# Use the following predicates to answer questions (a) through (f).

Posted: January 7th, 2022

Use the following predicates to answer questions (a) through (f).

W = (b ∧ c ∧ d)

X = (b ∧ d) ∨ ( b d)

Y = (a ∧ b)

Z = ( b ∧ d)

(a) Draw the Karnaugh map for the predicates. Put ab on the top

and cd on the side. Label each cell with W, X, Y, and/or Z as

appropriate.

(b) Find the minimal DNF expression that describes all cells that

have more than one definition.

(c) Find the minimal DNF expression that describes all cells that

have no definitions.

(d) Find the minimal DNF expression that describes X ∨ Z.

(e) Give a test set for X that uses each prime implicant once.

(f) Give a test set for X that is guaranteed to detect all faults in

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