Note on Half Adder and Full Adder Using Multiplexer (MUX):
-
Half Adder:
- A half adder is a fundamental digital circuit that performs the addition of two single-bit binary numbers.
- The half adder has two outputs:
- Sum (S) = A XOR B
- Carry (C) = A AND B
- The truth table displayed shows the possible outcomes for different input values of A and B.
-
Full Adder:
- A full adder extends the half adder by adding an additional carry-in input (Cin), allowing for the addition of three bits (A, B, Cin).
- The outputs are:
- Sum (S) = (A XOR B) XOR Cin
- Carry (C) = (A AND B) OR (Cin AND (A XOR B))
- The full adder can be implemented using multiple half adders or by utilizing a multiplexer (MUX) for efficiency in logic design.
-
Multiplexer (MUX):
- A 4:1 multiplexer (4-input, 1-output) can be used to implement logical functions by selecting between different input lines based on select signals (A, B).
- In this context, the MUX is being used to combine the results from the half adder and full adder operations, routing the necessary logic for the outputs.
This note provides a concise summary of the topic discussed in the class based on the whiteboard content seen in the image
References
Information
- date: 2024.09.24
- time: 10:27>)