DLD Question

Question

How many digits are required to represent 126-bit binary number in decimal ??

Comments

binary to decimal?

Answer 1

The maximum no that can be represented in binary using 126 bits =  11....(126 times)

= 2¹²⁶ - 1

So to find number of digits in equivalent decimal notation , we do :

2¹²⁶ - 1 = 10^x

⇒x = Ceil(log(2¹²⁶ - 1))

⇒x = Ceil (37.93)

⇒x = 38

Hence number of digits required to represent any 126 bit binary number in decimal is 38 digits.