you missed another typo - 2 is binary 10, not 100

To flesh out the reasoning:

   DECIMAL          BINARY               TRUE / FALSE
   =============    =================    ============
   0  & 2  == 0     000 & 010  == 000    FALSE
   1  & 2  == 0     001 & 010  == 000    FALSE
   2  & 2  == 2     010 & 010  == 010    TRUE
   3  & 2  == 2     011 & 010  == 010    TRUE
   4  & 2  == 0     100 & 010  == 000    FALSE
   5  & 2  == 0     101 & 010  == 000    FALSE
   6  & 2  == 2     110 & 010  == 010    TRUE
   7  & 2  == 2     111 & 010  == 010    TRUE
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