Base 2 Conversion: How to Convert Numbers to Binary

What is the process to convert a number to base 2 (binary)?

How can we convert a decimal number like 105 to its base 2 representation?

Step-by-Step Guide to Converting Numbers to Binary:

When converting a number to base 2 (binary), the key is to use the division by 2 methodically. Here's how you can convert a number like 105 to binary:

1. Start by dividing the decimal number by 2.

2. Write down the remainder (0 or 1) after each division.

3. Divide the quotient (result of the previous division) by 2 and repeat step 2.

4. Continue this process until the quotient becomes 0.

5. Arrange the remainders from bottom to top to get the binary representation of the original number.

6. In the case of converting 105 to binary, the result is 1101001.

By following these steps, you can convert any decimal number to its binary equivalent.