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 (LOOSE PA
- 2. Write the Boolean expression of the given logic circuit as shown below. X. F =arrow_forwardDraw the logic circuit and find its truth table for the logic function F = (A+B').(B+AC)arrow_forwardFrom your understanding of the logic circuit, draw and complete the truth table for the Boolean function F.arrow_forward
- Problem 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_forwardGiven the following circuit, do the following:1. Write the Boolean expression, for the output of each gate, of the circuit shown.2. Simplify the expression obtained in numeral 1, using the laws, rules and/or theorems of Boole's algebra.3. Build the truth table for the circuit.4. Make the logic circuit of the most simplified expression.5. Obtain the Karnaugh map.arrow_forwardFor the Boolean functionF = xy / z + x / y / z + w / xy + wx / y + wxy(a) Obtain the truth table of F.(b) Draw the logic diagram, using the original Boolean expression.(c) Use Boolean algebra to simplify the function to a minimum number of literals.(d) Draw the logic diagram from the simplified expression, and compare the totalnumber of gates with the diagram of part (b).arrow_forward
- 6. Given the function G=(A'+B+C)(A'+B'+C') (A+B+C) a. Derive the truth table b. Convert to the AND-OR form c. Draw the logic circuit diagram of the simplified AND-OR form d. Draw the logic circuit diagram of the simplified OR-AND formarrow_forwardConsider the following logic circuit. A B Do - F a) Write the Boolean function F(A, B, C). b) Simplify the function using Boolean algebra. c) Draw an equivalent circuit with only two gates. d) Draw the truth table of F.arrow_forwardA logic circuit has four inputs, A, B, C, and D and its output (E) will be HIGH (i.e. 1) only when A least one of the other inputs are HIGH. a. Construct the truth table. b. Write Boolean expression and simplify (if possible) the expression using Karnaugh Map. c. Draw the logic circuit.arrow_forward
- 2. Simplify the Karnaugh maps and draw the logic circuit.arrow_forwardConsider an electronic system for traffic signals that uses logic gates for designing a traffic signal system for a signal on a highway. The system uses A, B and C as input. And the system will work when the output G is 1. Write the truth table for the given logic circuit. Carrow_forwardDraw a logic Circuit Before simplifying and Simplify the equation with Boolean algebraarrow_forward
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