If you use Windows, you can use the Windows calculator to convert from decimal to binary. Change to scientific mode, be sure the calculator is in decimal, type the decimal number, and switch to binary. If you are practicing decimal to binary conversion, this is a great tool to verify that you have done your calculations correctly.
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The binary equivalent of the decimal number 63 is 111111.
When written as a binary number, the decimal number 63 is: 1 1 1 1 1 1
63 = 111111
Assuming that is binary: 1111112 = 63
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.