In 16-bit 2’s complement representation, the decimal number −28 is:

Answer: 1111 1111 1110 0100

Steps:

• Write +28 in 16 bits: 0000 0000 0001 1100.

• Invert all bits (one's complement): 1111 1111 1110 0011.

• Add 1 to get two's complement: 1111 1111 1110 0100.

• Verify by converting back: invert 1111 1111 1110 0100 -> 0000 0000 0001 1100, add 1 -> 0000 0000 0001 1100 = 28, confirming the negative representation is -28.

Note: The 8-bit two's complement for -28 is 1110 0100; sign-extending that to 16 bits gives the same result: 1111 1111 1110 0100.