# Boolean operation

Discussion in 'Homework Help' started by Chiazo, Mar 13, 2014.

1. ### Chiazo Thread Starter New Member

Mar 12, 2014
1
0
Assume that the following were Newspaper reports on a serious incident that occurred in a secondary school yesterday: ¡°in one of the modern classrooms all the window glasses were broken¡±. Four students are suspected ¨C Lizzy, Dimson, Tonia and Micheal. Consequently, they were all cross-examined and each gave three statements as follows:
Lizzy
a.I am not the one (L1)
b.I never went to the window (L2)
c.Micheal knows, who broke it (L3)
Dimson
a.I didn¡¯t break the glasses (D1)
b.I never knew Micheal before I came to this school (D2)
c.Perhaps, Tonia did it (D3)
Tonia
a.I didn¡¯t (T1)
b.Micheal did it (T2)
c.Dimson was lying, saying that I did it (T3)
Micheal
a.Not me!(M1)
b.Lizzy broke the glasses (M2)
c.Dimson can ascertain for me, since he knew me from my birthday (M3)
If you were called to investigate this matter and assume that one of the three statements made by each above was false. Write the Boolean expression and minimize the resulting system equations to determine who broke the glasses.

Solution:

This is how I started the solution;

L = L1'L2L3 L1L2'L3 L1L2L3'

D = D1'D2D3 D1D2'D3 D1D2D3'

T = T1'T2T3 T1T2'T3 T1T2T3'

M = M1'M2M3 M1M2'M3 M1M2M3'

where L = Lizzy's statements
D = Dimson's statements
T = Tonia's statements
M = Micheal's statements

2. ### WBahn Moderator

Mar 31, 2012
18,085
4,917
It's a pretty poorly contrived problem, but let's go with it.