Answer:
The first 1 on the left is 32 and the 1 on the right is 2. Hence this 8 digits binary number represents 32 + 2 which is the decimal number 34
Explanation:
each 1 represents the number 2 powered by a different number, so starting at the further right, the first number with value 0 is representing [tex]2^{0}[/tex], the next on the left which is value 1 is representing [tex]2^{1}[/tex] which is 2 and so on. So the other 1 further on the left will be [tex]2^{5}[/tex] which is 32.
Every other digit that is zero is not taking any value, but if they were, they would all be taking values from [tex]2^{0}[/tex] to [tex]2^{7}[/tex] Take a look below:
0 0 1 0 0 0 1 0
32 2