3. (25%) Implement the following 3 functions W,X,Y on a PLA with 4 product terms (Use...
3. (25%) Implement the following 3 functions W,X,Y on a PLA with 4 product terms (Use common terms to optimize the design to obtain 4 or less terms) W(A, B, C) = X(A, B, C) = Y(A, B, C) = m(0, 1,4,5) m(3,4,5) m(0, 1, 2, 3)
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).
3. Design a one bit subtractor. The circuit subtracts the number Y from X and generates a difference D bit and a borrow out Bo bit. The circuit has three inputs: X, Y and borrow in bit Bi shown in the figure below: во ID a. Derive the truth table for the function D(X,Y,Bi) and Bo(X,Y,Bi) b. Write the functions D and Bo as a canonical SOP form, using the little m notation. c. To implement the functions D and...
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)
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...
Use MATLAB to generate code for this 4.Given the following functions: (1) f1 (x, y) = cos (3 x); (2) f2 (x, y) = cos (5 y); (3) f3 (x, y) = cos (3 x) cos (5 y); Please plot 3D plots/images for each of the functions. Please show your steps/ derivations to explain why you obtain those plots/figures.
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...
a. Design and implement a combinational circuit with four inputs w,x, y and z and four outputs A, B,C and D using CMOS transistors. When the binary input is 0, 1, 2,3, 4, 5, 6 or 7 the binary output is three greater than the input. When the binary input is 8,10,11,12,13,14 or 15 the binary output is five less than the input. b. Draw the mask layout with Ln Lp 0.6 um, Wn- 4.8 um and Wp- 9.6 um...
a. Design and implement a combinational circuit with four inputs w,x, y and z and four outputs A, B,C and D using CMOS transistors. When the binary input is 0, 1, 2,3, 4, 5, 6 or 7 the binary output is three greater than the input. When the binary input is 8,10,11,12,13,14 or 15 the binary output is five less than the input. b. Draw the mask layout with Ln Lp 0.6 um, Wn- 4.8 um and Wp- 9.6 um...
Consider these three moment generating functions, for X, Y and Z: (5 points each) m (t)=W-3 m, (t)=e + m,(t)=eW-7 a. What is the mean of X? b. What is the mean of Y? c. What is the mean of Z? d. What is the variance of X? e. What is the variance of Y? f. What is the variance of Z? Consider independent random variables X and Y with the following pmfs: y=1 (0.5 x=1 S(x)= {0.5 x =...