How to Convert 20420 to Binary

Here we will show you step-by-step how to convert the decimal number 20420 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 20420 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 20420 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 20420 as a binary.

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

20420 ÷ 2 = 10210 with 0 remainder
10210 ÷ 2 = 5105 with 0 remainder
5105 ÷ 2 = 2552 with 1 remainder
2552 ÷ 2 = 1276 with 0 remainder
1276 ÷ 2 = 638 with 0 remainder
638 ÷ 2 = 319 with 0 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 20420 converted to binary is therefore:

100111111000100

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 20420 and B is the binary number 100111111000100. Which means that you can display decimal number 20420 to binary in mathematical terms as follows:

20420₁₀ = 100111111000100₂

Decimal to Binary Converter
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How to Convert 20421 to Binary
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