What is the highest decimal number that can be represented b

What is the highest decimal number that can be represented by 11 bits pure binary? What is the largest positive and negative numbers using 12-bit, 2\'s complement representation?

Solution

a. 2¹¹-1= 2047

To get highest decimal number reprsented by n binary bits is 2ⁿ

b. Positive Number= 2¹¹-1 =2047 and negative number = -2¹¹=2048

The representation of n bit 2\'s complement is from -2^n-1 to 2 ^n-1-1