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# Distributive property

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Quick presentation on the more tricky parts of boolean simplification

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### Distributive property

1. 1. Distributive property• Distributing – take something and share it around a(b+c) = ab + ac• Multiplication• Every term inside the brackets
2. 2. FOIL method - distribution• (a + b) (c + d)• F irst two = ac• O uter two = ad• I nner two = bc• L ast two = bd• Result = ac+ad+bc+bd
3. 3. The key insights ..• ab + a = a(b+1) = a• ab + ab = b(a+a) = b• a+(b.c) = (a+b)(a+c)
4. 4. deMorganisinga+b a.ba.b a+ba.b a+ba.b a+b
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