Question

convert (15)10 into Binary form​

Answer 1

The number $15_{10}$ will be $1111_2$ in binary form.

Given,

The number in decimal form: $15_{10}$.

To Find,

The binary form of the number $15_{10}$.

Solution,

The method of converting the decimal number into a binary number is as follows -

We will divide the number $15_{10}$ by 2 and the remainder will be the unit digit of the binary form and then the quotient will be again divided by 2 to obtain the next digit.

Now if we divide 15 by 2, the remainder is 1 and the quotient is 7. So the unit digit in the binary form is 1.

If we divide 7 by 2, the remainder is 1 and the quotient is 3. So the digit after the unit place is 1.

Again if we divide 3 by 2, the remainder will be 1 and the quotient is 1. So the next digit will be 1.

Lastly, if we divide 1 by 2, the remainder will be 1 and the quotient will be 0. So the next digit will be 1.

Since the quotient is 0, the process ends here.

So the binary number will be $1111_2$.

Hence, the number $15_{10}$ will be $1111_2$ in binary form.

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