Exercise $1\mathrm{.}10.$

We want to build a digital thermometer that can show the temperature up to $200C$ without decimals.

How many bits do we need to represent the temperature as a binary number if only positive

temperatures can be shown?

How many bits do we need to represent the temperature if the thermometer can also show negative

temperatures, and the two's complement representation is used?

How many bits do we need to represent the temperature in binary coded decimal $($BCD$)$

representation?