question archive A group of four students decide to climb a mountain by voting
A group of four students decide to climb a mountain by voting
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A group of four students decide to climb a mountain by voting.
Only the majority (three or four students) vote for "Yes", they will climb the mountain.
Otherwise, they will not. We assume using a, b, c, and d to represent the four students respectively.
Use "1" to represent voting "Yes", "0" to represent voting "No".
The output is x with "1" representing "climb the mountain", and "0" representing "not climb the mountain".
1. Please design its truth table (10 points. No partial points)
The first row of the truth table has been filled out. Please fill out all the rest rows.
a b c d x
0 0 0 0 0 _ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
_ _ _ _ _
2. Please derive the Boolean Expression using the sum of products algorithm. Use Insert Graphical Equation to input "not a", "not b", or "not c". (10 points)
Solution:
