please give me full answer for what the question asks for,defining variables, values, create equations, and convert each to a circuit as stated in the question.

Thanks!

A DJ would like a system to automatically control a strobe light and disco ball in a dance hall depending on whether music is playing, and people are dancing. A sound sensor indicates that music is playing, and a motion sensor that indicates when 1 indicates that people are dancing. The strobe light has an input L that turns the light on, and the disco ball has an input B that turns the ball on. The DJ wants the disco ball to turn on only when music is playing and nobody is dancing and wants the strobe light to turn on only when music is playing and people are dancing. Define variables and values, create equations describing the desired behavior for B and for L, and convert each to a circuit using AND, OR, and NOT gates