Answer:
Yes
Explanation:
Yes this statement is always true.
Starting from right the first digit represents 1 and second digit represents 2 and so forth.
Starting from right the sequence becomes
1,2,4,8,16,32,62,128 for 8 binary digits
If 1 is written then we count it else for 0 we don't count it
for example 01 means 1 and 10 means 2 and 11 means 3 as 2+1=3
for 01000001 only place that is filled is for 1 and 64 therefore complete decimal digit shall be 64+1=65 and it would always remain same.
In subscript of 2 we can write
, where n=0,1,2,3,4,...
For first digit from right
will be
which is 1. For second digit from right
which will be 2 so on and so forth.
For this question we have
and
which will be 1+64=65