The 1's complement of a binary number is obtained by inverting each bit, changing 0 to 1 and 1 to 0. For 010101, flipping each bit produces 101010. This new pattern is the 1's complement and reflects bitwise inversion of the original number.
Option A:
Option A repeats the original pattern without any inversion. Since 1's complement requires changing each bit, leaving the number unchanged cannot be correct.
Option B:
Option B, 010110, differs from the original in only one bit, which is insufficient for a full complement. 1's complement must invert all bits, not just some.
Option C:
Option C is correct because it flips 0β1 and 1β0 at every position, giving 101010 from 010101. This is the precise definition of 1's complement and is used in some earlier signed number representations.
Option D:
Option D, 101101, changes several bits but not in a simple inversion pattern. Some positions do not reflect the opposite of the original bits, so it is not a valid 1's complement.
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