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Octal equivalent of the Binary number (10110)2(10110)_2(10110)2​​ is:
Question

Octal equivalent of the Binary number (10110)2(10110)_2​ is:

A.

26

B.

52

C.

62

D.

16

Correct option is A

To convert the binary number (10110)2(10110)_2​ to its octal equivalent, follow these steps:
1. Group the binary number in groups of 3 bits starting from the right:
1011001011010110 \rightarrow 010110​​
(We add an extra 0 on the left to make a complete group of 3.)
2. Convert each group of 3 binary digits into their octal equivalent:
· 010 in binary is 2 in octal.
· 110 in binary is 6 in octal.
3. Combine the octal digits:
· The result is 26 in octal.
Thus, the octal equivalent of the binary number (10110)2(10110)_2​ is 26.
Important Key Points:
1. Binary to Octal Conversion: Group the binary number into sets of 3 digits, starting from the right. If necessary, add leading zeros. Then, convert each group to its octal equivalent.
2. Octal Representation: Octal uses base 8, so each group of 3 binary digits corresponds to a single octal digit.

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