How to Convert 4970 to Binary

Here we will show you step-by-step how to convert the decimal number 4970 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 4970 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 4970 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 4970 as a binary.

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

4970 ÷ 2 = 2485 with 0 remainder
2485 ÷ 2 = 1242 with 1 remainder
1242 ÷ 2 = 621 with 0 remainder
621 ÷ 2 = 310 with 1 remainder
310 ÷ 2 = 155 with 0 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 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 4970 converted to binary is therefore:

1001101101010

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 4970 and B is the binary number 1001101101010. Which means that you can display decimal number 4970 to binary in mathematical terms as follows:

4970₁₀ = 1001101101010₂

Decimal to Binary Converter
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