Concept explainers
a.
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.
AND gate:
The two-input AND gate is a logic gate, whose output will be high when all the inputs are high and whose output will be low when any one of the inputs is low.
OR gate:
The OR gate is a logic gate, whose output will be high when any of the inputs are high and whose output will be low when all the inputs are low.
NOT function:
The NOT gate is a logic gate; whose output will be high when the input is low and whose output will be low when the input is high. In other words, NOT gate always complement or invert its output.
NAND gate:
The NAND gate performs the reverse operation of AND gate. The two-input NAND gate is a logic gate, whose output will be high if any of the inputs are low and whose output will be low when all the inputs are high.
NOR gate:
The NOR gate performs the reverse operation of OR gate. The two-input NOR gate is a logic gate, whose output will be high if both the inputs are low and whose output will be low when any one of the inputs is high.
b.
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.
AND gate:
The two-input AND gate is a logic gate, whose output will be high when all the inputs are high and whose output will be low when any one of the inputs is low.
OR gate:
The OR gate is a logic gate, whose output will be high when any of the inputs are high and whose output will be low when all the inputs are low.
NOT function:
The NOT gate is a logic gate; whose output will be high when the input is low and whose output will be low when the input is high. In other words, NOT gate always complement or invert its output.
NAND gate:
The NAND gate performs the reverse operation of AND gate.
NOR gate:
The NOR gate performs the reverse operation of OR gate.
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Chapter 4 Solutions
PROGRAMMABLE LOGIC CONTROLLERS-ACCESS
- A. Convert the following logic gate circuits into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram:arrow_forwardSimplify the logic circuit below using boolean algebra laws and rules and draw the simplified logic circuit.arrow_forwardFor the Boolean function F = x y ′ z + x ′ y ′ z + w ′ x y + w x ′ y + w x y. Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part "For the Boolean function F = x y ′ z + x ′ y ′ z + w ′ x y + w x ′ y + w x y. Draw the logic diagram, using the original Boolean expression.".arrow_forward
- e. What will be the output of the logic circuit if A = 0, B = 0, C = 1, D = 1.arrow_forwardGiven the Boolean function: F = xy' + z'y'z + xyz e. Draw the logic diagram from the simplified expression and compare the total number of gates wilh the diagram of part (b).arrow_forwardDraw the logic diagram of the digital circuit specified by the following Verilog description:arrow_forward
- A) Determine the Boolean equation B) Draw an equivalent ladder logic program for the gate circuit.arrow_forwardDraw a logic diagram of your own provided that it has at least three inputs and three gates (NOTs are not counted). Write the Boolean expression (function) and generate the truth table for this circuit.arrow_forwardIdentify each logic gate and the input and output for each logic gate in the following diagramWrite the output X, Y and Zarrow_forward
- Truth Table A B X 0 0 0 0 1 0 1 0 1 1 1 1 Reconstruct the circuit above using only NAND gates. Include Boolean algebra, truth tables, and logic diagrams for the circuit reconstructed with only NAND gates. 3-1) Boolean algebra expression Draw the reconstructed circuit and logic diagram here (only NAND gates)arrow_forwardsubject: Digital Logic &Design Q: Draw the and-or logic circuit using the input (A, B, C) and output (X) waveforms inFigure 01.arrow_forwardProvide state table for following state diagram, and design the mealy machine circuit diagram.arrow_forward
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