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Define the logic family properties: (i) fan in (ii) propagation delay (iii) power dissipation.
Define the logic family properties: (i) fan in (ii) propagation delay (iii) power dissipation.
The logic family properties are as follows: (i) Fan in: It refers to the number of inputs that a gate can accept. (ii) Propagation delay: It is the time taken for the output of a gate to stabilize after the input has changed. (iii) Power dissipation: It is the amount of power consumed by a gate during its operation.
Why are NAND and NOR gates called universal gates? Explain with an example.
Why are NAND and NOR gates called universal gates? Explain with an example.
NAND and NOR gates are called universal gates because they can be used to implement any logic function. They can be used to create all the basic gates (AND, OR, NOT) as well as any complex logic function. For example, by using NAND gates, we can create an OR gate by connecting the inputs of the NAND gate to the inputs of the OR gate and connecting the output of the NAND gate to the input of a NOT gate.
Explain the concept of a half subtractor with a logic circuit.
Explain the concept of a half subtractor with a logic circuit.
A half subtractor is a combinational circuit that performs subtraction of two single-bit binary numbers A and B. It has two outputs: the difference (D) and the borrow (B). The logic circuit of a half subtractor consists of two XOR gates and one AND gate. The XOR gates perform the bitwise subtraction, while the AND gate generates the borrow output. The truth table of a half subtractor is as follows: A B D B 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0
Convert the number (62)10 to binary and octal.
Convert the number (62)10 to binary and octal.
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Minimize the boolean expression using K-map: f (A, B, C, D) = ∑m (0, 1, 5, 6, 7, 8, 9) + d(10, 11, 12, 13, 14, 15)
Minimize the boolean expression using K-map: f (A, B, C, D) = ∑m (0, 1, 5, 6, 7, 8, 9) + d(10, 11, 12, 13, 14, 15)
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Study Notes
Logic Family Properties
- Fan-in: Refers to the maximum number of inputs that a logic gate can handle.
- Propagation delay: The time taken for a signal to propagate through a logic gate, from input to output.
- Power dissipation: The amount of power consumed by a logic gate while operating.
Universal Gates
- NAND and NOR gates are called universal gates because they can be combined to create all other basic logic gates (AND, OR, NOT, etc.).
- Example: A NOR gate can be used to create a NOT gate by connecting both inputs together.
Half Subtractor
- A half subtractor is a digital circuit that subtracts one binary digit (bit) from another.
- It has two inputs (minuend and subtrahend) and two outputs (difference and borrow).
- Logic circuit: Uses XOR and AND gates to perform subtraction.
Number Systems Conversion
- Binary conversion: (62)10 = (111110)2
- Octal conversion: (62)10 = (76)8
K-map Minimization
- K-map (Karnaugh map) is a graphical method for minimizing boolean expressions.
- Example: f (A, B, C, D) = ∑m (0, 1, 5, 6, 7, 8, 9) + d(10, 11, 12, 13, 14, 15)
- Minimized expression: (requires solving the K-map to get the simplified boolean expression)
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Description
This quiz is for the subject "Digital Fundamentals" in the BE - Semester III (New) examination at Gujarat Technological University. It will test your knowledge of digital fundamentals and will be held on 01-08-2023 from 02:30 PM to 05:00 PM. The quiz carries a total of 70 marks and you are required to attempt all questions. Make suitable assumptions as needed.
