Math Is Fun Forum

Jhon

Guest

Truth Table, HELP ME PLEASE

I need to solve this but I couldnt Can anyone solve it ?

question :

A committee of three decides questions by majority vote. Each member can press a button to signify a “Yes” vote. Construct the truth table for a circuit that passes current only when the majority of the votes is “Yes”.

Let A stand for “member A votes ‘Yes’”; let B stand for “member B votes ‘Yes’”; and let C stand for “member C votes ‘Yes’”.

Derive a function, f(A, B, C), from the truth table

Bob

Administrator

Registered: 2010-06-20

Posts: 10,140

Re: Truth Table, HELP ME PLEASE

hi Jhon,

Welcome to the forum.

I used 1 to stand for 'votes for' and zero for votes against.  For the outcome, 1 stands for proposition passed and 0 for proposition rejected.

Here's a bit of the truth table:

When you complete it, you'll see that the first 4 outcomes conform to a simple function and so do the last 4, so an overall function should be possible.

Bob

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