Find a 4x4 magic square with magic constant being 188 (base ten) and each of whose 16 entries is a non leading zeroes positive binary palindrome.

*** Disregard rotations and reflections.

(In reply to

re(3): No Subject by Steve Herman)

I find your remarks inconsistent: you can't have your cake and eat it.

While it is true that classic definition of magic squares assumes an array of distinct digits (default 1 to n^2) there are numerous magic squares deviating from this default definition (use only primes, define sum other .5*n*(n+1), squares that remain magic rotated by 180 etc). Although some of these non-orthodox squares clearly imply (like in the binary palindrome case) use of repeated numbers, it would be nice to address the issue in the puzzle's text. I agree.

By the same token the standard notation of numbers is without leading zeroes: 2 in binary is 10, not 010 and 4 is written 100, not 00100. Unless specifically stated - "no leading zero presentation" is assumed.

The OEIS listing has only one listing (not a single even number), assuming standard notation:

**A006995** ** Binary palindromes: numbers whose binary expansion is palindromic**

Even KS or SH, when told (without any disclaimer) to write 28 in binary, would without further questions choose 11100, not 011100 and not 000011100.

Hope you understand my reservations.

*Edited on ***December 25, 2015, 9:25 pm**