Use truth tables to determine whether the Python expressions in each pair are equivalent. i) x,...
Use truth tables to determine whether the Python expressions in
each pair are equivalent.
i) x, y, and z are variables with boolean values
- not x or not y or not z
- not (x and y and z)
ii) x is a variable with an integer value
- x > 0 and x <100 and not x%2==0
- not (x<0 or x>100 or x%2==1)
Homework Answers
1)The results in the yellow columns are same
So the expressions are equal
| x | y | z | not X | not Y | not Z | not x or not y or not z | (x and y and z) | not (x and y and z) |
| F | F | F | T | T | T | T | F | T |
| F | F | T | T | T | F | T | F | T |
| F | T | F | T | F | T | T | F | T |
| F | T | T | T | F | F | T | F | T |
| T | F | F | F | T | T | T | F | T |
| T | F | T | F | T | F | T | F | T |
| T | T | F | F | F | T | T | F | T |
| T | T | T | F | F | F | F | T | F |
2)
For this lets take X>0=K that means X<0= not K
X<100 = L ==> X>100= not L
X%2==0=M ==> X%2== 1= not M
| K | L | M | not K | not L | not M | K and L and not M | (not K or not L or not M | not(not K or not L or not M) |
| F | F | F | T | T | T | F | T | F |
| F | F | T | T | T | F | F | T | F |
| F | T | F | T | F | T | F | T | F |
| F | T | T | T | F | F | F | T | F |
| T | F | F | F | T | T | F | T | F |
| T | F | T | F | T | F | F | T | F |
| T | T | F | F | F | T | T | T | F |
| T | T | T | F | F | F | F | F | T |
The the results in the yellow columns are not equal.So the expressions are not equal
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Use truth tables to determine whether the Python expressions in
each pair are equivalent.
i) x,...
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