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Gate-level minimization





Two-Variable Map





Simplify the Boolean function using K-Map



Q: F(x,y,z) = ∑(2,3,4,5)



Q: F(x,y,z) = ∑(3, 4, 6, 7)



Q. F(x, y, z) = ∑(0, 2, 4, 5, 6)



Q. Express this function as a sum of minterms and Find the minimal sum of products expression for F = A'C + A'B + AB'C + BC



Ans . F = C + A'B




Four Variable K-Map




Q. Simplify the Boolean function given by F(w,x,y,z) = ∑(0,1,2,4,5,6,8,9,12,13,14)



Q. Simplify the expression F = A'B'C' + B'CD' + A'BCD' + AB'C'




Prime Implicants




Q. Consider the following four-variable Boolean function: F(A, B, C, D) = ∑( 0, 2, 3, 5, 7, 8, 9, 10, 11, 13, 15)





PRODUCT-OF-SUMS SIMPLIFICATION




Q. Simplify the: following Boolean function into (a) sum-of-products form and (b) product-of­ sums form: F(A, B, C, D) = ∑(0, 1, 2, 5, 8, 9, 10)




Q. F(x,y,z) = ∏(0,2,5,7)


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