Q#01. 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 J. = B'y + Bx' J = A'x' Z = Axy + B'xy' K, = B'xy' Kg = (A')' + x'y' %3D (a) Draw the logic diagram of the circuit. (b) Tabulate the state table. (c) Derive the state equations for A and B
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- 2.1 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 CDesign 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).In this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gate
- Draw 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 = FConsider 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.Design a combinational logic circuit with four inputs A, B, C, D and one output F as follows. The inputs ABCD represent a four-bit unsigned binary number where A is the most significant bit and D is the least significant bit. Whenever the inputs represent an even number between 0 and 10, the output F is logic 1. Otherwise F is logic 0. Show all your working.
- (a) Construct the state table and determine the state equation of this circuit. (b) Consider the following three different approaches of implementing the sequential logic circuit Sketch the logic diagram of the circuit for each case (i) Use a negative-edge triggered D flip-flop and some primitive gates (i) Use a positive-edge triggered JK flip-flop and some primitive gates (ii) Use a positive-edge triggered T flip-flop and a 4x1 multiplexerQ) 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.4. For the logic circuit shown in Figure below write the required input condition (A,B,C) to make the output X =1. A B
- Design a 2-bit counter using D-Flip flops with one input. When the input is 0, the ww m wwww w w m w i ww ww wwww www counter counts down, with the repeated sequence (11-10-01-00). When the input is 1, the counter counts repeated random sequence (00-01-11-10). a) Derive the state table for the sequential circuit. wwwww b) Derive the simplified flip flops input equations. www w w ww www m www ww c)Draw the logic circuit diagram of a 2-bit counter.4 7) For the following sequential circuit: a) Tabulate the state table. b) Derive the state and output equations. c) Re-design the circuit using T flip-flops. Q1 Q -y K, K QP Jo Qo Q Ko K Q clock. please solve it as soon as possibleConsider 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 R