#1. Design a hazard free circuit for the following specification. f(w,x, y,z) - Im(0,1,5,8,12) + D(7,13,15)....
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15) a) Draw the K-map for the given function F. b) What is the minimized SOP equation? c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard. d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal. e) Provide the expression of an equivalent logic function...
7. The literal cost of minimum Hazard-Free POS of F(w, x, y, z) = ∑(1,3,4,5,,8,10,11,12) is a. 12 b. 14 c. 18 d. 22 e. 24 A JKFF, initially at Q = 1, is fed with the following inputs for the next 3 clock cycles JK = 11, 10, 01 (time advances from left to right). The state progression for this period is Q= a. 010 b. 011 c. 101 d. 110 e. 000 A JKFF, initially at Q =...
Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). 0 01 0 0 100O 0 110 (0
1- Please answer all the question 2- with clear handwriting Thank you, 3. Design a combinational circuit with inputs a, b, c, d and outputs w, z, y, z, where the input and output both represent a signed numbers (2s complement). The output is 7 less than the input, if the input is positive, or zero. If the input is negative, the output is 3 greater than the input. 7. Use the Boolean functions developed in problem #3 to create...
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...
1.) Draw the combinational circuit that direclty implements the following boolen expression: F(x,y,z)= xz + (xy + 'z). 2.) Draw the combinational circuit that direclty implements the following boolen expression: F(x,y,z)= 'xyx+ yz + x'y.
Write F(x, y, z) = (x + z) (x + y) + (y + z) as a sum of minterms. Draw the circuit for F(a, b, c) = pi (3, 4, 6, 7)
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...
Q2: 1. Proof this Boolean expression. Use Boolean Algebra (X+Y). (Z+W).(X'+Y+W) = Y.Z+X.W+Y.W 2. For this BF F(X,,Z)=((XYZ)(X +Z))(X+Y) • Design the digital circuit Derive the Boolean Function of X, Y, Z. Simplify the Function Derive the truth table before and after simplification. Derive the BF F(X,Y,Z) as Maxterms (POS) and miterms (SOP). Implement the F(X,Y,Z) after simplification using NAND gates only. Implement the F(X,Y,Z) after simplification using OR NOR gates only.