Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:Given the following Boolean Function: F(w,x,y,z) = Σ(8,10,12,14)
Show the function in the truth table in column F.
1.
2.
3.
4.
5.
6.
Determine the minterms, and create the SOP expression.
Determine the maxterms, and create the POS expression.
Create the Karnaugh map (K-Map) for the Function, complete the groupings, and determine the
minimized expression.
Draw the logic diagram for the K-Map minimized expression.
Verify the K-map expression is equivalent to the original function using the truth table provided
(showing all the steps to reach the outcome).
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As per guidelines I can answer only first three subparts.
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- Write down an expression for F(X,Y,Z) in (a) sum of minterms form and (b) product of maxterms form for the truth table below: 4. Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1arrow_forwardGiven two Boolean functions T: and T2 with the truth table in Figure 1. B T1 イ2 0. 1 1 1 1 1 1 1 1 1 0. 1 1 1 1 1 1 1 1 1 1 1 Figure 1. The truth table for Problem #2. Simplify these functionsarrow_forward4. Using truth table, prove the following expression x(y+z) = xy+xzarrow_forward
- 9. Give a truth table and a standard sum of products expressions form (min-terms) that describes F(A,B,C) = A OBOCarrow_forward9. Given the following Boolean Function: F(A, B, C) = AB+B(Ā+C) Determine the canonical form for the SOP (sum of minterms) and POS (product of maxterms). Also, draw the truth tables showing the minterms and maxterms.arrow_forwardGiven the Boolean functions F1 and F2, show that- The boolean function E = F1 +F2 contains the sum of mintemrs of F1 and F2- The boolean function G = F1*F2 contains only the minterms that are common to F1 and F2arrow_forward
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