SAT II Math II : Types of Numbers

Example Questions

Example Question #1 : Types Of Numbers

Express  as a base ten number.

Explanation:

Place values in the base two system are powers of two rather than powers of ten.

is equal to:

Example Question #2 : Types Of Numbers

Express 68 as a base two (binary) number.

Explanation:

68 can be expressed as the sum of distinct powers of two as follows:

Therefore, there are 1's in the seventh and third place from the right, and 0's everywhere else, so

Example Question #3 : Types Of Numbers

Express 73 as a binary (base two) number.

Explanation:

73 can be uniquely expressed as the sum of distinct powers of two as follows:

Therefore, there is a "1" in the seventh, fourth, and first positions from the right, and a "0" everywhere else. So,

Example Question #4 : Types Of Numbers

Which of the following numbers is an imaginary number?