Please answer this. Thanks A majority circuit is a combinational circuit whose output is equal to 1 if the inputvariable have more l's than O's, the output is 0 otherwise. Design a 5-input majority1.circuit.Draw a truth table with complete input combinations with the corresponding output.Derive the Boolean Expression of the output.. Simplify the Boolean expression if needed.d. Implement the simplified output using gates.Implement the simplified output using only applicable universal gate.а.b.e.You are given the responsibility of building an automatic voting machine. Assumethat there are 2 candidates. Assign 1 for Candidate 1 and O for Candidate 2. Also,2.there are 4 voters where each gets a single vote. The candidate with most votes wins.Draw a truth table with complete input combinations with the corresponding output.Derive the Boolean Expression of the output.Simplify the Boolean expression if needed.d. Implement the simplified output using gates.Implement the simplified output using only applicable universal gate.а.b.C.e.

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Answered: 1. A majority circuit is a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Use muxes to implement various gates. In each circuit, draw the specified number of 2:1 muxes and implement the given boolean expression. A mux input can be A, B, 0, 1, or the output of another device (e.g., another mux or a decoder). Be sure to label the S, 0, and 1 inputs of every mux. a. Use one 2:1 mux to implement NOT A (i.e. A') b. Use two 2:1 muxes to implement A NAND B c. Use one 2:4 decoder and one 2:1 mux to implement A XOR B Note that the 2-bit values on the right are arranged as B1 B0 (that is, the bottom wire corresponds to the first, not the second, bit).
Simplify the following Boolean expressions: a) Complete all the steps to simplify: xy + x’y + y’(y’ + z) to 1. b) Complete all the steps to simplify: (ab’. (a + c))’+ a’b . (a +b’ + c’)’ to a’ + b.
A majority gate is a digital circuit whose output is 1 only if the majority of inputs are 1 otherwise the output is 0 for all other cases. Design a combinational logic circuit for 4-input majority gate. a. Construct the Truth table. b. Minimize POS Expression using K MAP c. Draw the combinational circuit for minimize POS
Using the laws of boolean algebra simplify these expressions and list the law(s) used to justify each step. And show a truth table for the original expression and verify that your final expression satisfies the same truth table. a. A' + A'B'CD' + A'B'C'D' + AB'C' + AB'CD' + ABD + BC'D b. A'B' + A'BC' + (A + C')'
Simplify the following Boolean expression to a minimum number of literals and draw the logic diagrams of the circuits that implement the original and the simplified expressions: ( xyz + bx’ + xyz’ ) ( xd + x’d )
1. A combinational circuit with two inputs X, Y and Z, and three outputs, A, B and C. when the binary input is 0, 1, 2, 3, the binary output 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. a) Obtain the truth table. b) Find the simplified output function in sum of products. c) Draw the final combinational logic circuit? 2. Figure 4-66 shows a diagram for an automobile alarm circuit used to detect certain undesirable conditions. The three switches are used to Door Open osed Alarm Ignition Logic circuit ON OFF Lights ON OFF indicate the status of the door by the driver's seat, the ignition, and the headlights, respectively. Design the logic circuit with these three switches as inputs so that the alarm will be activated whenever either of the following conditions exists: • The headlights are on while the ignition is off. • The door is open while the ignition is on.
5. Circuit Problem: Convert each of the following circuits to a Boolean expression. Then simplify the expression, and draw the corresponding simplified circuit. (a) (b) a b' a' b —b — с' a a' "CHHE (c) a b
Simplify the given Boolean expressions, using four-variable map. Provide clear solution. A'B'C'D' + AC'D' + B'CD' + A'BCD + BC'D
6- Simplify the Boolean expressions given below using a 4-variable K-map.
4. Simplify the following boolean expression using boolean identities:(A + B)(A' + C)(B' + C) 5. Design a logical circuit that takes three inputs (A, B, C) and produces an output of 1 when the input is 001, 011, 101, or 111. The circuit should be designed in sum of product form using AND, OR, and NOT gates.
For the following question, you need to create a truth table, write the Boolean expression for each output based on the truth table, use K-map to simplify the expression if possible, and draw the logic diagram using AND, OR, NOT gate only. 1. Design a 3-bit shifter. a. A0, A1, A2, and S as inputs b. If S=0, then shift one bit to the left and add 0 to the last bit c. If S=1, then shift one bit to the right and add 0 to the first bit d. Y0, Y1, and Y2 as outputs
Use the following state diagram and create the state table for a synchronous to detect the sequence. The circuit has a single input, x, and a single output z. The output is logic-1 whenever the input sequence 1001 is detected, logic-0 otherwise. Note that overlapping sequences are allowed, Create the initial state table, and the complete state table. Write the equations for all the state variables and the output z. 1 so S1 S2 S3 Z=0 Z=1 State diagram of 1001 sequence recognizer

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