How to Convert 4821 to Binary

Here we will show you step-by-step how to convert the decimal number 4821 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 4821 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 4821 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 4821 as a binary.

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

4821 ÷ 2 = 2410 with 1 remainder
2410 ÷ 2 = 1205 with 0 remainder
1205 ÷ 2 = 602 with 1 remainder
602 ÷ 2 = 301 with 0 remainder
301 ÷ 2 = 150 with 1 remainder
150 ÷ 2 = 75 with 0 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 4821 converted to binary is therefore:

1001011010101

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4821 and B is the binary number 1001011010101. Which means that you can display decimal number 4821 to binary in mathematical terms as follows:

4821₁₀ = 1001011010101₂

Decimal to Binary Converter
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