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Binary to decimal

About Latest Binary to Decimal

In the field of computer science and digital electronics, converting between different number systems is a fundamental concept. One of the most common conversions is from  to decimal. Despite its simplicity, mastering this conversion lays the foundation for understanding the most complex topics in computing. In this article, we’ll delve into the complexities of-to-decimal conversion, exploring its importance and practical applications.

What is Decimal?

  •  Is a base-2 number system, consisting of only two digits: 0 and 1. In each digit represents a power of 2, with the rightmost digit representing 2020, the next representing 2121, then 2222, and so forth.
  • Decimal: Decimal, on the other hand, is a base-10 number system, consisting of ten digits: 0 through 9. In decimal, each digit represents a power of 10, with the rightmost digit representing 100100, the next representing 101101, then 102102, and so on.

How to Convert

Example: to Decimal Conversion

Let’s illustrate the conversion process with an example:

Binary Number: 101010

1×25+0×24+1×23+0×22+1×21+0×201×25+0×24+1×23+0×22+1×21+0×20

=32+0+8+0+2+0=32+0+8+0+2+0

=42=42

So, the decimal equivalent of the binary number 101010 is 42

Practical Applications:

  • Computer Programming: numbers are fundamental in representing data and instructions within computer systems. Converting  representations to decimals helps programmers understand and manipulate data more effectively.
  • Digital Electronics: In digital circuits,  numbers are used to represent voltage levels, making-to-decimal conversion essential for circuit design and analysis.
  • Networking: IP addresses, which are used for communication between devices on a network, are often represented in  form. Converting  IP addresses to decimal facilitates network troubleshooting and configuration.

Binary to Decimal

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Updated: 27 May 2024 — 19:17

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