Question

A, Band C represent switches in 'on' position and A', B' and C' represent them in off position. Construct a switching circuit representing the polynomial ABC + AB'C· + A'B'C. Using Boolean Algebra, prove that the .given 'polynomial can be simplified to C(A + B'). Construct an equivalent switching circuit

Answer 1

ABC + AB'C +A'B'C

= ABC + (A + A')B'C

= ABC + B'C

= (AB + B').C

=[(A + B').(B+B')] .C

= (A + B').C

= C(A + B')