The Binary number for the base 10 number 15 is 1111
Think about it: you should first set up the first four place values, which are - - - -
8 4 2 1
First, divide 15 (or the number your working with) by the largest place value (not bigger than the number you're dividing by) which, in this case, is 8.
15/8 is 1 R 7, so put 1 in the 8 place value spot.
Since you have 7 remaining, put another 1 in the 4's place, than another 1 in the 2's place, and another in the 1's place.
You have nothing left to divide, so this is your answer.
15 (base 10) = 1111 (base 2, or Binary)
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The binary number 1111 is 15. The digits in a binary number are exponents of 2 rather than 10, so that for a four digit number in binary, the digit places represent 8, 4, 2, 1 instead of increasing values of 10. 1111 = 8+4+2+1 = 15
It is 15 in base 10.
100
The number 225 in binary is 11100001
1111 in binary is 15 in decimal.