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Boolean Logic Problems

Prove that B + A (B + C) + BC = B + AC
B + A (B + C) + BC
First expand the brackets
B + AB + AC + BC
Now look for terms with common elements
B(1 + A ) + AC + BC       But 1 + A = 1
B + AC + BC = B + BC + AC
Look for more terms with common elements
B(1 + C) + AC     = B + AC

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Boolean Logic Example

  • 1. Boolean Logic Problems Prove that B + A (B + C) + BC = B + AC B + A (B + C) + BC First expand the brackets B + AB + AC + BC Now look for terms with common elements B(1 + A ) + AC + BC But 1 + A = 1 B + AC + BC = B + BC + AC Look for more terms with common elements B(1 + C) + AC = B + AC