How to Convert 9045 to Binary

Here we will show you step-by-step how to convert the decimal number 9045 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 9045 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 9045 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 9045 as a binary.

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

9045 ÷ 2 = 4522 with 1 remainder
4522 ÷ 2 = 2261 with 0 remainder
2261 ÷ 2 = 1130 with 1 remainder
1130 ÷ 2 = 565 with 0 remainder
565 ÷ 2 = 282 with 1 remainder
282 ÷ 2 = 141 with 0 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 9045 converted to binary is therefore:

10001101010101

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 9045 and B is the binary number 10001101010101. Which means that you can display decimal number 9045 to binary in mathematical terms as follows:

9045₁₀ = 10001101010101₂

Decimal to Binary Converter
Need another decimal number as a binary number? How to convert 9045 to binary is not all we know. Convert another decimal to binary below:

How to Convert 9046 to Binary
Here is our next decimal to binary tutorial on our list.