Question

2. Provide a Boolean expression for this function for positive logic and for negative logic ABF L LL H LH LH H H H L How many possible Boolean functions are there of 7 inputs? 3.

do #2 but would be great if u did #3 also.

Answer 1

2. Truth table

Positive logic AB XOR 000 011 10 1 11 0 Gate behavior ABF LL LH LH HLH HHL Negative logic AB XNOR 11 / 1 10 0 01 0 0 0 1

Boolean expression for positive logic: $A \cdot \overline{B} + \overline{A} \cdot B$

Boolean expression for negative logic: ${\displaystyle A\cdot B+{\overline {A}}\cdot {\overline {B}}}$   

3. If there are 7 inputs i.e., n=7, there are 2 ¹⁴ distinct possible Boolean functions possible.