computer organization

Name (last, first):___________________________________________________________

In order to receive full credit, you must show all your work. The correct answer must be placed on the answer line provided.

Given the following Boolean Function: F(w,x,y,z) = Σ(8,10,12,14)

1. (2 pts.) Show the function in the truth table in column F.

2. (2 pts.) Determine the minterms, and create the SOP expression.

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_ 3. (2 pts.) Determine the maxterms, and create the POS expression.

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4. (5 pts) Create the Karnaugh map (K-Map) for the Function, complete the groupings, and determine the minimized expression.

5. (4 pts.) Draw the logic diagram for the K-Map minimized expression. 6. (5 pts.) Verify the K-map expression is equivalent to the original function using the truth table provided

(showing all the steps to reach the outcome).

Note: Label your answers with the numbers listed above.

w x y z F minterms maxterms

4. K-Map using min terms.

y=0, z=0 y=0, z=1 y=1, z=1 y=1, z=0

w=0, x=0

w=0, x=1

w=1, x=1

w=1, x=0

5. Place your answer here:

Bonus (2 pts.): Create a logic diagram for Function F using only AND, OR, and INVERTER logic gates.

x y F

0 0 0

0 1 1

1 0 1

1 1 0