Question

What is the decimal equivalent of the 25 digits of hexadecimal number ${\left(\mathrm{100....001}\right)}_{16}$ ?

• A. $2^{23}+1$
• B. $2^{24}+1$
• C. $2^{92}+1$
• D. $2^{96}+1$

Answer 1

Answer: (D)

$2^{96}+1$

The decimal equivalent of the 25 digits of given hexadecimal number is
given as below
As the first and the last unit places are 1's and other values are zero.,
${16}^{24}$ + ${16}^0$
= $2^{4\times 24}$ + 1
= $2^{96}$ +1
Hence, answer is option D