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Simplifying Boolean expressions is a core skill in OCR H446. A simplified expression uses fewer operations and translates to a circuit with fewer gates, which means lower cost, less power consumption, and faster operation. This lesson brings together all the Boolean algebra laws to demonstrate systematic simplification.
| Before simplification | After simplification |
|---|---|
| More gates needed | Fewer gates needed |
| Higher power consumption | Lower power consumption |
| More complex circuit | Simpler circuit |
| Harder to debug | Easier to debug |
| Slower signal propagation | Faster signal propagation |
There is no single algorithm for simplifying Boolean expressions algebraically, but the following strategy works well:
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