Binary representation and parity – UGC NET Question

Statements A, B, D and E are correct binary facts. A describes the positional value system in base 2. B is true because an odd number has last bit 1 and an even number has last bit 0. D correctly states the conversion method from binary to decimal. E is true for multiples of 4, whose binary form ends with two zeros. C is false; adding 1 flips only a block of trailing ones and the bit after that, not necessarily all bits. Therefore, A, B, D and E only are correct.

Option A:
Option A is incomplete since it omits E, thereby missing a useful rule for recognising multiples of 4 from binary patterns, which is sometimes tested in reasoning questions.

Option B:
Option B is incorrect because it includes C, wrongly claiming that adding 1 always flips all bits, which contradicts simple examples like 0010 becoming 0011.

Option C:
Option C is wrong since it leaves out A and includes only B, D and E, losing the fundamental statement about powers of 2 that underlies the entire binary system.

Option D:
Option D is correct because it gathers positional value, parity detection, conversion method and the multiple-of-4 criterion while excluding C, which misstates the effect of incrementing a binary number.