12 in Base 10 to Binary: A Step-by-Step Conversion Guide
In this article, we will learn how to convert the decimal number 12 to its binary equivalent. Binary is a number system that uses only two digits: 0 and 1. It is the language of computers and is used to represent data and perform calculations.
What is Base 10?
Before we dive into the conversion process, let's quickly review what base 10 is. Base 10, also known as the decimal system, is a number system that uses 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most commonly used number system in everyday life.
Converting 12 to Binary
To convert 12 to binary, we can use the following steps:
Step 1: Divide 12 by 2
12 ÷ 2 = 6 with a remainder of 0
Step 2: Divide 6 by 2
6 ÷ 2 = 3 with a remainder of 0
Step 3: Divide 3 by 2
3 ÷ 2 = 1 with a remainder of 1
Step 4: Divide 1 by 2
1 ÷ 2 = 0 with a remainder of 1
Binary Representation of 12
Now, let's write down the remainders in reverse order to get the binary representation of 12:
1100
Therefore, the binary equivalent of 12 in base 10 is 1100.
Conclusion
In this article, we learned how to convert the decimal number 12 to its binary equivalent using a step-by-step process. We hope this helps you understand the conversion process and appreciate the importance of binary in computer systems.
