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Any Number System to Decimal Conversion

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

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

Technique

  • Multiply each bit by Xn, where ‘X’ is the base and ‘n’ is the “weight” of the bit
  • Add all the results to get the final decimal number

Examples

1010112 = 1×25 + 0x24 + 1×23 + 0x22 + 1×21 + 1×20 = 32 + 0 + 8 + 0 + 2 + 1 = 4310

7248 = 7×82 + 2×81 + 4×80 = 7×64 + 2×8 + 4×1 = 448 + 16 + 4 = 46810

ABC16 = Ax162 +Bx161 +Cx160 = 10×256 + 11×16 + 12×1 = 2560 + 176 + 12 = 274810

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Related posts:

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

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