# How do you convert decimal to binary?

#### Understand the Problem

The question is asking for the method to convert numbers from decimal (base 10) to binary (base 2). This involves understanding how to represent decimal numbers using only the digits 0 and 1.

1101

To convert the decimal number 13 to binary, the answer is 1101

#### Steps to Solve

1. Identify the decimal number to convert

Choose the decimal number you want to convert to binary. For this example, let's use the number 13.

1. Divide the number by 2 and record the remainder

Divide the decimal number by 2 and record the remainder. This remainder will be a binary digit. Continue dividing the result by 2 and recording the remainders until you get a quotient of 0.

For 13: $$13 \div 2 = 6 \text{ remainder } 1$$ $$6 \div 2 = 3 \text{ remainder } 0$$ $$3 \div 2 = 1 \text{ remainder } 1$$ $$1 \div 2 = 0 \text{ remainder } 1$$

1. Write down the remainders in reverse order

The remainders recorded from the last division to the first give you the binary representation of the decimal number. Write them in reverse order to get the final answer.

For 13, the remainders in reverse order are: $$1101$$

To convert the decimal number 13 to binary, the answer is 1101