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Questions and Answers
What is the primary function of an encoder in the context of digital circuits?
What is the primary function of an encoder in the context of digital circuits?
- To convert multiple input lines into a smaller number of output lines. (correct)
- To amplify the signal strength of input lines.
- To convert a smaller number of input lines into a larger number of output lines.
- To regulate the voltage levels of input lines.
A combinational logic circuit has four input lines and two output lines. What type of encoder is this?
A combinational logic circuit has four input lines and two output lines. What type of encoder is this?
- A 4-to-2 encoder (correct)
- A 4-to-1 encoder
- A 1-to-4 encoder
- A 2-to-4 encoder
In digital logic, what does a priority encoder do that a simple binary encoder does not?
In digital logic, what does a priority encoder do that a simple binary encoder does not?
- It decreases the number of output lines.
- It increases the number of input lines.
- It converts analog signals to digital.
- It assigns a priority to each of the inputs. (correct)
If multiple inputs are active simultaneously, which type of encoder is required?
If multiple inputs are active simultaneously, which type of encoder is required?
How many inputs does a binary encoder with n output lines have?
How many inputs does a binary encoder with n output lines have?
What is the key limitation of a standard binary encoder when multiple inputs are active?
What is the key limitation of a standard binary encoder when multiple inputs are active?
In the context of a binary encoder, what does it mean for the input lines to be 'activated' for one possible combination of the output lines?
In the context of a binary encoder, what does it mean for the input lines to be 'activated' for one possible combination of the output lines?
Which of the following scenarios would necessitate the use of a priority encoder over a standard binary encoder?
Which of the following scenarios would necessitate the use of a priority encoder over a standard binary encoder?
Which operation does an encoder perform in relation to a decoder?
Which operation does an encoder perform in relation to a decoder?
What is the purpose of designing an interface using a binary encoder to encode 10 separate input switches?
What is the purpose of designing an interface using a binary encoder to encode 10 separate input switches?
In a decimal-to-BCD encoder, what does 'BCD' stand for?
In a decimal-to-BCD encoder, what does 'BCD' stand for?
When a decimal 3 is activated in the input of a Decimal to BCD encoder, what is its 4-bit BCD output?
When a decimal 3 is activated in the input of a Decimal to BCD encoder, what is its 4-bit BCD output?
Given a decimal-to-BCD encoder, determine the binary coded decimal (BCD) output for the decimal input '9'.
Given a decimal-to-BCD encoder, determine the binary coded decimal (BCD) output for the decimal input '9'.
What is the purpose of using a decoder in the design of a binary half-adder?
What is the purpose of using a decoder in the design of a binary half-adder?
Which binary operation does a 'half-adder' circuit perform?
Which binary operation does a 'half-adder' circuit perform?
In a half-adder circuit, what does the Carry (C) output represent?
In a half-adder circuit, what does the Carry (C) output represent?
In the context of a half-adder, what does the Sum (S) output represent?
In the context of a half-adder, what does the Sum (S) output represent?
Construct a truth table for a half-adder. What are the outputs C (carry) and S (sum) when both inputs A1 and A0 are 1?
Construct a truth table for a half-adder. What are the outputs C (carry) and S (sum) when both inputs A1 and A0 are 1?
For a half-adder with inputs A0 and A1, what are the logic equations for the carry (C) and sum (S) outputs?
For a half-adder with inputs A0 and A1, what are the logic equations for the carry (C) and sum (S) outputs?
If we have 2-inputs A0 and A1, what will be the size of the decoder used to design the half-adder?
If we have 2-inputs A0 and A1, what will be the size of the decoder used to design the half-adder?
Given a 2-to-4 decoder with inputs A0 and A1, which of the following outputs represents the term $A0 * A1$?
Given a 2-to-4 decoder with inputs A0 and A1, which of the following outputs represents the term $A0 * A1$?
What will be the boolean expression if a decoder and gates are used?
What will be the boolean expression if a decoder and gates are used?
Which component is often used to convert BCD to a format suitable for driving a 7-segment display?
Which component is often used to convert BCD to a format suitable for driving a 7-segment display?
What type of components can be used to implement boolean expressions?
What type of components can be used to implement boolean expressions?
According to the truth table, what formula represents A0?
According to the truth table, what formula represents A0?
According to the Truth Table, what is the boolean formula to represent A1?
According to the Truth Table, what is the boolean formula to represent A1?
How does a decoder contribute to the implementation of Boolean expressions?
How does a decoder contribute to the implementation of Boolean expressions?
Examine a scenario where a keypad is designed with a binary encoder. How does the encoder facilitate the keypad's functionality?
Examine a scenario where a keypad is designed with a binary encoder. How does the encoder facilitate the keypad's functionality?
In the context of binary encoders, what does the term '$2^n$' represent in relation to the number of input and output lines?
In the context of binary encoders, what does the term '$2^n$' represent in relation to the number of input and output lines?
Consider the binary encoder circuit diagram. What do the OR gates accomplish in the conversion process?
Consider the binary encoder circuit diagram. What do the OR gates accomplish in the conversion process?
How can a 2-to-4 decoder, in association with other logic gates, be utilized in creating a half-adder digital circuit?
How can a 2-to-4 decoder, in association with other logic gates, be utilized in creating a half-adder digital circuit?
Given the equations that relate to the decimal-to-BCD encoder, what is the meaning of B = 4 + 5 + 6 + 7?
Given the equations that relate to the decimal-to-BCD encoder, what is the meaning of B = 4 + 5 + 6 + 7?
A BCD-to-7-segment display decoder is used. How does this facilitate the displaying of numbers?
A BCD-to-7-segment display decoder is used. How does this facilitate the displaying of numbers?
In a 2-to-4 decoder being used to implement a half-adder, how are the AND and XOR functions accomplished?
In a 2-to-4 decoder being used to implement a half-adder, how are the AND and XOR functions accomplished?
In computer architecture, what is the role of encoders and decoders in memory addressing?
In computer architecture, what is the role of encoders and decoders in memory addressing?
Consider a decimal-to-BCD encoder used in a digital calculator. What is the purpose of this encoder within the calculator's architecture?
Consider a decimal-to-BCD encoder used in a digital calculator. What is the purpose of this encoder within the calculator's architecture?
If multiple inputs are activated, what circuit can be used?
If multiple inputs are activated, what circuit can be used?
Flashcards
What is an encoder?
What is an encoder?
A combinational logic circuit that converts multiple input lines into a smaller number of output lines.
What is a binary encoder?
What is a binary encoder?
This type converts 2^n inputs into an n-bit binary code.
What is a priority encoder?
What is a priority encoder?
This type assigns priority to the inputs.
What is a decoder?
What is a decoder?
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How are the input lines activated?
How are the input lines activated?
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What is a truth table for an encoder?
What is a truth table for an encoder?
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What is a limitation of binary encoders?
What is a limitation of binary encoders?
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What is a keypad encoder application?
What is a keypad encoder application?
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What does a decimal-to-BCD encoder do?
What does a decimal-to-BCD encoder do?
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What is a half adder?
What is a half adder?
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What is Sum (S)?
What is Sum (S)?
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What is Carry(C)
What is Carry(C)
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What is the truth table for a half-adder?
What is the truth table for a half-adder?
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What is a 7-segment display?
What is a 7-segment display?
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Study Notes
- CSIT 230 is a computer systems course at Montclair State University.
- The instructor is Dr. Prince Waqas Khan.
Binary Encoder-Decoder
- Encoders are combinational logic circuits.
- Encoders convert multiple input lines into fewer output lines.
- Each input is represented by a unique binary code.
- There are different types of encoders, including Binary and Priority Encoders.
- A Binary Encoder converts 2n inputs into an n-bit binary code; an example is a 4-to-2 encoder.
- A Priority Encoder assigns priority to inputs and outputs the code of the highest-priority active input.
- An encoder performs the inverse operation of a decoder.
- Encoders encode binary information into a more compact binary form
- A binary encoder converts 2n input lines into n output lines.
- Input lines for Encoders are activated for only one possible combination of the output lines.
- In a typical block diagram 4 inputs are converted to 2 outputs
- Encoders take n inputs to create m=2n outputs.
- In binary encoders, only one input can be active at any time.
- If more than one input needs activation, a priority encoder is required.
Truth Table & Logic Expressions
- For a binary encoder, given inputs D3, D2, D1, and D0, the outputs are A1 and A0.
- If D0 is 1, then A1 and A0 are 0.
- If D1 is 1, then A1 is 0 and A0 is 1.
- If D2 is 1, then A1 is 1 and A0 is 0.
- If D3 is 1, then A1 and A0 are 1.
- The Logic equations for the encoder, and given the inputs D1 and D3, then A0 = D1 + D3
- Given inputs D2 and D3, then A1 = D2 + D3
- The circuit diagram shows OR gates combining D1+D3 to produce A0, and D2+D3 to produce A1.
Specific applications of Binary Encoders
- Keypads have interfaces designed to encode separate input switches.
- Keypads output a binary value corresponding to each input switch.
- An example includes designing an interface to encode 10 separate input switches to output the binary value corresponding to each input switch
Decimal to BCD Encoder
- Decimal to BCD Encoders' Truth Table contains decimal numbers 0 - 9 as input, and a BCD output
- When an input is activated, encoder output is the 4-bit binary equivalent of the decimal number.
- The equations for conversion are: A = 8+9, B = 4+5+6+7, C = 2+3+6+7, D = 1+3+5+7+9
Decoder Application - Half Adder
- Using the decoder, design with OR gates.
- A Half Adder is a basic digital circuit that performs binary addition of 2 single-bit binary numbers.
- Its inputs are A and B (both 1 bit).
- The outputs include Sum (S), which represents the least significant bit (LSB) of the addition, and Carry (C), which represents the most significant bit (MSB).
Truth Table & Logic Expressions for Half Adder
- Given the inputs A1 and A0, the outputs are C and S
- If A1 and A0 are both 0, then C and S are 0
- If A1 is 0, while A0 is 1, then C is 0 and S is 1
- If A1 is 1, while A0 is 0, then C is 0 and S is 1
- If A1 and A0 are both 1, then C is 1 and S is 0
- With the use of Boolean algebra, the equations can be expressed as: C = A0 A1, and S = A0 A1 + A0 A1
- The size of the decoder is 2 x 4.
- Boolean expressions can be implemented with Decoders and Gates.
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