Question

If $log2=0.30103$, find the number of digits in $2^{56}$.

• A. $17$
• B. $31$
• C. $24$
• D. $36$

Answer 1

The correct option is A $17$

Let $N=2^{56}$

$\log N=\log \left(2^{56}\right)=56\times 0.30103=\mathrm{16.85768.}$

Its characteristics is $16$.

Hence, the number of digits is one more than characteristics.Number of digits in $2^{56}$ is $17$.