How to Convert 2388 to Binary

Here we will show you step-by-step how to convert the decimal number 2388 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 2388 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 2388 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 2388 as a binary.

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

2388 ÷ 2 = 1194 with 0 remainder
1194 ÷ 2 = 597 with 0 remainder
597 ÷ 2 = 298 with 1 remainder
298 ÷ 2 = 149 with 0 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 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 2388 converted to binary is therefore:

100101010100

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 2388 and B is the binary number 100101010100. Which means that you can display decimal number 2388 to binary in mathematical terms as follows:

2388₁₀ = 100101010100₂

Decimal to Binary Converter
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