How to Convert 8741 to Binary

Here we will show you step-by-step how to convert the decimal number 8741 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 8741 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 8741 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 8741 as a binary.

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

8741 ÷ 2 = 4370 with 1 remainder
4370 ÷ 2 = 2185 with 0 remainder
2185 ÷ 2 = 1092 with 1 remainder
1092 ÷ 2 = 546 with 0 remainder
546 ÷ 2 = 273 with 0 remainder
273 ÷ 2 = 136 with 1 remainder
136 ÷ 2 = 68 with 0 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 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 8741 converted to binary is therefore:

10001000100101

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 8741 and B is the binary number 10001000100101. Which means that you can display decimal number 8741 to binary in mathematical terms as follows:

8741₁₀ = 10001000100101₂

Decimal to Binary Converter
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How to Convert 8742 to Binary
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