#math trivia for #September20: #263 has no digits in common with its base-N representation for which N < 10? — Burt Kaliski Jr. (@modulomathy) September 21, 2013 The base-N representations of 263 for N = 2, …, 9 are: 100000111 base 2 100202 base 3 10013 base 4 2023 base 5 1115 base 6 524 … Continue reading

# Tagged with base representation …

## #math trivia #175 solution

#math trivia for #June23: #175 is 1200 base 5. In what other base(s) does it have a four-digit representation? — Burt Kaliski Jr. (@modulomathy) June 24, 2012 A four-digit representation base B covers numbers between B3 and B4-1. (As usual, it is assumed that the leading digit is at least 1.) Therefore, it’s sufficient to … Continue reading

## #math trivia #243 solution

#math trivia for #August31: #243 is 300 in base 9. Which other day-numbers (1-365) can be represented as 300 in some base? — Burt Kaliski Jr. (@modulomathy) September 1, 2013 If a number is represented as 300 base B, then it’s equal to 3*B2. The answer to the question can thus be found by enumerating … Continue reading