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The simplest way to describe this action is to demonstrate using a simple truth table. This is not intended to be an in depth study of the theorms but a simple demonstration of how a trivial equation can be demorganized. Given a simple boolean equation !A+!B=1. One could show in a truth table. !A !B !A+!B (fully inhibited OR function)

0 0 1

0 1 1

1 0 1

1 1 0 Demorganizing (hypersimplified method)

1) NOT all variables

2) NOT the equation

3) Invert the function (AND to OR or OR to AND)

Iterative steps yeilds

!A becomes !!A which is the same as A

(!!A + !B) = (A+!B)

!B becomes !!B which is the same as B

(A +!!B) = A+B OR function becomes AND

(A+B) = (AB)

NOT the full equation !(AB) = !A+!B Truth table for the new equation (which happens to be a NAND function) A B AB !AB !A+!B

0 0 0 1 1

0 1 0 1 1

1 0 0 1 1

1 1 1 0 0

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Q: How do you Demorganize a Boolean expression?
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