Use K-maps to find MSOP and MPOS expressions for the following incompletely specified functions.
(a) f(a,b,c,d) = ∑m(1,5,7,9) + d(6,13)
(b) g(a,b,c,d) = ∏M(3,6,8,9,14) · D(1,2,4,7,11,12,13)
Please find my answer for Part A
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Use K-maps to find MSOP and MPOS expressions for the following incompletely specified functions. (a) f(a,b,c,d)...
Find the simplified expressions given the K-maps a. F(A, B, C)-Σ m(2,4,6,7) В.С. в'C BC BC b, F(A, B, C)-Σ m(0,1,3,5,7) B'C' B'C BC BC F(A, B, C, D-yn(0,2,5,7,8,10) A B A B 12 13 15 14 AB 10 AB
Using K-maps, obtain the simplified product-of-sums and sum-of-products expressions for the following Boolean functions: a). b). F(x, y,2)-(3,5,6,7) d(0, 1,2) F(w,x, y, z) (0,1,2,3,7,8, 10)+ d(5,6,11, 15)
1. Use K-maps to reduce each of the following to a minimized SOP form: (a) A + BC + CD (b) ABCD + ABCD + ABCD + ABCD (c) ABCD + CD) + ABCD + CD) + ABCD (d) (AB + ABXCD + CD) (e) AB + AB + CD + CD 2. Use K-maps to find the minimum SOP expression for the logic function shown in the table to the right. Implement the circuit using NAND gates only. Inputs...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Simplify the following functions using Karnaugh maps. 1) E(A, B, C) = ∑m (0, 3, 5, 6) 2) F(A, B, C) = ∏M (3, 4, 6) 3) G(A, B, C) = ∏M (0, 3, 5, 6) 4) H(A, B, C) = ∏M (5, 6)
1. (12 points) Simplify the following Boolean functions using K-maps to get smallest implementation (in terms of number of inverters and 2-input AND, and OR gates used): a. F(a, b,c,d) b + bcd +ac a b. W(m,n, q,r) = n(0,2,8,11,12,13,14,15) D(1,4,6,9,10) c. Z(a, b,c, d)E(1,5,7,9,10,12,13) d(0,8,15)
1. For each of the following logic expressions, complete a Karnaugh map (K-map) and use it to find the minimal logic expression. (a) F= ABC+ BT D+CD + BCD (b) G JKL M+JKLM+7RM +KL+ JLM
2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D) = m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E) = m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) = m(1,4,7,10,13)+d(5,14,15) et autorit fiinctione rein the MA techninio 2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D)= m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E)= m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) =...
1- DESIGN THE FOLLOWING CIRCUIT f(A,B,C,D) = Σ m( 0,1,3,4,6,8,9,11,13,15) in NAND implementation? 2- use a K-map to minimize the following standard SOP expressions F(A,B,C)=A.C[B'+B.(B+C')]? 3- use a k-map to minimize the following standard POS expressions F(A,B,C)= A'.(BC+BC')+A,(BC+BC')
A combinational circuit is specified by the following three Boolean functions: F(A,B,C) = Σ(3,5,6) F(A,B,C) = Σ(1,4) F(A,B,C) = Σ(2,3,5,6,7) Implement the circuit with an active-low decoder and appropriate gates