Combining Boolean Operators
- Boolean operators can be combined to produce more complex expressions
- The combination of two or more Boolean operators forms a logic expression
- Brackets are used to clarify the order of operations
- A logic diagram is a visual representation of combinations of Boolean operators within a logic circuit
- An example would be Q = NOT(A OR B)
- In the diagram above, the inputs are represented by A and B
- P is the output of the OR gate on the left and becomes the input of the NOT gate
- Q is the final output of the logic circuit
- This is a logic diagram for the Boolean expression Q = NOT(A OR B)
Exam Tip
You may be asked to draw a logic circuit from a logic statement or a Boolean expression OR write the logical expression that is expressed in the logic diagram
Logic circuits will be limited to a maximum of three inputs and one output
Example of combining Boolean operators
- P = (A OR B) AND NOT C