How to Convert 8002 to Binary

Here we will show you step-by-step how to convert the decimal number 8002 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 8002 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 8002 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 8002 as a binary.

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

8002 ÷ 2 = 4001 with 0 remainder
4001 ÷ 2 = 2000 with 1 remainder
2000 ÷ 2 = 1000 with 0 remainder
1000 ÷ 2 = 500 with 0 remainder
500 ÷ 2 = 250 with 0 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 8002 converted to binary is therefore:

1111101000010

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 8002 and B is the binary number 1111101000010. Which means that you can display decimal number 8002 to binary in mathematical terms as follows:

8002₁₀ = 1111101000010₂

Decimal to Binary Converter
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