Chapter 2

Q. 2.6

Convert an octal number (6407.2)_{8} into its corresponding decimal number.

Step-by-Step

Verified Solution

\overset{(6}{\underset{110}{\downarrow }}   \overset{4}{\underset{100}{\downarrow }}   \overset{0}{\underset{000}{\downarrow }}   \overset{7  .}{\underset{111  .}{\downarrow }}  \overset{ 2)_{8}}{\underset{010}{\downarrow }}

Thus, (6407.2)_{8} = (110100000111.010)_{2}.