-89 can be represented by using 8-bit two's compliment as 10100111.
Binary encoding can be defined as a standard technique that is designed and developed to convert data in plain text (source alphabets) to a form that is easily used by different operating systems (OS), especially through the use of a binary digit (bit) or two-symbol system.
In Computer programming, two's complement of base-10 is generally easier to implement because it has a single representation of 0 only.
First of all, we would determine the positive version of -89, which is 89:
2 | 89
2 | 44 R 1
2 | 22 R 0
2 | 11 R 0
2 | 5 R 1
2 | 2 R 1
2 | 1 R 0
2 | 0 R 1
Next, you would read the decimal number (base-2) upward and this gives:
89₂ = 01011001.
For the negative integer number representation on 8-bits, we would replace all the 0s with 1s and the 1s with 0s as follows:
01011001 = 10100110
For the 8-bit two's complement, we would add 1 to the above number:
-89 = 10100110 + 1
-89 = 10100111.
Read more on binary encoding here: brainly.com/question/13100118
#SPJ1
