Value of 10-bit two’s complement 1110110111 – UGC NET Question

In 10-bit two's complement, a leading 1 indicates a negative number. To find its value, we subtract 2¹⁰ from its unsigned value. The unsigned value of 1110110111₂ is 951, and 951 - 1024 = -73. Hence, the binary pattern 1110110111₂ represents -73 in decimal. Therefore, option B is correct.

Option A:
Option A, -37, would correspond to a different 10-bit two's complement bit pattern. The given pattern decodes to -73, so -37 cannot be correct here.

Option B:
Option B aligns with the computation where unsigned 951 is adjusted by subtracting 1024 for 10-bit two's complement, yielding -73. Thus it matches the correct decoding.

Option C:
Option C, -165, would require a different two's complement pattern with a larger negative magnitude. The given bit pattern does not decode to -165.

Option D:
Option D, -101, does not match the computed decoding (951 - 1024). Therefore, it is incorrect.