Write a Java or C/C++ program to convert a base-10 number to a base-2 number. The following input should be tested:

Logic should split the number into integer and float then divide by 2 for the int concatenating into a string of 10000000 with the final remainder being 1 concatenated to the front. The float would be multiplied by 2 then 1 would be subtracted until you get 0. The two strings would be concatenated at the end to form something like 10000.000001.

1) 12 2) 12.6875

3) .6875