Sunday Times Teaser 2543 – Hit and Miss
by Victor Bryant
Published: 19 June 2011 (link)
For calculations using arithmetic in a base higher than 10 I need symbols for the higher “digits”. My digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A(=10), B(=11), C(=12), etc, using as many letters as necessary. But some numbers are ambiguous. Eg in HIT and in MISS it is unclear whether the second digit is the number 1 or the letter I. So there are four interpretations of HIT + MISS. I’ve taken one of those four interpretations and worked out its remainder when dividing by four. If you knew the remainder you could work out which base I am using.
What is that base?