Programmable Logic Controllers
5th Edition
ISBN: 9780073373843
Author: Frank D. Petruzella
Publisher: McGraw-Hill Education
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Chapter 4, Problem 1P
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 and the combinations of these gates are used to implement any of the other logic gates.
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The NAND logic gate is universal, meaning that using gate alone,
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(b) AND(x, y) =
(c) OR(x, y) =
The following logic circuit has four inputs A, B, C, and D. Write the Boolean
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Design a circuit that implements function p below using AND, OR, and NOT gates. DO NOT change the form of the equation.
Chapter 4 Solutions
Programmable Logic Controllers
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- Gate Universality We know that the NAND gate is universal, so all other gates can be built using just NAND gates. We also mentioned that the NOR gate is universal, and can serve the same purpose. In this question we will look at NOR gates. Draw the AND operation as a circuit using a minimal number of NOR gates. Check your design in (a) by showing the full truth table for it. Draw the OR operation as a circuit using a minimal number of NOR gates. Check your design in (c) by showing the full truth table for it. Draw the NOT operation as a circuit using a minimal number of NOR gates. Check your design in (e) by showing the full truth table for it.arrow_forwardM.I Minimized expression X = Draw the logic diagram of this simplified circuit using AND/OR gates. Implement the circuit developed in Step 14 with CMOS NOR gates.arrow_forward1) Givern the logic expression: F(A,B,C,D) = Em (0, 2, 5, 7, 8, 9, 13, 15) Use K-Map to simplify the expressions in SOP form and POS form and implement your circuit using any gates of your choice. Draw the K-map, the logic diagram and write down your expression neatly.arrow_forward
- Use 2-inputs NAND gates only and Boolean algebra theorems to design a logic circuit that controls safety system of a residential building. The logic circuit's inputs are connected to building's smoke detectors (A, B &C). The logic circuit will trigger a Fire Fighting System whenever 2 (or more) smoke detectors are activated.arrow_forwardReduce the following equation using the Karnaugh map, then draw the final logic circuit of the miniature equation. P (a, b, c, d) = e (0,1,4,5,6,7,8,9)arrow_forwardPart III: Combinational Logic Design Question Given F = Im (1, 2, 6, 7) a) Write the corresponding truth table b) Implement the circuit of F using a 4-input multiplexer. c) Implement the circuit of F using a 2-input multiplexer and some logic gatesarrow_forward
- a) A digital logic cireuit is to be design with three inputs, A, B, and C, is tested for all combinations of inputs. The output is "1" when exactly one of the inputs is "I". Obtain the Sum of Product (SOP) function of the circuit Implement digital logic circuit using the SOP function obtained in (a).arrow_forwardBuild the logic circuit, using AND and OR gates and INVERTERS. Z = [A + B + C'DE ']' + B'CD ' Also, Evaluate the output of the circuit for A = B = D =0 and C= E = 1 (Hint: Use Z equation and substitute the variables with the numerical inputs given and do your analysis)arrow_forwardWhich of the following K-Maps represents the given logic circuit? C D Y C • B - D.arrow_forward
- Design a three-input combinational logic circuit for F(A,B,C)= )7,6,4,2,0(m. Simplify the output expression of F. You may choose to use either Boolean algebraor Karnaugh map techniques to simplify the design. Finally, implement the design circuit from the final output expression of Fusing only AND, OR and NOT logic gates.arrow_forwardFor each of the following maps, group a minimum number of terms which will cover all of the 1's. Also, write down the final logic expressions for f1 and f2. ab ab cd 00 01 11 10 cd 00 01 11 10 00 1 1 00 1 01 1 1 1 01 1 11 1 1 11 1 1 1 1 10 1 10 1 1 fi f2 f1 = f2=arrow_forwardSOw from the pight. The length of the train < X, Ond x distonce between. Design the logic circuit the mokes the gote work.(Asynchranous logie design) 1) The train only comes.arrow_forward
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