You have been asked to perform scorekeeping for the swimming and diving program here at MSU starting in the fall semester.

You have been asked to perform scorekeeping for the swimming and diving program here at MSU starting in the fall semester. Although the scorekeeping system has been upgraded to support fractional parts of an athlete's time, you must demonstrate your proficiency in converting the following decimal numbers to the appropriate configuration of binary switches. As a reminder, a switch in the DOWN position representa a '1' and a switch in the UP position represents a '0'. 

Convert -27.78125 to the appropriate DOWN/UP configuration where the leftmost switch is the excess bit, followed by 5 switches for the whole part of the number, followed by 5 switches to represent the fractional part of the number.

Convert 45.375 to the appropriate DOWN/UP configration where the leftmost switch is the excess bit, followed by 6 switches for the whole part of the number, followed by 5 switches to represent the fractinal part of thenumber

Convert -12.65625 to the appropriate DOWN/UP configuration where the 4 leftmost switches represent the whole part of the number, followed by 1 switch for the excess bit, followed by 5 switches to represent the fractional part of the number.

Convert -57.46875 to the appropriate DOWN/UP configuration where the 6 leftmost switches represent the whole part of the number, followed by 1 switch for the excess bit, followed by 5 switches to represent the fractional part of the number.