6) A sequential circuit has two JK flip flops A, and B and one input X. The circuit isdescribed by the following flip flop equationsКА 3 В'КвJA= Aa) Derive the state equations A(t+1) and B(t+1)b) Draw the state diagram of the circuit

Answered: 6) A sequential circuit has two JK flip…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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2. A sequential circuit has two JK flip-flops A and B and one input x . The circuit is described by the following flip-flop input equations: JA = A 'x'+ B' JB = A' + xB' z = B'y' + Bx 'y' (a) Draw the logic diagram (b) Draw the state diagram of the circuit. KA = A' + By KB = AB + xy'
(a) Find the output of the circuit corresponding to the input P = 1, Q = 0, and R = 1. (b) Write the Boolean expression corresponding to the circuit.
Consider the combinational circuit shown in Fig. 3.1.4. i) Derive the Boolean expressions for T₁ through T4. Evaluate the outputs F₁ and F₂ as a function of the four inputs. ii) List the truth table with 16 binary combinations of the four input variables. Then list the binary values for T₁ through T4 and outputs F₁ and F₂ in the table. iii) Plot the output Boolean function obtained in part (ii) on maps and show that simplified Boolean expressions are equivalent to the ones obtained in part (i) T3 A B C D D NY F₁ -F₂
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16. Draw Logic circuits for the following functions (a) F(X, Y, Z) = (X + Y) + YZ (b) F(X, Y, Z) = (XYZY + XZ + Yz 9:08 AM
7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1
4
* Given the following T and JK flip-flops sequential circuit: J Q Q T A B K Q clk a) Write the input and output equations b) Derive the state table of the sequential circuit shown in figure. c) Derive the state diagram of the sequential circuit shown in figure.
3. A sequential circuit with two D flip-flops, A and B, two inputs X and Y, and one output Z is specified by the following input and output equations: DA = AX + BY DB = B'(X+Y) Z = A + B a. b. C. Draw the logic diagram of the circuit. Derive the state table for the circuit. Derive the state diagram for the circuit.
2. A sequential circuit with two D flip-flops A and B, two inputs X and Y, and one output Z is specified by the following input and output equations: DA = AX+XY DB = BX + XY Z = AB a b. . C Draw the logic diagram of the circuit Derive the state table for the circuit Derive the state diagram for the circuit.
5. Consider the circuit diagram in Fig. 1 a. Write the Boolean expression for the function F(x, y, z) b. Construct the truth table describing the outputs of the circuit F(x, y, z). c. Express the function F (x.y,z) as product of maxterms. Please give your answer as a function of x, y, and z. Do Fig. 1 for Question 5
1. Given the following circuit: 5 ns D. 1ons The gate delays are as shown above the gates. A, B, C are three input, and all of them are varying, as given below: A = 0 at time 0, and stays constant until time = 20 ns, when it changes to 1 and stays constant there after B = 1 at time = 0, and stays at 1 value until time = 35 ns, and then changes to 0 at35 ns, and stays constant after that. !3! %3D C= 0 at time 0 and changes to 1 at 50ns Plot A, B, C upto time = 70 ns.

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6) A sequential circuit has two JK flip flops A, and B and one input X. The circuit is described by the following flip flop equations КА 3 В' Кв JA = A a) Derive the state equations A(t+1) and B(t+1) b) Draw the state diagram of the circuit