How to Convert 4648 to Binary

Here we will show you step-by-step how to convert the decimal number 4648 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 4648 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 4648 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 4648 as a binary.

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

4648 ÷ 2 = 2324 with 0 remainder
2324 ÷ 2 = 1162 with 0 remainder
1162 ÷ 2 = 581 with 0 remainder
581 ÷ 2 = 290 with 1 remainder
290 ÷ 2 = 145 with 0 remainder
145 ÷ 2 = 72 with 1 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 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 4648 converted to binary is therefore:

1001000101000

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4648 and B is the binary number 1001000101000. Which means that you can display decimal number 4648 to binary in mathematical terms as follows:

4648₁₀ = 1001000101000₂

Decimal to Binary Converter
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