Proposition
Example:
2+2=4
2+2=5
We’re science major
We need oxygen
Proposition 1 and 4 are T. Proposition 2 and 3 are F
Negation:
Find the negation proposition
1. I’m a mathematical major
- ~p = I’m not a mathematical major
2. Sharifah is not a student from UPSI
- ~p = Sharifah is a student from UPSI
Conjunction:
Find the conjunction proposition
1. I like to eat ice-cream and chocolate
2. I tried to hit the nail but hit my thumb instead
Disconjunction
Example
1. You will give me all your money or I will stab you with this table or I will stab you with this table knife
2. John is at the Library or he is studying
Exclusive Or
Example:
Would you like tea or coffee
Conditional Statement
Example:
If the moon is made a green cheese then the world end at midnight
Biconditional Statement
Example:
1. A polygon is a triangle if and only if it has exactly 3 sides
Converse, Contrapositive and Inverse
Example:
p = The sun is shinning
q = we can go to picnic
Converge : If we can go to picnic, then the sun is shinning
Contrapositive: If the is shinning, then we can go to picnic
Inverse : If we can’t go picnic, then the sun is shinning
Bit Operator
find the bitwise ^, ˅ and ⊕ of the string 101 1110 and 010 0001
^ = 111 1111
˅ = 000 0000
⊕ = 111 1111