I am trying to change these Boolean expressions into expressions that do not use multiplication. Bolds indicate complements.
a) abc
b) (ab +c)d
And these to ones that do not use addition.
c) a + b + c
d) (ab + c)d + e
How should I approach these problems?
Hint: $a\wedge b$ is the same as $\neg(\neg a \vee \neg b)$. Wherever you have multiplication, just apply this rule... You can similarly remove + with the rule $a\vee b = \neg(\neg a \wedge \neg b)$. If you think about what these statements say, you can see why they are true.
