Decimal value of 2 power 5 – UGC NET Question

The expression 2^5 means 2 multiplied by itself five times, which gives 32. In a binary number, the bit in the 2^5 position therefore has a weight of 32. When that bit is set to 1, it contributes 32 to the decimal value of the number.

Option A:
Option A is correct because calculating 2×2×2×2×2 results in 32. This is a fundamental power of two frequently used in computing.

Option B:
Option B, 16, corresponds to 2^4, not 2^5. It therefore has a smaller weight than required.

Option C:
Option C, 64, is 2^6, which is one exponent higher than the requested position. It represents a larger place value than 2^5.

Option D:
Option D, 8, is equal to 2^3 and corresponds to a different bit position in a binary number. It cannot represent the value of the 2^5 place.