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Questions and Answers
What is the primary function of a decoder?
What is the primary function of a decoder?
- To amplify signals in a circuit.
- To store data temporarily.
- To encrypt data for secure transmission.
- To convert coded input into decoded output. (correct)
A binary decoder activates multiple outputs per input by design.
A binary decoder activates multiple outputs per input by design.
False (B)
What is the relationship between the number of input bits (n) and output lines (m) in a binary decoder?
What is the relationship between the number of input bits (n) and output lines (m) in a binary decoder?
- $m = 2^n$ (correct)
- $m = 2n$
- $m = n/2$
- $m = n^2$
In a binary decoder, only one output is ________ for each input code.
In a binary decoder, only one output is ________ for each input code.
Match the binary decoder input (A1A0) with the correct output (D0, D1, D2, D3) based on the truth table:
Match the binary decoder input (A1A0) with the correct output (D0, D1, D2, D3) based on the truth table:
Given a 2-input binary decoder (A1, A0), which logic equation correctly represents the output D2?
Given a 2-input binary decoder (A1, A0), which logic equation correctly represents the output D2?
An 'enable' input on a decoder acts as a fixed, non-adjustable power source for the chip.
An 'enable' input on a decoder acts as a fixed, non-adjustable power source for the chip.
If a 2-to-4 line decoder has an enable input E, what is the output when E = 0, A1 = X, and A0 = X (where X means 'don't care')?
If a 2-to-4 line decoder has an enable input E, what is the output when E = 0, A1 = X, and A0 = X (where X means 'don't care')?
In a decoder with an enable input, what is the purpose of the enable signal?
In a decoder with an enable input, what is the purpose of the enable signal?
Which of the following is NOT a typical application of decoders in computer systems?
Which of the following is NOT a typical application of decoders in computer systems?
In memory addressing, decoders are used to select specific memory cells or chips based on address lines.
In memory addressing, decoders are used to select specific memory cells or chips based on address lines.
State one application of decoders in display systems.
State one application of decoders in display systems.
Why are 2D decoders preferred over 1D decoders in large memory systems?
Why are 2D decoders preferred over 1D decoders in large memory systems?
What type of input does a decoder convert?
What type of input does a decoder convert?
Explain briefly how decoders are utilized in control logic.
Explain briefly how decoders are utilized in control logic.
A 3-to-8 decoder has 3 output lines and 8 input lines.
A 3-to-8 decoder has 3 output lines and 8 input lines.
In the context of instruction decoding in CPUs, what role do decoders play?
In the context of instruction decoding in CPUs, what role do decoders play?
Decoders can implement complex logic functions by activating specific ________ based on input combinations.
Decoders can implement complex logic functions by activating specific ________ based on input combinations.
What is the primary advantage of using a 2D memory-decoder configuration?
What is the primary advantage of using a 2D memory-decoder configuration?
A decoder tree can be designed using multiple 2-4 line decoders to create a larger decoder, such as a 3-8 line decoder.
A decoder tree can be designed using multiple 2-4 line decoders to create a larger decoder, such as a 3-8 line decoder.
In a 3-8 line decoder constructed using 2-4 line decoders, what role does the third input (A2) typically play?
In a 3-8 line decoder constructed using 2-4 line decoders, what role does the third input (A2) typically play?
Provide one example of how decoders are used in CPUs.
Provide one example of how decoders are used in CPUs.
Which statement is true regarding 1D and 2D memory decoders?
Which statement is true regarding 1D and 2D memory decoders?
The 'enable input' in a binary decoder is only used to increase the voltage supplied to the chip.
The 'enable input' in a binary decoder is only used to increase the voltage supplied to the chip.
In combinational logic circuits, what benefit do decoders provide?
In combinational logic circuits, what benefit do decoders provide?
What does a 3-to-8 decoder consist of?
What does a 3-to-8 decoder consist of?
A decoder circuit decodes encoded data, enabling specific ________ lines based on the binary input.
A decoder circuit decodes encoded data, enabling specific ________ lines based on the binary input.
What is the functionality of the enable input E in decoding?
What is the functionality of the enable input E in decoding?
One of the applications of the decoder in computer science is memory addressing.
One of the applications of the decoder in computer science is memory addressing.
In the binary decoder, let's say there is 'n' amount of outputs, which of the following equations is correct?
In the binary decoder, let's say there is 'n' amount of outputs, which of the following equations is correct?
In display systems, what is the primary function of a decoder?
In display systems, what is the primary function of a decoder?
From this list of options, choose which one is not an application?
From this list of options, choose which one is not an application?
A binary decoder is designed (by initial setup) to activate multiple outputs per input.
A binary decoder is designed (by initial setup) to activate multiple outputs per input.
How is an enable input utilized in decoder design?
How is an enable input utilized in decoder design?
What is the one output that the binary decoder has?
What is the one output that the binary decoder has?
Decoders aid in creating ________ signals for various parts of digital systems based on binary inputs.
Decoders aid in creating ________ signals for various parts of digital systems based on binary inputs.
Let's match the following inputs for the truth table:
(Inputs: A1, A0)
Let's match the following inputs for the truth table: (Inputs: A1, A0)
Lets say there is a decoder that is a '3-8. What does the first number (3) represent?
Lets say there is a decoder that is a '3-8. What does the first number (3) represent?
In the 3-8 Binary Decoder, it can be represented, without issues, multiple high outputs.
In the 3-8 Binary Decoder, it can be represented, without issues, multiple high outputs.
How are memory systems selected within address code of memory lines?
How are memory systems selected within address code of memory lines?
Please give the formula as the ratio of input vs output for bit decoder:
Please give the formula as the ratio of input vs output for bit decoder:
_____ Deocders are simpler but less scalable and are more efficient for large memory systems.
_____ Deocders are simpler but less scalable and are more efficient for large memory systems.
Flashcards
What is a Decoder?
What is a Decoder?
A combinational logic circuit that transforms coded input to decoded output.
Decoder Applications?
Decoder Applications?
Memory Addressing, Display Systems, and Control Logic
What is a Binary Decoder?
What is a Binary Decoder?
A special logic circuit that converts an n-bit binary input code into m = 2^n output lines, such that each output will be activated for only one possible combination of the inputs.
Binary Decoder Outputs?
Binary Decoder Outputs?
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What is a Decoder's 'Enable'?
What is a Decoder's 'Enable'?
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How are Decoders Used in Memory Addressing?
How are Decoders Used in Memory Addressing?
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1D vs 2D Decoders?
1D vs 2D Decoders?
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What is Decoder Tree?
What is Decoder Tree?
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Study Notes
Decoder
- A decoder is a combinational logic circuit that converts coded input to decoded output
- Decodes encoded data
- Enables specific output lines based on the binary input
Applications
- Memory addressing
- Display systems
- Control logic in digital systems
Binary Decoder
- A binary decoder is a special logic circuit
- Converts an n-bit binary input code into m = 2^n output lines
Binary Decoder Activation
- Each output activates for only one possible combination of the inputs
- Activates only one output per input by design
- Activating multiple outputs requires circuit modifications
Decoder Block Diagram
- Has n inputs and m outputs
- An n-m line decoder where m = 2^n
Binary Decoder Truth Table
- Only one output (diagonal) is high (1) for each input code
- Can set up a truth table for a 2 input decoder
Binary Decoder: Truth table
- A truth table represents the relationship between inputs and outputs
Binary Decoder: Logic Equations
- Logic equations define the mathematical relationship between the decoder's inputs and outputs
Binary Decoder: Circuit Diagram
- Visual representation of the decoder's internal connections and logic gates
Binary Decoder: 2-4 Line Decoder
- It will decode two inputs into four outputs
Decoder with an enable input
- It design allows the decoder to be disabled when needed
Enable Control Signal
- A control signal determines whether the decoder is active or inactive
- Acts as a "switch" to turn the decoder's functionality ON or OFF
- Allows for better control and integration of the decoder in larger circuits
Decoder with Enable: Truth Table
- A table mapping inputs, including the enable signal, to outputs
Decoder with Enable: Logic Equations
- Equations that define the decoder's output based on its inputs and enable signal
Decoder with Enable: Circuit Diagram
- It graphically represents the decoder's logic gates and connections, including the enable input
Decoder with Enable: Functionality
- If E = 1, the decoder is enabled
- If E = 0, the decoder is disabled
Applications of Decoders
Memory Addressing
- Used in memory systems to select specific memory cells or chips based on address lines
- Example: A 3-to-8 decoder can select one of 8 memory chips using 3 address lines.
Display Systems
- Used in 7-segment displays to convert binary inputs into signals that light up specific segments to display numbers or characters
Control Logic:
- Help in generating control signals for various parts of a digital system based on binary inputs
Instruction Decoding in CPUs:
- Interprets binary instructions to activate specific control signals for executing operations in microprocessors
Combinational Logic Circuits
- Decoders can implement complex logic functions by activating specific outputs based on input combinations
1D Memory-Decoder vs 2D Memory-Decoder
- 1D Decoders are simpler but less scalable
- 2D Decoders are more efficient for large memory systems by splitting addressing into rows and columns
Decoder Tree
- One can design a 3-8 line decoder, using 2-4 line decoders
2-4 Decoders
- There are two inputs (2^0 and 2^1) and the enable input
- Will output D0 to D3
5-32 line Decoder
- Has inputs A, B, C, D, En and E
- Connected to 3-to-8 decoders and 2-to-4 decoders
- Will output Y0 to Y31
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