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What is the primary function of a multiplexer?
What is the primary function of a multiplexer?
A demultiplexer can take information from multiple inputs and transmit it over a single output line.
A demultiplexer can take information from multiple inputs and transmit it over a single output line.
False
What is an encoder?
What is an encoder?
A digital circuit that converts an active input signal into a coded output signal.
The process of taking information from one input and transmitting it over several output lines is called __________.
The process of taking information from one input and transmitting it over several output lines is called __________.
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Match the following circuits with their primary function:
Match the following circuits with their primary function:
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Which of the following is NOT a type of logic gate?
Which of the following is NOT a type of logic gate?
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The NAND gate is an example of a universal gate.
The NAND gate is an example of a universal gate.
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What is the output of an AND gate when both inputs are high (1)?
What is the output of an AND gate when both inputs are high (1)?
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The output of an OR gate with inputs A = 0 and B = 1 is _____
The output of an OR gate with inputs A = 0 and B = 1 is _____
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Match each logic gate with its corresponding function:
Match each logic gate with its corresponding function:
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What is the function of the NOT gate?
What is the function of the NOT gate?
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The output of an OR gate is 0 when all inputs are 1.
The output of an OR gate is 0 when all inputs are 1.
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Provide the expression for the output of an OR gate with three inputs A, B, and C.
Provide the expression for the output of an OR gate with three inputs A, B, and C.
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Which logical operation is described by the expression Y = AB?
Which logical operation is described by the expression Y = AB?
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The output of a NOR gate is HIGH only when both inputs are LOW.
The output of a NOR gate is HIGH only when both inputs are LOW.
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What are the two values represented in Boolean Algebra?
What are the two values represented in Boolean Algebra?
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In a two-input Ex-OR gate, the output is HIGH when ___ inputs are HIGH.
In a two-input Ex-OR gate, the output is HIGH when ___ inputs are HIGH.
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Match the following Boolean operators with their descriptions:
Match the following Boolean operators with their descriptions:
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What is the result of applying DeMorgan's law to the expression (A+B)'?
What is the result of applying DeMorgan's law to the expression (A+B)'?
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An AND gate will output a LOW state if at least one of its inputs is LOW.
An AND gate will output a LOW state if at least one of its inputs is LOW.
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What is the output of a NAND gate when both inputs are HIGH?
What is the output of a NAND gate when both inputs are HIGH?
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What is the purpose of K-map simplification?
What is the purpose of K-map simplification?
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Combinational circuits always include memory elements.
Combinational circuits always include memory elements.
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What is the sum-of-products form in Boolean algebra?
What is the sum-of-products form in Boolean algebra?
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A ____ is a circuit that selects data from multiple inputs and directs it to a single output.
A ____ is a circuit that selects data from multiple inputs and directs it to a single output.
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Match the following combinational circuits with their functions:
Match the following combinational circuits with their functions:
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In a K-map for two variables, how many cells are present?
In a K-map for two variables, how many cells are present?
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The product of sums is a method used in K-map simplification.
The product of sums is a method used in K-map simplification.
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What is the primary role of an encoder in combinational circuits?
What is the primary role of an encoder in combinational circuits?
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What is the primary function of a decoder in digital systems?
What is the primary function of a decoder in digital systems?
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A flip-flop can store more than one bit of information.
A flip-flop can store more than one bit of information.
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What type of decoder is described with three inputs and eight outputs?
What type of decoder is described with three inputs and eight outputs?
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A flip-flop is also known as a __________.
A flip-flop is also known as a __________.
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Match the types of flip-flops with their descriptions:
Match the types of flip-flops with their descriptions:
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Which type of flip-flop is specifically designed to delay its input?
Which type of flip-flop is specifically designed to delay its input?
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In a decoder, the number of outputs is equal to the number of inputs.
In a decoder, the number of outputs is equal to the number of inputs.
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List one application of decoders in digital systems.
List one application of decoders in digital systems.
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What happens when both S and R inputs are 0 in an S-R Flip Flop?
What happens when both S and R inputs are 0 in an S-R Flip Flop?
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In a D Flip Flop, the D input directly controls the reset (R) input.
In a D Flip Flop, the D input directly controls the reset (R) input.
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What is the main application of JK Flip Flops?
What is the main application of JK Flip Flops?
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The T Flip Flop toggles its output with each _____ pulse.
The T Flip Flop toggles its output with each _____ pulse.
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Match the flip flops to their characteristics:
Match the flip flops to their characteristics:
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Which condition is considered forbidden for the S-R Flip Flop?
Which condition is considered forbidden for the S-R Flip Flop?
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The output of a JK Flip Flop remains unaffected when both inputs are 1.
The output of a JK Flip Flop remains unaffected when both inputs are 1.
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What state does a D Flip Flop switch to when the D input is 0?
What state does a D Flip Flop switch to when the D input is 0?
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Study Notes
Digital Logic Circuits
- Digital logic circuits use electronic circuits to make logical decisions
- Common logic gates include AND, OR, and NOT gates
Logic Gates
- Logic gates are electronic circuits that make logical decisions
- The most common gates are AND, OR, and NOT gates
- NAND and NOR gates are universal gates; they can be used to create any other logic gate
- Exclusive OR (XOR) is another type of logic gate, which can be constructed using basic gates (AND, OR, NOT)
OR Gate
- The OR gate performs logical addition (OR function)
- It has two or more inputs and only one output
- The output is 1 if any of the inputs are 1
- The OR function can be expressed as $Y= A+B+C+D+...$
AND Gate
- The AND gate performs logical multiplication (AND function)
- It has two or more inputs and one output
- The output is 1 only if all the inputs are 1
- The AND operation is denoted by a dot (.)
NOT Gate
- The NOT gate performs logical inversion or complementation
- It has one input and one output
- The output is the opposite of the input
NAND Gate
- A NAND gate is a NOT-AND gate
- It has two or more inputs and one output
- The output is 0 if all the inputs are 1, otherwise it is 1
NOR Gate
- A NOR gate is a NOT-OR gate
- It has two or more inputs and one output
- The output is 1 if none of the inputs are 1, otherwise it is 0
Exclusive-OR (EX-OR) Gate
- An EX-OR gate has two or more inputs and one output
- The output is 1 if the inputs have different values
- The output is 0 if the inputs have the same value
Boolean Algebra
-
Boolean algebra uses binary values (True/False or 0/1)
-
The circuits used in computers are built around two-state operations
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The circuits are called logic circuits
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The basic operators in Boolean algebra are:
- OR (logical addition)
- AND (logical multiplication)
- NOT (logical negation)
K-Map Simplification
- K-maps can be used for simplifying logic expressions
Combinational Circuits
- Combinational logic circuits have outputs that depend on the combination of the inputs at any given time
- Multiplexers, de-multiplexers, encoders, and decoders are types of combinational circuits
Multiplexers
- Multiplexers select one input from several inputs using select signals and transmit it to a single output line
- Multiplexers are also known as data selectors
De-multiplexers
- De-multiplexers take one input and transmit it to one of several outputs
Encoders
- Encoders transform an active input signal into a coded output signal
- Encoders perform the inverse operation of a decoder
Decoders
- Decoders perform the inverse operation of a multiplexer
- Decoders activate one specific output line based on the input combination
Flip-Flops
- Flip-flops are the simplest types of sequential circuits, which use memory for storing one bit of information
- Flip-flops are also known as bistable multivibrators, latches, or toggles
Types of Flip-Flops
- S-R Flip-flop (Set/Reset)
- D Flip-flop (Delay/Data)
- J-K Flip-flop
- T Flip-flop (Toggle)
Sequential Circuits
- Sequential circuits remember past inputs and circuit state
- Outputs from the system are fed back in as new inputs
- Storage elements in sequential circuits are called memory
Synchronous Sequential Circuits
- Flip-flops are used as state memory
- Flip-flops receive inputs from combinational circuits and a clock signal
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Description
Test your knowledge on the functions and principles of logic gates and multiplexers with this engaging quiz. Cover various topics including AND, OR, and NOT gates, as well as multiplexers and demultiplexers. Perfect for students in electronics or computer science.