Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- Simplify the following Boolean functions, using three-variable K-maps: F = A’B’ + BC + A’BC’arrow_forwardSimplify the following Boolean functions by means of K-map:a) f(A,B,C) =∑m(0,2,3,4,6)b) f(A,B,C,D) = ∑ m(0,2,3,7,8,10,12,13)c) F(X,Y,Z) = Y’Z+YZ+X’Y’Z’arrow_forwardQ4/ Given the Boolean function F(A, B, C, D) =(0, 1, 6, 7, 1O, 11) together with the don't care conditions d (A, B,C,D)= (2,3,4,5,8,9,14,15). a) Simplify F in sum of products (SOP). b) Simplify F in product of sums (POS). c)implement the function f in botharrow_forward
- Using De Morgan’s Law, show (A + B)’ (A’ + B’)’ = 0arrow_forwardExpress the following functions as sum of minterms and product of maxterms: (a) F(A, B, C, D) = BD+ AD+ BD (b) F(x, y, z) = (xy +z)(xz + y) %3Darrow_forwardRepresent the GCDs calculated in Problem 2 as a linear combination of the original numbers. (i.e., GCD (a, b) = s*a + t* b, where s and t could be found using Bezout’s Theorem).arrow_forward
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