The biggest whole number that can be represented in decimal system using only 2 digits is 99. What is the biggest whole number that can be presented in binary system using only 2 digits? Write your
answer in decimal notation.
What is the biggest whole number that can be presented in binary system using only 3 digits. Write
your answer in decimal notation.

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?