Denary to Octal : Sum of Place Values

[B]   Sum of PVs   Chain

Example: Convert the denary number 13351 to octal.

   
4096 512 64 8 1

For each column from left to right:         13351
  Find how many times the weighting     3x4096 =   -12288
    is included in the denary number.         1063
  That number is the octal digit     2x512 =   -1024
    1, 2, ..., 7 for that column.         39
  Subtract that number of weightings     0x64 =   -0
    from the denary number.         39
      4x8 =   -32
          7
      7x1 =   -7
The complete octal number is:     32047   0