How are the values 515 and -515 (base 10) represented in 16 bit excess notation? How are they?

Question

How are the values 515 ₁₀ and -515₁₀ represented in 16 bit excess notation?

Answer 1

From the details here:

Excess-N notation is simply a way of representing number where N is the zero point. You simply subtract the zero point from the encoded numbers to get the real numbers.

For a 16-bit excess representation, the zero point is 2¹⁵ or 32768.

Therefore, 515 would be represented as 32768 + 515, which is 33283₁₀, 0x8203 or binary 1000 0010 0000 0011.

Similarly, -515 would be represented as 32768 - 515, which is 33253₁₀, 0x7dfd or binary 0111 1101 1111 1101.