Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Convert each of the following to the other canonical form: F ( x , y , z ) = Σ ( 1 , 3 , 5 )
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- 3.) Given this truth table, find the unoptimized formula this corresponds to, along with the version which was optimized with a K-Map. A B C D O 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 Unoptimized Sum of Products equation 3a) 0 = Draw the K-map and simplify Optimized Sum of Products equation 3b) 0 =arrow_forward1- Express the following function as a sum of products and as a product of sums. F(w, x, y, z) = yw+xw+z'w' 2- Convert each of the following to the other canonical form a. F(x,y,z) = {(1,2,6) b. F(w, x, y, z) = (2,4,8,9)arrow_forward7. Convert each of the following to the other canonical form: Α F(x.y, z) Σ(2.5,6) Final answer: F (x, y, z) = | |(0,1,3,4,7) B. F(A,B,C,D)=II(0,1,2,4,7,9,12)arrow_forward
- Consider two operators A and B. What does [A, B] equal? (A) AB−BA (B) BA−AB(C) AB+BA(D) BA+AB(E) None of the above.arrow_forwardSimplify the following Boolean functions by means of K-map:a) f(A,B,C) =∑m(0,2,3,4,6)b) f(A,B,C,D) = ∑ m(0,2,3,7,8,10,12,13)c) F(X,Y,Z) = Y’Z+YZ+X’Y’Z’arrow_forward. Obtain the canonical SOP form of the following functions: (i) y(A,B) = A+B (ii) f (A,B,C) = A+BCarrow_forward
- Q1 Find the minimum sum-of-products expression for each function (d denotes don't care terms specified in parentheses). (a) f(a,b,c,d) = Σm(0,2,3,4,7,8,14) (b) f(a,b,c,d) = Σm(1,2,4,15) + Σd(0,3,14)arrow_forwardQ4/ Given the Boolean function F(A, B, C, D) =(0, 1, 6, 7, 1O, 11) together with the don't care conditions d (A, B,C,D)= (2,3,4,5,8,9,14,15). a) Simplify F in sum of products (SOP). b) Simplify F in product of sums (POS). c)implement the function f in botharrow_forwardF please.arrow_forward
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