Question

Please solve the problems from 7_8

Digital system

please just answer 7_8

thank you

1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions into sum-of-products form using a K-map (a) F(w, z, ya)-Σ(1, 2, 4, 6, 8, 10, 12, 13, 14, 15) (b) F(a,b,c,d)=Σ(0,2,3,4,6,8, 14, 15) (c) F(e.x, y,z) = Π(2. 3.4.7.8.10.14.15) (d) Fla,b,c,d)=Π(3,4, 5,6, 7,9, 11, 12, 13, 14) . Minimize the following Boolean functions into product-of-sumns form using a K-map (a) Flw, r,y)2(0,1,2,5,7,8, 10, 13) (b) Fla,b,c,d)=Σ(1, 2, 3, 7, 10) (c) F(w, z, y,z)= Π(1.3, 6, 8, 10, 12, 13, 15) (d) F(a,b,c,d) = Π(0.3, 6.9, 11, 13, 15) 5. Minimizhe following Boolean funetions into both sum-of produets and product-of-sums forms using a K-map (funton d) indicates don't care conditions) (a) F(e.z,y,z)= Σ(0, 1, 2, 5, 7, 14, 15) d(w,z, y, ะ) (3, 8, 10, 12, 13) (b) Fla,b,c,d)=Σ(2.3.7.12.15) d(a, b, c, d) Σ(0, 1,4, 9, 10) 6. Consider the following multi-level combinational logic circnits. (a) Implement the circuit given in Figure 1 using only NAND gates (use of inverters is OK) (b) Implement the circuit given in Figure using only NOR gates (use of inverters is OK)

Answer 1