Decimal of binary ten – UGC NET Question

The binary number 10₂ has a 1 in the 2^1 place and a 0 in the 2^0 place. This gives 1×2 + 0×1 = 2. Therefore, the decimal value corresponding to 10₂ is 2.

Option A:
Option A, 1, corresponds to 1 in binary, which is written as 1₂ or 0001₂. It does not match the pattern 10₂ where a higher place is set.

Option B:
Option B is correct because the only nonzero bit is in the 2's position, giving a value of 2. This simple conversion is often the first example when learning binary.

Option C:
Option C, 3, would correspond to 11₂, where both the 2's and 1's bits are set. Since 10₂ has only one bit set, 3 is not appropriate.

Option D:
Option D, 4, would be represented by 100₂. The given number has only two bits, so it cannot represent 4.