How to Convert 4215 to Binary

Here we will show you step-by-step how to convert the decimal number 4215 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 4215 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 4215 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 4215 as a binary.

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

4215 ÷ 2 = 2107 with 1 remainder
2107 ÷ 2 = 1053 with 1 remainder
1053 ÷ 2 = 526 with 1 remainder
526 ÷ 2 = 263 with 0 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 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 4215 converted to binary is therefore:

1000001110111

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4215 and B is the binary number 1000001110111. Which means that you can display decimal number 4215 to binary in mathematical terms as follows:

4215₁₀ = 1000001110111₂

Decimal to Binary Converter
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How to Convert 4216 to Binary
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