Question

For Students
Convert the following Decimal Numbers into Binary Numbers
2014​

Answer 1

Explanation:

DirectoryDecimal

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How to Convert 2014 to Binary

Decimal to Binary

Here we will show you step-by-step how to convert the decimal number 2014 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 2014 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 2014 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 2014 as a binary.

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

2014 / 2 = 1007 with 0 remainder

1007 / 2 = 503 with 1 remainder

503 / 2 = 251 with 1 remainder

251 / 2 = 125 with 1 remainder

125 / 2 = 62 with 1 remainder

62 / 2 = 31 with 0 remainder

31 / 2 = 15 with 1 remainder

15 / 2 = 7 with 1 remainder

7 / 2 = 3 with 1 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 2014 converted to binary is therefore:

11111011110