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:9. 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.
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- 7arrow_forward1) The truth table of function fis given below left. Please complete its k-map in the right. XI X2 X3 X3arrow_forwardQ1 Find the minimum sum-of-products expression for each function (d denotes don't care terms specified in parentheses). (a) f(a,b,c,d) = Σm(0,2,3,4,7,8,14) (b) f(a,b,c,d) = Σm(1,2,4,15) + Σd(0,3,14)arrow_forward
- Help please draw the karnaugh map for the equation F(A,B,C,D)= A'B'CD+A'BCD+AB'CD+ABC'D'+ABC'D+ABCD'+ABCDarrow_forwardWrite 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_forward2. Assume you have the following truth tables for functions F1(x, y, z) and F2(x, y, z): X y 0 0 0 0 1 1 1 1 oK NOH 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 F1 --| 1 1 0 0 0 1 0 0 F2 ононононл 1 1 1 1 a) Express F1 and F2 in sum-of-products form b) Simplify each functionarrow_forward
- Given 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_forwardConstruct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y)(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z) Simplify the following Boolean functions T1 and T2 to a minimum number of literals: T2 0 0 0 1 1 1 1 1 A OOO 0 0 0 LLLL 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 اهای 1 T1 1 1 1 0 0 0 0 0arrow_forwardF please.arrow_forward
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