Boolean Algebra and Logic Gates: A Concise Overview
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Boolean Algebra
SUM
0 + 0 = 0
1 + 1 = 1
0 + 1 = 1
1 + 0 = 1
MULTIPLICATION
COMPLEMENTATION
= 1
= 0
Example with other signs:
MORGAN'S THEOREM
Common Factor
Exercises:
Logic Gates
NOT Gate (Inverter)
This is an operation that only handles one input variable and an output. The output takes the opposite or inverse state as the entry.
Truth Table for NOT Gate
INPUT VALUE | OUTPUT VALUE |
0 | 1 |
1 | 0 |
OR Gate (Sum)
When different variables are combined using the logical OR function, the result takes the high state, true or 1 if any of them have this condition. The equation representing the OR function of two input variables is:
X = A + B
Truth Table for OR Gate
VALUE IN PART A | VALUE IN PART B | Values obtained from the OUTPUT |
0 | 0 | 0 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 1 |
NOR Gate (Inverting Summer)
This gate produces the