11011001000000111
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The binary equivalent of the decimal number 63 is 111111.
111111 in binary is 255 in decimal which is FF in hexadecimal (i.e. 15 units and 15 16s)
63 = 111111
The largest number that can be expressed in six bit binary is 111111, or 63. That however is not prime. Counting down from there, we can see that the first prime below that is 61, which is the answer to the question. Expressed in binary, that would be 111101.
51 in binary is... 110011