a) Find the sum of products expression for the functions fi and f given by the...
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...
3.41 Given the circuit below, find the minimum SOP expression for f(W,X,Y,Z). 4-10-16 Decoder 1 NO ZA ܩܘܩܩܩܩܩܩܩܩܩܩܩܩܩܩ
Given the sum-of-minterms expression F = m4 + m6 + m7 + m12 + m14 + m15 a. Using letters, A-D for the bits, what sum of minterms does this expression represent? b. Plot the following in a Karnaugh Map. c. Using the karnaugh map, state the simplest sum-of-products expression. d. Using the karnaugh map, state the simplest product-of-sums expression. e. Demonstrate how you would use a 4-line to 16 line demultiplexer to implement the circuit. You may use either...
P 7.47 Part A Using the sum-of-products approach, select an expression for FI in terms of the inputs Consider the table below. A, B, and C represent logic variable input signals; F through K are outputs. Figure 1) О Н=ПМ(2, 4, 5, 6, 7) HIIM(0, 1, 3) Hm(0,2,5,7 0 H=Ern(2,3,4,5) H-Em(2,3,6,7 Figure H2m(0,1,2,6,7) Hm(3, 4,5) Row A BCFGHIUK H-nw(1,3,4,6) HIM(0, 1,6,7) О Н=ПМ(0,1,4,5) Submit Request Answer
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)
Using a prime implicant chart, find all minimum sum-of-products solutions for each of the functions given in Problem below Q. For each of the following functions, find all of the prime implicants using the Quine- McCluskey method. (a) f(a, b, c, d) = Σ m(0, 3, 4, 5, 7, 9, 11, 13) (b) f(a, b, c, d) = Σ m(2, 4, 5, 6, 9, 10, 11, 12, 13, 15)
Can you please provide the canonical sum of products and minimum sum of products for both functions? f(a,b,c)=Σ m(3,5,6,7) b) a) f(w, x, y, z)=Σ m(0,2,3,4,5,7,8,10, 12,13) Prelab: Develop a canonical SOP and minimum SOP expression for the two functions using the techniques you learned in class. Design an implementation for each 1.
6. (10 points) Given the following circuit diagram, please find out the corresponding logic expression F. Re-write the function F using the canonical sum-of-products representation (Note that the final answer needs to be a logic expression without using the m, M, or notations) NS
digital logic design 5. (20 Points) Given the logie circuit below, with the decoder having active low outputs as shown. Find the minimum switching expression for f(W,X,Y,Z) in the SOP form. Y EXY х w 4-6-16 10 Decoder GI 12 13P 14 150 I D G Search or type URL 5 6 & 7 8 9 0
5. (20 points) Given the logie circuit below, with the decoder having active low outputs as shown. Find the minimum switching expression for f(W,X,Y,Z) in the SOP form. 46 SP WXYD) w 9 4-10-16 10 Decoder 11 12 GI 13 14 150