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Questions and Answers
What are the three main ways of specifying the function of a combinational logic circuit?
Boolean Algebra, Truth table, Logic diagram
What does a decoder do in a combinational logic circuit?
Converts binary code data into different output lines representing decimal code.
What is the function of the NOT gate in the given example circuit?
Inverts the input signal.
The output of the NOT gate is connected to an AND gate with inputs B and ___ in the given example circuit.
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Define period in the context of waveforms.
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Define wavelength in the context of waveforms.
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Define amplitude in the context of waveforms.
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What does frequency measure in the context of waveforms?
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Calculate the period if the frequency is 3 GHz.
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Study Notes
Combinational Logic Circuits
- Combinational logic circuits are composed of basic logic gates connected to produce more complex switching circuits.
- Logic gates are the building blocks of combinational logic circuits.
Example of Combinational Circuit
- A decoder is a type of combinational circuit that converts binary code data into a number of different output lines, producing an equivalent decimal code as its output.
Specifying Combinational Logic Circuit Functions
- There are three main ways to specify the function of a combinational logic circuit:
- Boolean Algebra
- Truth Table
- Logic Diagram
Example Circuit
- The example circuit consists of four inputs (A, B, C, and Δ) and one output (x).
- The circuit has three logic gates:
- An AND gate with inputs A and B, whose output is connected to a NOT gate
- A NOT gate with input from the AND gate, and output connected to an AND gate with inputs B and C
- An AND gate with inputs B, C, and the output of the NOT gate, producing the output x
Key Differences between Analog and Digital Signals
- Analog signals have a continuous waveform and more power
- Digital signals are discrete and have less power
Period
- The time taken to complete one cycle of a waveform from start to end
- Calculated using the formula: T = 1/f, where T is the period and f is the frequency
- Example: if the frequency is 3 GHz, the period is 3 x 10^(-9) seconds or 3 ps
Wavelength
- The distance of one complete cycle of a waveform from start to end
Amplitude
- The vertical displacement of a waveform from its equilibrium position to its peak
Frequency
- The processing speed of a waveform, measured in Hertz (Hz)
- The number of oscillations per unit time
- Example: 3 GHz is a frequency of 3 billion oscillations per second
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Description
Combinational logic circuits are a fundamental concept in digital electronics, combining basic logic gates to produce complex switching circuits. This quiz covers the basics of combinational logic circuits, including decoders and binary code conversion.
