5.10 A sequential circuit has two JK flip-flops A and B, two inputs x and y, and one output z. The flip-flop input equations and circuit output equation are JA=Bx+B'y' KA=B'xy' JB=A'x KB=A+xy' z=Ax'y'+Bx'y' 1. (a) Draw the logic diagram of the circuit. 2. (b) Tabulate the state table. 3. (c)* Derive the state equations for A and B.
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- Design a combinational circuit using multiplexer for a car chime based on thefollowing system: A car chime or bell will sound if the output of the logic circuit(X) is set to a logic ‘1’. The chime is to be sounded for either of the followingconditions:• if the headlights are left on when the engine is turned off and• if the engine is off and the key is in the ignition when the door is opened.Use the following input names and nomenclature in the design process:• ‘E’ – Engine. ‘1’ if the engine is ON and ‘0’ if the engine is OFF• ‘L’ – Lights. ‘1’ if the lights are ON and ‘0’ if the lights are OFF• ‘K’ – Key. ‘1’ if the key is in the ignition and ‘0’ if the key is not in the ignition• ‘D’ – Door. ‘1’ the door is open and ‘0’ if the door is closed• ‘X’ – Output to Chime. ‘1’ is chime is ON and ‘0’ if chime is OFFQ) You want to design a synchronous counter sequential (sequential) logic circuit. Counting from 0 to 9 and will not count the last two digit of your student number. (a) List the steps that you will apply in the design approach. State Chart and State Create the table. (b) Design the sequential circuit using JK Flip-Flop. Explain each step. Desired action show that you have done it. " last two digit student num: 0 4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.A sequential circuit has two JK flip-flops A and B, two inputs x and y, and one output z. The flip-flop input equations and circuit output equation are attached below: a) Draw the logic diagram of the circuit. b) Derive the state equations for A and B c) Tabulate the state table. d) Draw the state diagram for the circuit and describe the function of circuit.
- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).Q) You want to design a synchronous counter sequential (sequential) logic circuit. Counting from 9 to 0 and will not count the last digit of your student number. (a) List the steps that you will apply in the design approach. State Chart and State Create the table. (b) Design the sequential circuit using JK Flip-Flop. Explain each step. Desired action show that you have done it. " last digit student num:4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.(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)
- Consider the following circuit, and answer the following questions: a) Find the Flip Flop Input Equations for this circuit B' B A' b) Find the State Equations for this circuit TC TE TA c) Find the State Table for this circuit d) Find the State Diagram for this circuit - Clock e) Is this a combinational logic circuit, or a sequential logic circuit? Explain in your own words. f) What is the function of this circuit? Explain in your own words. g) Design a circuit that performs the same function using JK Flip Flops. Your answer must include the circuit diagram, Flip Flop Input Equations, and the State Table for full credit. h) Design a circuit that performs the same function without using a Clock input. Your answer must include the circuit diagram, Flip Flop Input Equations, and the State Table for full credit.Consider the circuit below. The switches are controlled by logic variables such that, if A is high, switch A is closed, and if A is low, switch A is open. Conversely, if B is high, the switch labeled is open, and if B is low, the switch labeled is closed. The output variable is high if the output voltage is 5V, and the output variable is low if the output voltage is zero. a. Write a logic expression for the output variable. b. Construct the truth table for the circuit. A Logic 1 5V(+ B C Logic 0 R2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C
- You want to design a synchronous counter sequential (sequential) logic circuit. It will count from 0 to 9 and will not count the decimal digits in the last two digits of your student number. a. List the process steps that you will apply in the design approach. Create the State Chart and State Chart. b. Design the sequential circuit using JK Flip-Flop. Explain each step. Show that it has performed the desired action. last two numbers 02You want to design a synchronous counter sequential logic circuit. Counting from 0 to 9 will perform and not count the numbers 0, 3, 5, 8. (a) List the steps you will apply in the design approach. State Diagram and Status Create the table. (b) Design the sequential circuit using Flip-Flops. Explain each step. Desired action show that it does.Determine which of the logic circuits In Figure bellow are equivalent. O Select one: O O O 'B'. O A с D'. a. A'B'+ B'C+ ACD'+CD b. AB'+B'CD C. AB'+ B'C+ ACD'+AB d. OTHER e. AB'+AC'D' f. AB'+ACD' g. AB'+A'CD'