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4. The table below defines the action of a switch that governs the three lights L, M, N. Design a circuit to implement the switch as a binary device encoding the switch positions in each of the following ways. Minimize the output expressions, using "don't care" conditions where they help LMN M N 0 0 0 BO0 11 00 Co10 010 DO 1 1 o 0 1 E10011 Light box Switch L M yz yz' y’z’ y'z yz yz' y’z’ y'z yz yz' y’z’ y'z

4. The table below defines the action of a switch that governs the three lights L, M, N. Design a circuit to implement the switch as a binary device encoding the switch positions in each of the following ways. Minimize the output expressions, using "don't care" conditions where they help LMN M N 0 0 0 BO0 11 00 Co10 010 DO 1 1 o 0 1 E10011 Light box Switch L M yz yz' y’z’ y'z yz yz' y’z’ y'z yz yz' y’z’ y'z

Computer Networking: A Top-Down Approach (7th Edition)
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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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The table below defines the action of a switch that governs the three lights L, M, N. Design acircuit to implement the switch as a binary device encoding the switch positions in each of the following ways.


Minimize the output expressions, using “don’t care” conditions where they help

### Circuit Design for Switch Control of Lights **Objective:** Design a circuit to implement a switch as a binary device encoding the switch positions to control three lights, L, M, and N. Minimize the output expressions using "don't care" conditions where applicable. **Diagram:** - **Switch Overview:** The switch can be in five positions labeled A, B, C, D, and E, which control the lights L, M, and N. **Table:** - **Truth Table:** The truth table shows combinations of inputs `x`, `y`, and `z`, and the corresponding outputs for lights `L`, `M`, and `N`. | x | y | z | L | M | N | |---|---|---|---|---|---| | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | | 0 | 1 | 1 | 0 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 0 | 0 | **Karnaugh Maps Explanation:** - **L, M, and N circuits** - **L:** The Karnaugh map for `L` uses variables `y` and `z` as follows, with don’t care conditions represented by empty cells: ``` yz yz' y'z' y'z x x' ``` - **M:** The Karnaugh map for `M` has a similar layout, focusing on output minimization. ``` yz yz' y'z' y'z x x' ``` - **N:** The Karnaugh map for `N` illustrates conditions under which the light is on or off. ``` yz yz' y'z' y'z x
Transcribed Image Text:### Circuit Design for Switch Control of Lights **Objective:** Design a circuit to implement a switch as a binary device encoding the switch positions to control three lights, L, M, and N. Minimize the output expressions using "don't care" conditions where applicable. **Diagram:** - **Switch Overview:** The switch can be in five positions labeled A, B, C, D, and E, which control the lights L, M, and N. **Table:** - **Truth Table:** The truth table shows combinations of inputs `x`, `y`, and `z`, and the corresponding outputs for lights `L`, `M`, and `N`. | x | y | z | L | M | N | |---|---|---|---|---|---| | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | | 0 | 1 | 1 | 0 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 0 | 0 | 0 | **Karnaugh Maps Explanation:** - **L, M, and N circuits** - **L:** The Karnaugh map for `L` uses variables `y` and `z` as follows, with don’t care conditions represented by empty cells: ``` yz yz' y'z' y'z x x' ``` - **M:** The Karnaugh map for `M` has a similar layout, focusing on output minimization. ``` yz yz' y'z' y'z x x' ``` - **N:** The Karnaugh map for `N` illustrates conditions under which the light is on or off. ``` yz yz' y'z' y'z x
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