Question

Part A Consider the table below. A, B, and C represent logic-variable input signals; F through K are outputs. (Figure 1) Using the sum-of-products approach, select an expression for G in terms of the inputs. O G ПМ(0,2,4,5) G m(2,3,4,5) G-m (1,3,6,7) O G_ⅡM(1,3,4,6) GEm(0,1,3) O G IIM(0,1,6,7) O G-En(2,4,5,6,7) O G m(0,2,5,7) 0 G=Σm(2,3,6,7) O G IIM (0,1,4,5) O G-ПМ(0,1,2,6,7) Figure 1 of 1 Submit Row A BC F G H IJ K Part B 0 0 00 1 0 0 0 1 0 0 01 01 0 Using the product-of-sums approach, select an expression for G in terms of the inputs. 3 0 1 1 01 011 1 4 1 00 0 0 0 0 0 1 5 1 01 1 0 0 0 0 1 6 1 1 000 1 0 G- IIM(1,3,4,6) O G-Im(0,2,5,7) G-ILM(2,4,5,6,7) G-IIM(0,2,4,5) O G-Em(2,3,6,7) O G П11(0,1,4,5) G ILM(0,1,2,6,7) Consider the table below. A, B, and C represent logic-variable input signals; F through K are outputs. Figure 1) Submit Part B Using the product-of-sums approach, select an expression for G in terms of the inputs G ILM(1,3,4,6) 0 G En(0,2,5,7) O G IIM(2,4,5,6,7) G ILM(0,2,4,5) G Em(0,1,2,6,7) G m(1,3,6,7) Figure 1 of 1 G= Σ'n(3,4,5) OG IM(0,1,6,7) G m(2,3,6,7) Row A BCF GHIJ K 0 0 0 0 1 1 1 0 0 0 1 0 01 01 01 0 GILM (0,1,4,5) G ILM(0,1,3) O Gm(2,3, 4,5) 5 1 011 0 0 00 1 6 11 0 0 01 1 1 0 7 1 1 1 0 1 0 Submit Provide Feedback

Answer 1

part A

G=(a'b'c' , a'b'c , a'bc)

G=(000,001,011)

G=Em(0,1,3)

part b

product of sum

$\prod$m(0,1,2,3,4,5,6,7- Em(0,1,3)

$\prod$m(2,4,5,6,7)