How to Convert 4271 to Binary

Here we will show you step-by-step how to convert the decimal number 4271 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 4271 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 4271 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 4271 as a binary.

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

4271 ÷ 2 = 2135 with 1 remainder
2135 ÷ 2 = 1067 with 1 remainder
1067 ÷ 2 = 533 with 1 remainder
533 ÷ 2 = 266 with 1 remainder
266 ÷ 2 = 133 with 0 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 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 4271 converted to binary is therefore:

1000010101111

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4271 and B is the binary number 1000010101111. Which means that you can display decimal number 4271 to binary in mathematical terms as follows:

4271₁₀ = 1000010101111₂

Decimal to Binary Converter
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How to Convert 4272 to Binary
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