Activities Manual for Programmable Logic Controllers
5th Edition
ISBN: 9781259679568
Author: Petruzella, Frank
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 3P
Program Plan Intro
Logic gate:
- Logic gate is an electronic circuit that is used to perform logic decisions based on the input.
- It contains one or more number of inputs and one output.
- The working of logic gate is based on the binary principle that has two states either logic 0 or logic 1.
- The output of logic gate is produced when it satisfies any of its logic conditions.
- The logic condition depends upon the type of the gates and the number of inputs.
- The primary logic gates include AND, OR, and NOT. The combinations of these gates are used to implement any of the other logic gates.
AND gate:
- The AND gate refers to a logic gate whose output will be HIGH only when all the inputs are HIGH.
- The output of AND gate will be LOW when any one of its input will be LOW.
- The symbol to represent AND gate is given below:
- The truth table for AND gate is as follows:
INPUT A | INPUT B | OUTPUT Y |
0 | 0 | 0 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 1 |
NOR gate:
- NOR gate performs the inverse operation of OR gate.
- The NOR gate refers to a logic gate whose output will be HIGH only when all the inputs are LOW.
- The output of NOR gate will be LOW when any one of its input will be HIGH.
- The symbol to represent NOR gate is given below:
- The truth table for NOR gate is as follows:
INPUT A | INPUT B | OUTPUT Y |
0 | 0 | 1 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 0 |
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3- Design the logic circuit for the following conditions and draw the
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Problem: Derive the logic expressions for a circuit that compares two unsigned numbers:
X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these
outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.
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Figure Q3
1) implement the logic circuit using 8-to-1 multiplexer.
2) implement the logic circuit using 4-to-1 multiplexer.
3) implement the logic circuit using 2-to-1 multiplexer.
Chapter 4 Solutions
Activities Manual for Programmable Logic Controllers
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- PROBLEM: Given the Logic expression X = [(A+B) + (CC) ] [(CC) + (BOD)] (a.) Draw the Logic circuit and write the OUTPUT of EACH gate in a given table below. (b.) Connect the Logic Circuit in the TINKERCADD that you have drawn and write the output in a given table below. TRUTH TABLE: A B C D 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0000 0 0 1 1 1 1arrow_forward2. Construct the truth table of a logic circuit having three inputs A, B, C, and the output Y is High(1) only in the case when at least 2 of the inputs are high(1).arrow_forward2. Write the Boolean expression of the given logic circuit as shown below. X. F =arrow_forward
- For the logic circuit given below, determine the Boolean expression for the output X, and construct the corresponding truth table.arrow_forwardQuestion 2 Write a boolean expression for the following combinational logic circuit and draw the truth table. A B. COMBINATIONAL CIRCUITS Score Blooms Designation АР b) Design a logic circuit with input signal A, control input B, and outputs X and Y to operate as follows: When B 1, output X will follow input A, and output Y will be 0. When B = 0, output X will be 0, and output Y will follow input A.arrow_forwardDevelop a logic circuit that will produce a 1 on its output only when all three inputs are 1s or when all three inputs are 0s.arrow_forward
- 1. Using the logic expression given below, draw the logic circuit using inverter (NOT gate), AND and OR gates. Draw properly and using the correct symbol. F = AB' + C'(B + D')arrow_forwardProblem 5. Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when X = 0, Y = 0, Z = 1 and X = 1, Y = 1, Z = 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit.arrow_forwardFind the logic expression for the output produced by the logic circuit given below. A Barrow_forward
- Part a Design a logic circuit using the truth table Inputs output shown. Use only basic logic gates (AND, OR, NOT). Also, the circuit should use the FEWEST number of gates and the FEWEST number of inputs to the gates. Fully label all the inputs and outputs. a b. 1 1 1 1 1. 1 1 Part b Implement a 3-input XOR gate using only a 4x1 multiplexer and an inverter. Also complete the truth table in your answer sheets with the correct labels and function solution. Fully label all inputs and outputs. Part c Design a full-adder using half-adders and A- additional logic using the half-adder shown here. Pi Giarrow_forwardWRITE THE LOGIC EQUATION CONTRUCT THE TRUTH TABLE LOGIC CIRCUIT (A) Iarrow_forward2. 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.arrow_forward
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