Binary numbers are numbers that use only two digits: 0 and 1. They are used by computers and other electronic devices because they are easy to store and process. Decimal numbers are numbers that use ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. They are used by humans because they are familiar and convenient.
To convert a binary number to a decimal number, we need to follow these steps:
• Write down the binary number and count the powers of 2 from right to left. The powers of 2 start from 0 and increase by 1 for each digit. For example, if the binary number is 1011, then the powers of 2 are:
• Multiply each digit by the corresponding power of 2 and add the results. For example, if the binary number is 1011, then we multiply and add as follows:
8 + 0 + 2 + 1 = 11
• The final answer is the decimal number that is equivalent to the binary number. For example, the decimal number for the binary number 1011 is 11.
Let’s try another example. What is the decimal number for the binary number 11001?
First, we write down the binary number and count the powers of 2 from right to left:
Next, we multiply each digit by the corresponding power of 2 and add the results:
16 + 8 + 0 + 0 + 1 = 25
The final answer is the decimal number that is equivalent to the binary number. The decimal number for the binary number 11001 is 25.
Hopefully, this blog post has helped you understand how to convert binary numbers to decimal numbers. Follow my website if you are interested in learning more about binary numbers and other number systems, I will soon upload other topics as well.