What is the base 2 representation for 59?

To convert the decimal number 59 to its base 2 (binary) representation, you repeatedly divide the number by 2 and record the remainders. Starting with 59, the divisions yield the remainders: 1 (59 ÷ 2), 0 (29 ÷ 2), 1 (14 ÷ 2), 1 (7 ÷ 2), 1 (3 ÷ 2), and 1 (1 ÷ 2). Reading the remainders from bottom to top gives you the binary representation: 111011. Thus, the base 2 representation of 59 is 111011.