Given four-input Boolean functions,
F1 (A,B,C,D) = Σm(4, 5, 10, 11, 12)
F2 (A,B,C,D) = Σm(0, 1, 3, 4, 8, 11)
F3 (A,B,C,D) = Σm(0, 4, 10, 12, 14)
(a) Realize F1, F2 and F3 using a ROM.
(b) Realize F1, F2 and F3 using a PLA of minimum size. Show the PLA table and location of switches.
Given four-input Boolean functions, F1 (A,B,C,D) = Σm(4, 5, 10, 11, 12)
Procedure Given the following switching functions with four inputs, a, b, c, and d and three outputs, F2, F1, Fo, F2 (a, b,c,d) = Em (3,4,6,9, 11) F (a, b, c, d) =m (2, 4, 8, 10, 11, 12) Fo (a, b, c, d) =ăm (4, 6, 9, 14, 15) 1. Design the switching functions using 8:1 MUXs. 2. Design the switching using 4:16 Decoder and minimal logic gates. 3. Design the switching functions using a ROM. 4. Design a...
Exercise 2: Show a design for the following Boolean functions using the simple 4-input, 4 output PAL shown below. Observe that the simple PAL has active high outputs- that is, the outputs of the OR gates are not inverted. (Hint: Try to simplify the functions) F1(A, B, C, D) m (6,7,9,11,12,13) F2(A, B, C, D)-m(0,2,3,4,5,10,11,13,15) F3(A, B, C, D)-m(2,3,6,7,10,11,14,15) A B C D FI F2 F3 F4 March 6, 2019
Problem 1 Write the output functions of the PLA circuit given at the left. a. F1 b. F2 c. F3
Problem 1 Write the output functions of the PLA circuit given at the left. a. F1 b. F2 c. F3
Computer architecture
Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit, using AND, OR and NOT logic gates (20 points). 2. Design two 4-to-1 selectors, one for each Boolean function (20 points) 3. Design one 3-to-8 decoder to solve both Boolean functions (20 points) 4. Design a 8x2 ROM to solve both Boolean functions (20 points) 5. Design a 3x5x2 PLA to solve both Boolean functions...
(a) Implement the following Boolean functions using decoders. i) F1 = x'y z' + x Z ii) F2 = x y' z' + x' y (b) Implement the following Boolean function using multiplexers. i) F1 (a, b, c, d) = Σ(1, 3, 4, 11, 12, 13, 14, 15) ii) F2 (a, b, c, d)= Σ(1, 2, 5, 7, 8, 10, 11, 13, 15)
(10 Points) Realize F, and F, using a PLA. Fi(a,b,c,d) = m(1,2,4,5,6, 8, 10, 12, 14) F2(a, b, c, d) = m(2, 4, 6, 8, 10, 11, 12, 14, 15)
The functions are: f1(a,b,c,d) = ∑m(0,1,3,6,9,11) , f2(a,b,c,d) = Πm(2,3,4,5,7,10,11,12,13,14,15) and f3(a,b,c,d) = ab’c’ + a’b’c +b’cd Complete the following problems for functions f1, f2, and f3 1. Implement the 3 functions on one(1) 4x16 decoder
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...
Question #7 12 points Implement the following functions using: X(A,B,C,D) = X (3,7,11,14,15) Y(A, B,C,D) = {(3,4,5,7,11,15) Z(A, B, C,D) = {(1,5, 14, 15) a) a single 16 x 3 ROM (use dot notation to indicate the ROM contents) b) a 4 x 4 x 3 PLA (use dot notation)
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).