2.21 A DJ ("disc jockey," meaning someone who plays music at a party) 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 has output S that when 1 indicates that

music is playing, and a motion sensor has output M that when 1 indicates that people are

dancing. The strobe light has an input L that when 1 turns the light on, and the disco ball has

an input B that when 1 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. Create equations describing the desired behavior for B and

for L, and then convert each to a circuit using AND, OR, and NOT gates,