Quick presentation on the more tricky parts of boolean simplification

1. Distributive property
• Distributing – take something and
share it around
a(b+c) = ab + ac
• Multiplication
• Every term inside the brackets

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. The key insights ..
• ab + a = a(b+1) = a
• ab + ab = b(a+a) = b
• a+(b.c) = (a+b)(a+c)

4. deMorganising
a+b a.b
a.b a+b
a.b a+b
a.b a+b