Decimal value of binary 0001 – UGC NET Question

The binary number 0001 has a 1 only in the 2^0 place, which has a weight of 1. All higher-order bits are zero, so they do not contribute to the value. Therefore, the decimal equivalent is simply 1.

Option A:
Option A is correct because it reflects a single 1 in the least significant bit position, giving a value of 1. This is the smallest positive nonzero integer representable in binary.

Option B:
Option B, 0, would require all bits to be zero. Since there is a 1 present, the number is not zero.

Option C:
Option C, 2, corresponds to 0010₂, where the 2^1 bit is set instead of the 2^0 bit. This pattern does not match 0001₂.

Option D:
Option D, 4, would be represented by 0100₂. In 0001₂, the 4's position is zero, so 4 cannot be the correct value.