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.
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.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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need help with number 4 aand 5
Transcribed Image Text:**Consider \( F(A, B, C) = ABC' + BC' + A'BC + AC' \)**
1. **Determine Logic Gate Inputs Before Simplification:**
- Count how many logic gate inputs are necessary for the given expression before any simplification. Inputs to NOT gates are not counted.
2. **Simplify Expression Using Boolean Algebra:**
- Apply Boolean algebra rules to simplify \( F(A, B, C) \).
- Determine how many logic gate inputs are needed after simplifying the expression. Again, do not count inputs to NOT gates.
3. **Canonical SOP Representation:**
- Expand the original expression into its canonical Sum of Products (SOP) form.
4. **K-map Simplification:**
- Use the canonical SOP representation to fill out the Karnaugh Map (K-map).
- Group the 1-cells following K-map rules.
- Translate each group into its product term, combine these terms using OR, and verify it matches the expression simplified in Step 2.
5. **Circuit Design and Verification in CircuitVerse:**
- Draw two circuits in CircuitVerse:
- One using the original expression for \( F(A, B, C) \).
- Another using the simplified expression from Step 2 or 4.
- Connect inputs to both circuits and keep outputs separate.
- Verify the equivalence of the two circuits through simulation and take a snapshot of the simulation results.
Expert Solution
Step 1: To fill K-Map and draw circuit diagram
Given Expression:
F(A,B,C) = AB'C + B'C' + A'BC + A'C'
Truth table for function F(A,B,C) = AB'C + B'C' + A'BC + A'C'
| A | B | C | F |
0 | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 1 | 0 |
2 | 0 | 1 | 0 | 1 |
3 | 0 | 1 | 1 | 1 |
4 | 1 | 0 | 0 | 1 |
5 | 1 | 0 | 1 | 1 |
6 | 1 | 1 | 0 | 0 |
7 | 1 | 1 | 1 | 0 |
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