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Decimal to Any Number System Conversion

Posted on March 4, 2023June 19, 2025 By vlsifacts No Comments on Decimal to Any Number System Conversion

The following technique is used to convert a decimal number to any number system.

Technique

  • Divide by ‘X’, where ‘X’ is the base/radix of the number system
  • Keep track of the remainder
  • Repeat the process till the quotient becomes ‘0’
  • Collect the reminders from bottom to top

Decimal to Binary Conversion

Example: 12510 = ?2

Example of Decimal to Binary Conversion

Decimal to Octal & Decimal to Hexadecimal Conversion

Example: 123410 = ?8

Example of Decimal to Octal Conversion

Example: 123410 = ?16

Example of Decimal to Hexadecimal Conversion

For a detailed explanation, watch the following lecture video.

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Related posts:

  1. Conversion of Number Systems
  2. Any Number System to Decimal Conversion
  3. Octal to Binary & Hexadecimal to Binary Conversion
  4. Binary to Octal & Binary to Hexadecimal Conversion
Digital Electronics Tags:Conversion of Number Systems, Decimal to Binary, Decimal to Hexadecimal, Decimal to Octal

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