Computer Music (MUSC 216)
Counting in Bases

 

Here is a table for converting a number from any base to DECIMAL. The table shows examples of converting the number: 1111. For example:

Binary 1111 = Decimal 15
Octal 1111 = Decimal 585
Hexidecimal 111 = Decimal 4369

Base:
Binary		 1 1 1 1
Answer
  Cube the base, then multiply that result by whatever number is in this column. Square the base, then multiply that result by whatever number is in this column. Multiply the number in this collum by the base. Multiply the number in this collumn by 1.

 
Binary 8 4 2 1
15
Octal 512 64 8 1
585
Decimal 1000 100 10 1
1111
Hexadecimal 4096 256 16 1
4369

 

Base:
Decimal		 8 7 6 5
Answer
Base Cube the base, then multiply that result by whatever number is in this column. Square the base, then multiply that result by whatever number is in this column. Multiply the number in this collum by the base. Multiply the number in this collumn by 1.

Add all the colums:
Octal 4096 448 48 5
4597
Decimal 8000 700 60 5
8765
Hexadecimal 64,768 1792 96 5
66,661


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