Question

Solve the following problems: 1.(4 points) Design the simplest sum-of-products circuit that implements the function Write the truth table, canonical SOP form, minimal form, and cost. 2.(4 points) Design the simplest product-of-sums circuit that implements the function f(x1, X2, X3 ) = II M(2,3,6). Write the truth table, canonical POS form, minimal form, and cost. 3.(2 point) Design a circuit that implements the simplest sum-of-products circuit that implements the function ing only NAND gates. Show all work, including logic networks.

Answer 1

Far2 x 2 m (2,3,4,5,7) 1a, 0 13 0 0 Canonica! sop! kpl Z37 X1 X₂ 23 + x, Xyt+ x, Zzxzt X, X2 X3 minimizing knap 2 22.23 ocolo s101 Minimal form: xi Rat 2, 2+2, X3 2) f(x, 1X2,83) = 7M (2,3,6). Truth tables canonical post bestaat xz) (2, tłatz | Cet 202773) xz Minimizing X2 X3 k-map: minimal form! it a) (x2+4)

If62, 122,23) Zm(1,3,4,6,7) Minimizing! minimal form f è, az + x 23 + H2 23 xi@x3 + x₂ 23 implementing cirant using and Gates & wo DotDo X10 X3 a, 6x3 + x2