How to Convert 4888 to Binary

Here we will show you step-by-step how to convert the decimal number 4888 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 4888 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 4888 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 4888 as a binary.

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

4888 ÷ 2 = 2444 with 0 remainder
2444 ÷ 2 = 1222 with 0 remainder
1222 ÷ 2 = 611 with 0 remainder
611 ÷ 2 = 305 with 1 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 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 4888 converted to binary is therefore:

1001100011000

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4888 and B is the binary number 1001100011000. Which means that you can display decimal number 4888 to binary in mathematical terms as follows:

4888₁₀ = 1001100011000₂

Decimal to Binary Converter
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