ZuoTi.Pro
Question

For the following functions, determine minimal SOP realizations: a. F(a, b, c) = ∑ (0, 1,...

For the following functions, determine minimal SOP realizations:
a. F(a, b, c) = ∑ (0, 1, 2, 3, 4, 5, 6, 7)
b. F(a, b, c) = ∑ (1, 2, 3, 4, 5, 7)
c. F(a, b, c) = ∑ (0, 2, 4, 6)

engineering   Electrical-Engineering   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

* Given that f(a,b,c) = E (0, 1, 2, 3, 4, 5, 6,7) ( с таъс + abc Wirabê ( pia mabēt a c + ābēt + abĆ + abc F = ā5 (6+c) +ãb (( Karnaugh Map verification: Method) ! be 10 a of 8 Shells) F=1 (Grosuping b c tabč tabc + abc b) f(a,b,c) : <m (1,2,3,4,5,7)verification: 79 F = 0 + Ⓡ + ® C + 2 b + ab F F = (a b) to {m (0,2,4,5) J Fla, b, c) © 290 +290 +290 +292 - worden toto obsodverification : 11 10 \bc 00 01 . FEĞ bor Exprenions: the following Sop realizatiom Minimum a) f(a,b,c) = {m (0,1,2,3,4,5,6,7)

If you like the answer please thumbs up......i have clarly mentioned all the steps ........

0 0
Add a comment
Know the answer?
Add Answer to:
For the following functions, determine minimal SOP realizations: a. F(a, b, c) = ∑ (0, 1,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • For the following functions, determine minimal SOP realizations: i. F(a, b, c, d) = ∑ (0,...

    For the following functions, determine minimal SOP realizations: i. F(a, b, c, d) = ∑ (0, 1, 4, 12, 14, 15) j. F(a, b, c, d) = ∑ (1, 3, 4, 5, 6, 7, 9, 11, 13, 15) k. F(a, b, c, d) = ∑ (0, 2, 6, 8, 9, 10, 11, 14) l. F(a, b, c, d) = ∑ (5, 7, 9, 11, 13, 15)

  • minimal realizations

    Problem2: Minimal Realizationsa: Find a minimal realization of the following system:$$ \begin{array}{l} \dot{x}(t)=\left[\begin{array}{cc} -1 & 1 \\ 0 & -2 \end{array}\right] x(t)+\left[\begin{array}{l} 1 \\ 0 \end{array}\right] u(t) \\ y(t)=\left[\begin{array}{ll} 1 & 0 \end{array}\right] x(t) \end{array} $$b: Check if the following realization is minimal:$$ \dot{x}(t)=\left[\begin{array}{cc} -1 & 1 \\ 0 & -2 \end{array}\right] x(t)+\left[\begin{array}{l} 0 \\ 1 \end{array}\right] u(t) $$$$ y(t)=\left[\begin{array}{ll} 1 & 0 \end{array}\right] x(t) $$ci Consider a single-input, single-output system given by:$$ \begin{array}{l} \dot{x}(t)=\left[\begin{array}{cccc} -2 & 3 & 0...

  • (18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3,...

    (18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...

  • Problem 4. Given the following circuit, determine the SOP logic expressions for the functions Fand G...

    Problem 4. Given the following circuit, determine the SOP logic expressions for the functions Fand G in terms of the variables w, x, y and z without substituting all possible combinations for the input variables. The SOP expression does not have to be the simplest one. - F(w.x,yz) u 2-to-MUX 2-to-4 Dec - G(w.x,y,z)

  • 1. (8 points) Obtain a minimal SOP form for the boolean function f(x,y,z,w) implemented by logic...

    1. (8 points) Obtain a minimal SOP form for the boolean function f(x,y,z,w) implemented by logic network below. Compare the gate count and number of gate inputs in your minimal SOP expression with those for the network below. f(x,y,z,w)

  • Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. F_a...

    Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. F_a = sigma_w, x, y, z(0, 1, 3, 5, 14) + d(8, 15) F_b = sigma_w, x, y, z(0, 1, 2, 8, 11) + d(3, 9, 15) F_c = sigma_A, B, C, D (4, 6, 7, 9, 13) + d(12) F_d = sigma_W, X, Y, Z (4, 5, 9, 13, 15) + d{0, 1, 7, 11, 12)

  • Simplify the following functions using Karnaugh maps. 1) E(A, B, C) = ∑m (0, 3, 5,...

    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) For each of the following functions, determine if it is injective and determine if it...

    (1) For each of the following functions, determine if it is injective and determine if it is surjective. Justify your answer. (a) f : R → R, f(x) = 2x + 3. (b) g : R → R 2 , g(x) = (2x, 3x −1). (c) h : R 2 → R, h((x, y)) = x + y + 1. (d) j : {1, 2, 3} → {4, 5, 6}, j(1) = 5, j(2) = 4, j(3) = 6. (2)...

  • Which of the following is minimum SOP expression of F(A,B,C,D)=∑(2,3,4,5,9,12,14,15) with don't-care conditions, d(A,B,C,D)= (6,7,13) ?...

    Which of the following is minimum SOP expression of F(A,B,C,D)=∑(2,3,4,5,9,12,14,15) with don't-care conditions, d(A,B,C,D)= (6,7,13) ? 1. B+A'B'C+AC'D 2. B+A'C+AB'C'D 3. B+A'C+AC'D 4. A+A'B'C+AC'D QUESTION 2 Which of the following is minimum POS expression of F(A,B,C,D)=Π(0,2,4,6,8,10,11,12,14) with don't-care conditions, d(A,B,C,D)=(1,9) ? 1. D 2. D'(A+B') 3. D' 4. D(A'+B) Which of the following is minimum SOP expression of F(A,B,C,D)=Π(0,1,2,3,5,7)? 1. AB+AD' 2. A'+B'D 3. A+BD' 4. A'B'+A'D Which of the following is minimum POS expression of F(A,B,C)=∑(0,1,2,3,5)? 1. A'(B'+C) 2....

  • Please write in VHDL code: Design the minimal SOP circuit to implement the function F(a,b,c) =...

    Please write in VHDL code: Design the minimal SOP circuit to implement the function F(a,b,c) = MINTERMS(1,5,6,7).Create the gate-level structural architecture named struct1 of your design. Write a testbench to test struct1 above. Hold each input vector constant for 10ns. Your testbench needs verify the correct output for each of the eight input vectors. Your testbench should also include tests for the following transitions: 001->101, 001->110, 001->111, 101->001, 101->110, 101->111, 110->001, 110->101, 110->111, 111->001, 111->101, and 111->110. Hold each of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT