make logic diagram using these equation Y=AC+BC+AB
Question
make logic diagram using these equation Y=AC+BC+AB
Solution
To create a logic diagram from the equation Y=AC+BC+AB, follow these steps:
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Identify the variables: In this case, the variables are A, B, and C.
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Identify the operations: The operations are AND (represented by multiplication in the equation) and OR (represented by addition in the equation).
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Draw the AND gates: For each multiplication operation, draw an AND gate. Connect the inputs of the AND gate to the variables being multiplied. In this case, you will have three AND gates: one for AC, one for BC, and one for AB.
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Draw the OR gate: Since the results of the AND operations are being added together, they are inputs to an OR gate. Draw an OR gate and connect its inputs to the outputs of the AND gates.
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Label the output: The output of the OR gate is the result Y. Label the output of the OR gate as Y.
The logic diagram will look something like this:
A -----| |-----|
|AND| |
C -----| | | |--- Y
|OR|
B -----| |-----| |
|AND| |
C -----| | |
|OR|
A -----| |-----|
|AND|
B -----| |
This diagram represents the given equation Y=AC+BC+AB.
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