How to Convert 8204 to Binary

Here we will show you step-by-step how to convert the decimal number 8204 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 8204 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 8204 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 8204 as a binary.

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

8204 ÷ 2 = 4102 with 0 remainder
4102 ÷ 2 = 2051 with 0 remainder
2051 ÷ 2 = 1025 with 1 remainder
1025 ÷ 2 = 512 with 1 remainder
512 ÷ 2 = 256 with 0 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 8204 converted to binary is therefore:

10000000001100

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 8204 and B is the binary number 10000000001100. Which means that you can display decimal number 8204 to binary in mathematical terms as follows:

8204₁₀ = 10000000001100₂

Decimal to Binary Converter
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