Convert the following to base 2 and base 10 numbers.

Question

728

Answer 1

To convert 728 to base 2, we divide it by 2 repeatedly until the quotient becomes zero.

728 ÷ 2 = 364 remainder 0
364 ÷ 2 = 182 remainder 0
182 ÷ 2 = 91 remainder 0
91 ÷ 2 = 45 remainder 1
45 ÷ 2 = 22 remainder 1
22 ÷ 2 = 11 remainder 0
11 ÷ 2 = 5 remainder 1
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1

So, 728 in base 2 is 1011011000.

To convert 728 to base 10, it already is in base 10. Therefore, 728 in base 10 is 728.