1) Logic gates (or, and, not, nand, nor, xor, xnor) with their equations and truth table
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- i)Simplify the expression in the image shown below using the Kamaugh map ii)Illustrate the results gotten on a logic circuita) For the given logic circuit diagram write the program by using the gate level modeling. b) For the given truth table write the program by using the data flow Modelling. c) Write the test bench of the given logic circuit with all possibilities Y1 Y2 Y3 Y4 Y5 Y6 Y7 A2 A1 A0Simplify the following Boolean functions using K-Map and Design the Logic diagram. a) F (A,B,C) = Em(0,1,2,4,7) b) F (A,B,C,D) = m(1,3,9,11,12,13,14,15) c) F (A,B,C,D) = Em(3,7,11,13,14,15) %3D %3D
- Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram EDHAIB Logic Converter 000000O00 ABCDEFGH Conversions 1OT AB + 10E + NAND AB C'+A B'C+AB C+AB C+ABC+ABC XDraw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FImplement the following Q1 using gate-level modeling and Q2 by any of the three modeling techniques (Gate-level modeling, dataflow modeling, behavioural modeling, or even a mix of different modeling techniques). Question 1 Q1. Write a Verilog program for logic equation: F= XY'Z'+ XY'Z+XYZ
- (c) Figure Q5(c) shows a logic circuit which has three inputs A, B, C and two outputs F and G. i) Obtain the logic expression for the outputs G and F. ii) Redesign the circuit using only 3-to-8 decoder (with active high outputs) and OR gates. G A B F Figure Q5(c)Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Y Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagramii By analyzing the following two logic functions, identify the static hazards and draw the hazard free logic circuit diagrams. For each logic function, include two sets of Karnaugh maps, one without hazards, and one with hazards. A and W are defined as the MSB: - f(W,X,Y,Z) = WXF + WYZ + WXY + XYZ · S(A,B, C, D) = BC(A + D) + TD + ABD
- Design a combinational circuit with three inputs x, y, and z and threeoutputs A, B, and C. When the binary input is 0, 1, 2, or 3, the binaryoutput is two greater than the input. When the binary input is 4, 5, 6,or 7, the binary output is three less than the input. Show the truthtable, k-map and logic diagram.Assuming we are given a Logic Gate network, the output of the circuit is given by the following equation Q=A.B+A.C+ A.B.C By using the Boolean Logic rules for simplification, select which of the following equations is the correct simplified one. Note that, the answer None of the above may sometimes be the correct response. Q=A+(B.C) O Q=A.(B.C) O Q=Ā. (B+C) ⒸQ=A. (B+C) None of the above O Not answeredDetailed Solution please Detailed Solution please Detailed Solution please Problem : Design a circuit that takes a 3-bit number and increments it by two using a minimum number of 4x1 Mux's and a minimum number of logic gates the output is four bits. Show your work and label all inputs/outputs appropriately.