Simplify the following function:((A*B*C) + ((NOT A) * B * C) + (A* (NOT B) * C) + (A*B*(NOT C)))?

Question

I m an informatics student. this question is from the course "Logic Design".The course unit no is 254. if there is any info student here then help me to solve it. or if anyone else can solve it then plz do it soon i will thankful to one

Answer 1

ABC+A`BC+AB`C+ABC`
(ABC+A`BC)+(ABC+AB`C)+(ABC+ABC`)
BC(A+A`) + AC(B+B`) + AB(C+C`)
BC+AC+AB

This is the simplest form

Answer 2

The function will return 1, whenever any two variables are 1, hence can be reduced to
AB + BC + AC.

Answer 3

Try this. "Factor" out the A from three of the terms.

(NOT A)*B*C + A*[ B*C + (NOT B)*C + B*(NOTC)]
Note that B*C+(NOT B)*C+B*(NOT C) = B + C

So we have

(NOT A)*B*C + A* (B+C)

Thats as simple as I can get it....