#### Answer

a. 1023
b. 35

#### Work Step by Step

a. With fingers, the highest binary number that can be represented is 1111111111, one digit for each finger. When that is converted to its decimal value, it is equivalent to 1023.
b. Similar to the other one, the highest number in use 6 that can be represented is 55, which when converted to a decimal is equivalent to 35.