When programming in Boolean, what statement should be used to connect components in parallel?
The correct answer and explanation is :
Correct Answer:
OR statement ( + )
Explanation:
In Boolean algebra, the OR statement ( + ) is used to connect components in parallel. This follows from the fundamental principles of digital logic, where an OR operation produces a high (1) output if any of its inputs are high.
Understanding Parallel Connection in Boolean Logic
A parallel circuit allows multiple paths for current to flow. In Boolean logic, this translates to a situation where multiple inputs can independently activate an output. This is modeled using the OR operation.
For example, consider two switches (A and B) connected in parallel to a light bulb. The Boolean representation of this setup is: Y=A+BY = A + B
This means:
- If A is 1 (ON) and B is 0 (OFF), then Y=1Y = 1.
- If A is 0 (OFF) and B is 1 (ON), then Y=1Y = 1.
- If both A and B are 1, then Y=1Y = 1.
- The only time Y=0Y = 0 is when both A and B are OFF (0).
Comparison with Series Connection
In contrast, a series connection follows an AND operation ( · ), meaning both inputs must be high for the output to be high: Y=A⋅BY = A \cdot B
This means:
- The circuit is ON only when both switches are ON.
- If any switch is OFF, the circuit remains OFF.
Practical Applications
The OR operation is used in:
- Electrical Circuits – Emergency lighting, where multiple power sources ensure functionality.
- Computing – Logical operations in CPUs and control circuits.
- Security Systems – Multiple sensors triggering an alarm.
Thus, when designing parallel connections in Boolean logic, the OR statement ( + ) must be used to ensure the correct logical behavior.