Conversion of binary number 101110₂ to octal is

A. 35₈

B. 46₈

C. 56₈

D. 50₈

E. None of the above

Answer: Option C

Solution(By Examveda Team)

101110 is 56 in octal form
(101110)₂ = (56)₈
Step 1: Write down the binary number (101110)₂
Group all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three.
= 101 110
Step 2: Use the table below to convert each set of three into an octal digit. In this case,
101 = 5, 110 = 6.
So, the number 56 is the octal equivalent to 101110 in binary.
To convert from binary to octal use the following table:

Bin:	000	001	010	011	100	101	110	111
Octal:	0	1	2	3	4	5	6	7