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3. Find the Algebraic expression for F and G by Karnaugh maps b d F G...
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)
Provide detailed reponse on a separate sheet of paper 28) Using K-Maps, simplify the following: a) F(W, X, Y,Z) (0,2,6,8,10,14) b) F(W, X, Y, Z) 2(7,10,11,13,14,15) 29) Design a logic circuit to determine SQUARE OF THE SUM of TWO "2-bit" numbers. Define binary inputs and outputs, and provide: (a) Truth table (b) Digital circuit implementation using decoder(s) 30) Design a logic circuit that takes 0-9 (in binary) and turns ON corresponding LEDS L1 - L7. For example, all LEDS but...
Question 4. (a) Find the minimum sum-of-products expression for each of the functions below using Karnaugh maps i) F = EA,B,C,D(2, 3, 6, 7, 12, 13, 14) (Note: the numbers in the brackets correspond to positions in the Karnaugh map where F takes the logic value 1, ie F = 1 when ABCD = 0010, 0011, 0110, etc). ii) F = []w.x,y,z(0, 2, 6, 7, 8, 14, 15) (Note: the numbers in the brackets correspond to positions in the Karnaugh...
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)
could use some help with this. please show work so that i can
understand how its done as well.
1. A BCD-to-seven-segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal digit in a familiar form. The seven outputs of the decoder (a, b, c, d, e, f, g) select the corresponding segments in the display. Using a truth table...
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD
Please work on Part E & F
Given the State Table Below Q1 Q2 Q3 X-1 X-0 X-1 10111loloi A. Draw a state Diagram (5 points) B. Create the "design truth table" for the "next state" and the "output"' (5 points) C. Make a Karnaugh for each "next state" and the "output" (10 points) When making the Karnaugh maps, "xQ1" should be along the top and "0203" along the side (The two missing states should be considered "DONT CARES") Write...
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...
Class 24 1. Given the shorthand POS expression F(a,b,c,d) П M (0,6,7,8) (b + c + d)(a + D+ ē): a. (25 points) Implement F using one 4-to-16 decoder and one OR gate of any size. b. (25 points) Implement F using four 2-40-4 decoders and one OR gate of any size. c. (25 points) Implement F using just two 8-to-3 encoders, NOT gates, and one AND gate of any size. Hint: given NOT gates and an AND gate to...
Implement the Boolean expression F (A, B, C, D) = summation (1, 3, 4,7, 8,12, 13, 14, 15) using 4X1 mux.