There are five students in a group and they would like to decide on certain idea by voting for ea...
There are five students in a group and they
would like to decide on certain idea by voting for
each idea that they agree upon. In order to make their vote
confidential, they would like to construct a circuit that
will decide on majority vote. Your task is to help them.
Derive the truth table and construct the circuit
by using a multiplexer.
This is the only information I get.
Homework Answers
|
Students Voting |
Majority |
||||
|
S4 |
S3 |
S2 |
S1 |
S0 |
F |
|
0 |
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
0 |
0 |
1 |
0 |
|
0 |
0 |
0 |
1 |
0 |
0 |
|
0 |
0 |
0 |
1 |
1 |
0 |
|
0 |
0 |
1 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
1 |
0 |
|
0 |
0 |
1 |
1 |
0 |
0 |
|
0 |
0 |
1 |
1 |
1 |
1 |
|
0 |
1 |
0 |
0 |
0 |
0 |
|
0 |
1 |
0 |
0 |
1 |
0 |
|
0 |
1 |
0 |
1 |
0 |
0 |
|
0 |
1 |
0 |
1 |
1 |
1 |
|
0 |
1 |
1 |
0 |
0 |
0 |
|
0 |
1 |
1 |
0 |
1 |
1 |
|
0 |
1 |
1 |
1 |
0 |
1 |
|
0 |
1 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
0 |
0 |
0 |
|
1 |
0 |
0 |
0 |
1 |
0 |
|
1 |
0 |
0 |
1 |
0 |
0 |
|
1 |
0 |
0 |
1 |
1 |
1 |
|
1 |
0 |
1 |
0 |
0 |
0 |
|
1 |
0 |
1 |
0 |
1 |
1 |
|
1 |
0 |
1 |
1 |
0 |
1 |
|
1 |
0 |
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
0 |
0 |
0 |
|
1 |
1 |
0 |
0 |
1 |
1 |
|
1 |
1 |
0 |
1 |
0 |
1 |
|
1 |
1 |
0 |
1 |
1 |
1 |
|
1 |
1 |
1 |
0 |
0 |
1 |
|
1 |
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
1 |
0 |
1 |
|
1 |
1 |
1 |
1 |
1 |
1 |
The most simplest implementation can be done using 32: 1 multiplexer. Here select inputs are students vote.
We can use external logic to reduce multiplexer size.
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