21. Simplify the following Boo Karnaugh maps. (a) ABC + AB + ABC (b) xy + x(wz + wz) (c) (BC + AD) (AB + CD)

1. Given the following Minterm Expansion. Plot the terms on a suitable K-Map and then (a) find out the essential prime implicants(if any) and then (b) determine the minimum SOP for the function. You may need additional prime implicants. F(a, b, c) = Im(0, 1, 2, 4, 6)

Please answer part b using Mathematica. Display code and output please

4. Karnaugh Maps Simplify parts a through d using Karnaugh maps a) F(x.y.)-Σ(0,2,4,5) b) F(x,y,z)=x'y'+yz+x'yz' c) F(w,x,y,z)=E(2,3,12,13,14,15) d) x'z+w'xy'+w(x'y+xy') e) Find minterms of xy+yz+xy'z by plotting it in a Karnaugh map. f) Find all the prime implicants of F (w, x, y, z)=E(0, 2, 4, 5, 6, 7, 8, 10, 13, 15) Determine which are essential. g) Simplify F (A, B, C, D)=E(1, 3, 4, 5, 10, 11, 12, 13, 14, 15) using essential prime implicants.