Convert the number to the octal system.
1 111 111 two

A) 377 eight
B) 170 eight
C) 167 eight
D) 177 eight
E) 176 eight

Question

Convert the number to the octal system. ​
1 111 111 two
​
A) 377 eight
B) 170 eight
C) 167 eight
D) 177 eight
E) 176 eight

Quizplus · Accepted Answer

To convert a binary number to octal, we group the digits in sets of three (starting from the right) and convert each group to its corresponding octal digit.
1 111 111
Grouping into sets of three: 1 111 111
Converting each group to octal:
001 (1) 111 (7) 111 (7)
Therefore, the answer is 177 in base 8 (octal).

Convert the Number to the Octal System. ​

Convert the Number to the Octal System.