The result of binary addition of - 8 and - 2 in two's complement form is :

To perform the binary addition of -8 and -2 in two's complement, we first represent the numbers in binary. Since the sum (-10) falls outside the range of 4-bit signed integers (-8 to +7), we must use at least 5 bits (range -16 to +15).

• Represent -8 in 5-bit: Positive 8 is 01000. Its 1's complement is 10111. Adding 1 gives 11000.
• Represent -2 in 5-bit: Positive 2 is 00010. Its 1's complement is 11101. Adding 1 gives 11110.
• Addition:
  11000 (-8)
  + 11110 (-2)
  ----------
  110110

In two's complement addition, the carry-out from the most significant bit (MSB) is discarded. Therefore, the 5-bit result is 10110. To verify: 10110 in two's complement is -(invert(0110) + 1) = -(01001 + 1) = -(01010)₂ = -10₁₀.