How to Convert 24968 to Binary

Here we will show you step-by-step how to convert the decimal number 24968 to binary.

First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).

As we explain the steps to converting 24968 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

Step 1) Divide 24968 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 24968 as a binary.

Here we will show our work so you can follow along:

24968 ÷ 2 = 12484 with 0 remainder
12484 ÷ 2 = 6242 with 0 remainder
6242 ÷ 2 = 3121 with 0 remainder
3121 ÷ 2 = 1560 with 1 remainder
1560 ÷ 2 = 780 with 0 remainder
780 ÷ 2 = 390 with 0 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 24968 converted to binary is therefore:

110000110001000

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 24968 and B is the binary number 110000110001000. Which means that you can display decimal number 24968 to binary in mathematical terms as follows:

24968₁₀ = 110000110001000₂

Decimal to Binary Converter
Need another decimal number as a binary number? How to convert 24968 to binary is not all we know. Convert another decimal to binary below:

How to Convert 24969 to Binary
Here is our next decimal to binary tutorial on our list.