in digital design

answer q1 a.b

q2 a

q4 a.b

Home work Q1. Simplify the following Boolean expressions to a minimum number of literals: 2. xy + xy' b (x + y)(x + y) cxyz + x'y + xyz d. (A + B)'(A' +B) e. (a + b + c)(a' b' + c) fa'bc + abc' + abc + a'bc Q2. Reduce the following Boolean expressions to the indicated number of literals: a. A'C' + ABC + AC to three literals b. (x'y' +z)' +z + xy + wz to three literals C A'B(D' + CD) +B(A + A'CD) to one literal d. (A' +C)(A' + C')(A+B+CD) to four literals e. ABCD + A'BD + ABCD to two literals Q3. Find the complement of the following expressions: a.xy' + x'y b. (a + c)(a + b)(a + b + c) c 2+z'(u'w + xy) Q4. Convert each of the following to the other canonical form: a. F(A,B,C,D) (2,4,7,10, 12, 14) b. F(x, y, z) = 11(3,5,7)