1.2) Logical Operations Flashcards
What does the NOT logical operator have?
Only 1 input + 1 output.
How many inputs does the AND logical operator have?
2.
How many outputs does the AND logical operator have?
1.
How many inputs does the OR logical operator have?
2.
How many outputs does the OR logical operator have?
1.
How many inputs does the XOR logical operator have?
2.
How many outputs does the XOR logical operator have?
1.
What is the condition for the XOR logical operator to have the output 1?
A + B have to be different.
What is the condition for the OR logical operator to give an output of 1?
If either A or B is 1.
What is the condition for the AND logical operator to give an output of 1?
If A + B are both 1.
What is the condition necessary for the NOT logical operator to have an output of 1?
Output is opposite of input.
Can Boolean algebra be used to describe logical operations?
Yes.
What is the annulment law of Boolean Algebra?
Variable AND 0 always = to 0.
A variable or 1 is always = to 1.
What is the Identity law of Boolean Algebra?
Variable OR 0 always = to variable.
A variable OR 1 always = to 1.
What is the Idempotent law of Boolean Algebra?
A variable and its complement always = to 0.
A variable AND itself always = to variable.
What is the Complement law of Boolean Algebra?
A variable AND its complement always = to 0.
A variable OR its complement always = to 1.
What is the Commutative law of Boolean Algebra?
Order of 2 variables with AND no difference.
Order of 2 variables with OR no difference.
What is the Double Complement law of Boolean Algebra?
A double complement of variable always = to variable.
What is the Distributive law of Boolean Algebra?
OR associative law: A + (B+C) = (A+B) +C= A+B+C.
AND associative law: A(B.C) = (A.B)C = A.B.C.
What does the notation of a bar on top of and input variable represent?
The NOT function.
What does the notation of a dot ‘.’ Represent?
The AND function.
What does the notation of a plus sign ‘+’ represent?
The OR function.
What does the notation of a plus sign with a circle represent?
The XOR function.
