How many digits?

Computer Science Level 1

How many digits are required to represent decimal 64 in base 2 ( binary )?

The answer is 7.

1 solution

Karleigh Moore
May 23, 2016

7 digits.

$d = \lfloor(\log_2(64) +1)\rfloor = 7$

$2^6$	$2^5$	$2^4$	$2^3$	$2^2$	$2^1$	$2^0$
64	32	16	8	4	2	1

In binary, decimal $64$ can be represented as $1000000$ .