625 Binary to Decimal Conversion
Binary number systems are used in computers and other electronic devices to represent information. One common conversion that is often required is converting binary numbers to decimal numbers. In this article, we will show you how to convert the binary number 625 to decimal.
What is Binary?
Binary is a number system that uses only two digits: 0 and 1. This is in contrast to the decimal system, which uses 10 digits from 0 to 9. Binary is used in computers because it can be easily represented using electronic switches, which can be either on (1) or off (0).
What is Decimal?
Decimal is a number system that uses 10 digits from 0 to 9. This is the number system that most people are familiar with and use in everyday life.
Binary to Decimal Conversion
To convert a binary number to decimal, you can use the following steps:
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Write down the binary number: Start by writing down the binary number you want to convert. In this case, the binary number is 625.
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Split the binary number into groups of 3: Split the binary number into groups of 3 digits, starting from the right. This is because each group of 3 digits in binary corresponds to one digit in decimal.
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Convert each group to decimal: Convert each group of 3 digits to decimal using the following formula:
- 2^2 * (first digit) + 2^1 * (second digit) + 2^0 * (third digit)
For example, if the group is 101, the conversion would be:
* 2^2 \* 1 + 2^1 \* 0 + 2^0 \* 1 = 4 + 0 + 1 = 5
Converting 625 to Decimal
Using the steps above, we can convert the binary number 625 to decimal as follows:
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Write down the binary number: 625
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Split the binary number into groups of 3: 6 25
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Convert each group to decimal:
- 6 = 2^2 * 0 + 2^1 * 1 + 2^0 * 0 = 2 + 0 + 0 = 2
- 25 = 2^2 * 1 + 2^1 * 0 + 2^0 * 1 = 4 + 0 + 1 = 5
Therefore, the decimal equivalent of the binary number 625 is 25.
Conclusion
In this article, we have shown you how to convert the binary number 625 to decimal. This is a useful skill to have, especially if you are working with computers or electronic devices. With practice, you can become proficient in converting binary numbers to decimal and vice versa.
