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Missing Tetradecimal Digits Determination (Posted on 2023-06-22) Difficulty: 3 of 5
If the tetradecimal (base 14) number c#95d# is divisible by the tetradecimal number 76, then determine the missing digits.

Note: Each hash represents a digit, whether same or different.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution computer solution | Comment 1 of 10
Each octothorpe (pound sign, number sign, hash) is a 6, as

clearvars,clc
for d1d=1:13
  d1=dec2base(d1d,14);
  for d5d=0:13
    d5=dec2base(d5d,14);
    ndec=base2dec([d1 '95D' d5],14);
    if mod(ndec,7*14+6)==0
      fprintf('%s %8d\n',[d1 '95D' d5],ndec)
    end
  end
end

finds

695D6     256360
base-14  decimal

as being the number divisible by decimal 104, the quotient being 2465, or C81 in base 14.


  Posted by Charlie on 2023-06-22 13:43:26
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