Consider F(A,B,C) = AB'C + B'C' + A'BC + A'C'1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates.3. Expand the original expression into its canonical SOP representation.4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, andverify that the expression you get matches the one in Step 2.5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verifythrough simulation that these two circuits are indeed equivalent. Take a snapshot.

Answered: Consider F(A,B,C) = AB'C + B'C' + A'BC…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Consider F(A,B,C) = AB'C + B'C' + A'BC + A'C'
1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates
2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates.
3. Expand the original expression into its canonical SOP representation.
4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and
verify that the expression you get matches the one in Step 2.
5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify
through simulation that these two circuits are indeed equivalent. Take a snapshot.

Expert Solution

Step 1: State the given data.

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The Boolean expression is

$F (A, B, C) = A B^{'} C + B^{'} C^{'} + A^{'} B C + A^{'} C^{'}$ ;

We need to determine
1. The number of logic gate inputs needed before any simplification. Do not count inputs to NOT gates.
2. The number of logic gate inputs needed after simplification using Boolean algebra. Do not count inputs to NOT gates.
3. The canonical SOP representation of F(A,B,C).

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