Question

How many digits are there in the product of $2^{101}$?

• A. 31
• B. 30
• C. 40
• D. 41

Answer 1

The correct option is A 31

$2^{10}=1.024\times {10}^3$ ---(1)
Using similar logic
$2^{100}=(1.024{)}^{10}\times {10}^{30}$
therefore 31 digits.