You have to design a display system for a thermometer. The minimum temperature that your display will have to output is $0$ degrees and the maximum is $98$ degrees.

a$)$ What is the minimum number of bits that is required to reperesent the temperature in binary?

b$)$ Convert $94$ degrees in decimal to binary, octal and hexedecimal.

c$)$ Convert $94$ degrees in decimal to $BCD$ representation.

d$)$ Convert $111$ in octal to hexedecimal.

e$)$ If you were required to represent both positive and negative temperatures in range from $-98$ degrees to $98$ degrees, how many bits do you need to represent the temperature in binary?