/s = Support your answer by showing the necessary maps. Clearly label all groups and show all grid lines.
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