1. Design the state diagram and create the state table for a synchronous to detect the sequence0101. The circuit has a single input, x, and a single output z. The output is logic-1 wheneverthe input sequence 0101 is detected, logic-0 otherwise. Note that overlapping sequences areallowed (that is: If the input is 01010101, the output is high on every 1 beginning with thesecond). Write the equations for the state variables and the output z.2. Design the state diagram and create the state table for a synchronous modulo-3 counter (thatis, one that continually counts in the sequence 0, 1, 2, 0, 1, 2, . . .). Write the equations for thestate variables. Note: In this case, the state variables can be used as the outputs. 1. Your goal is to design a circuit which has as input a number 0-9 represented in binary form.The inputs are labeled A, B, C, D where A is the most significant bit. 10-15 represent "don'tcare" conditions. The output is the sum of 3 and the input represented in binary form. Theoutputs are labeled W, X, Y, Z where W is the most significant bit.a. Create a truth table for the circuit.b. Complete the Karnaugh maps for W and Y, minimizing the Boolean functions. BlankK-maps are attached.Write the Boolean equations for W and Y from the K-maps.с.2. Implement the following truth table directly (without any minimization) using a PLA. Properlylabel the inputs and outputs.InputsOutputsACDXY11111111111111111111111

1. Design the state diagram and create the state table for a synchronous to detect the sequence 0101. The circuit has a single input, x, and a single output z. The output is logic-1 whenever the input sequence 0101 is detected, logic-0 otherwise. Note that overlapping sequences are allowed (that is: If the input is 01010101, the output is high on every 1 beginning with the second). Write the equations for the state variables and the output z. 2. Design the state diagram and create the state table for a synchronous modulo-3 counter (that is, one that continually counts in the sequence 0, 1, 2, 0, 1, 2, ...). Write the equations for the state variables. Note: In this case, the state variables can be used as the outputs.

1. Design the state diagram and create the state table for a synchronous to detect the sequence 0101. The circuit has a single input, x, and a single output z. The output is logic-1 whenever the input sequence 0101 is detected, logic-0 otherwise. Note that overlapping sequences are allowed (that is: If the input is 01010101, the output is high on every 1 beginning with the second). Write the equations for the state variables and the output z. 2. Design the state diagram and create the state table for a synchronous modulo-3 counter (that is, one that continually counts in the sequence 0, 1, 2, 0, 1, 2, ...). Write the equations for the state variables. Note: In this case, the state variables can be used as the outputs.

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter4: Making Decisions

Section: Chapter Questions

Problem 4RQ

See similar textbooks

Similar questions

Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?
Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.
1. A possible logic circuit design for a 3-bit even parity bit generator is shown below. Analyze the circuit and trace its outputs given different input combinations. Complete the circuit's truth table. Also generate its Boolean expression. Inputs Output C A B 1 1 1 1 1 1 1 1 Boolean expression: Considering your derived Boolean function, simplify the equation using Boolean algebra. P.
We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.
Consider a circuit that takes the numbers 0 through 7 as inputs (0=000,1=001, 2=010, ..., 7=111) and produces an output of 1 if and only if the input is an odd number). a) Draw the truth table b) Write the function c) Simplify the function
Function f (A,B, C, D) is a function of integer greater than 0 and multiple of 3 less than 16. The input A,B,C,D is 1 or 0. a. Make the truth table b. Simplify the function. You may use Boolean Algebra or Karnaugh Map c. Sketch a combinational circuit
We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.A. Construct the truth tableB. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
1. Design a half-subtractor circuit with inputs x and y and outputs Diff and B out. The circuit subtracts the bits x - y and places the difference in D and the borrow in B out. A. Design a full-subtractor circuit with three inputs x, y, B in and two outputs Diff and B out. The circuit subtracts x - y - B in, where B in is the input borrow, B out is the output borrow, and Diff is the difference. B. Create a truth table c. Simplify the Boolean function using KMap D. þraw the logic diagram
Q4// Design a combinational circuit with three inputs, A, B, and C, and three outputs,x, y, bläi 10 and z. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two * less than the input
5. Design a logic circuit with 3-bit inputs A, B, C that produces an output W, X, Y, Z that is equal to the input + 6 (110) in binary. For example If the input is equal to 5 decimal then the output should be 5+6=11 decimal, the circuit will take all numbers in binary form and the output will also be in binary (101)B + (110)B=(1011)B
12. Construct circuits for the following expressionst a. xỹ+xy b. (x + y) +yz c. (Xz + y)z
Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?