work out the 8-bit binary two's compliment of the number -2base10
To find the 8-bit binary two's complement of -2base10, we first need to represent -2 in binary.
-2base10 is represented as 11111110 in 8-bit binary because:
- 1 x 2^7 = 128
- 1 x 2^6 = 64
- 1 x 2^5 = 32
- 1 x 2^4 = 16
- 1 x 2^3 = 8
- 1 x 2^2 = 4
- 1 x 2^1 = 2
- 0 x 2^0 = 0
128 + 64 + 32 + 16 + 8 + 4 + 2 + 0 = 254
This is the one's complement of -2base10.
To find the two's complement, we add 1 to the one's complement:
11111110 + 00000001 = 11111111
Therefore, the 8-bit binary two's complement of -2base10 is 11111111.