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Simplifying boolean logic expressions will not affect the performance of the hardware implementation.Group of answer choicesTrueFalse

Question

Simplifying boolean logic expressions will not affect the performance of the hardware implementation.

Group of answer choices

  • True
  • False
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Solution

The statement is False. Simplifying Boolean logic expressions can indeed affect the performance of the hardware implementation. Here are several reasons why:

  1. Reduced Gate Count: Simplifying Boolean expressions usually leads to a reduced number of logic gates needed for the implementation. Fewer gates mean less hardware is required, which can lead to lower costs and increased reliability.

  2. Improved Speed: A simpler Boolean expression can lead to faster operation because there are fewer gates for signals to traverse, reducing the overall propagation delay.

  3. Lower Power Consumption: With fewer gates and reduced complexity, the power consumption of the circuit can also be lowered. This is especially important in battery-powered devices where efficiency is crucial.

  4. Easier Testing and Debugging: Simplified designs are typically easier to test and debug, making them more manageable and less error-prone.

In conclusion, simplifying Boolean logic expressions does affect hardware performance positively by reducing complexity, cost, and improving speed and efficiency. Therefore, the answer is False.

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Simplify following logic function by expression , develop a truth table for it, and convert it to standard SOP expressions.

Simplify the following expressions using Boolean algebra:a) (AB’C’ + AB’C + ABC + AB’C) (A + B)

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