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the smallest possible number which is divisible by 3 and 5 or 7 represented by 2 digits either 0 or 1 then the maximum number of digits required to represented it is

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    The smallest such number is 3*5*7 = 105

    Since 64 <= 105 < 128
    or
    2^6 <= 105 < 2^7

    That will require 7 digits: 1101001

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