Question

1. We define a binary-like number to be a positive integer comprised of digits that are only 0s and 1s. For example, 1111001010 is a binary-like number, while 102110104 is not. What is the smallest binary-like number divisible by 225

Answer 1

11100001

Step-by-step explanation:

The smallest binary-like number that would be divisible by 225 would be the binary-like number representing 225. Because in dinary, the smallest number that can be divided by 225 is 225 which would give 1.

Therefore to determine the required binary-like number, divide 225 by 2 continuously and noting the remainder with respect to each division.

We have;

225 = 11100001

The smallest binary-like number that is divisible by 225 is 11100001.