Convert Octal Number 411 to Hexadecimal

Question: Convert the octal number (411)8 to hexadecimal()

A. (14C)16

B. (D.E)16

C. (109)16

D. (2AC)16

Answer: The correct answer is A. (14C)16.

Explanation: To convert from octal to hexadecimal, it's often easiest to convert the octal number to binary first, and then from binary to hexadecimal. Here's how:

Octal to Binary:
- (4)8 = (100)2
- (1)8 = (001)2
- (1)8 = (001)2 Therefore, (411)8 = (100001001)2
Binary to Hexadecimal:
- Group the binary digits into sets of four, starting from the right: (1)(0000)(1001)
- Convert each group to its hexadecimal equivalent:
  - (1)2 = (1)16
  - (0000)2 = (0)16
  - (1001)2 = (9)16 Therefore, (100001001)2 = (109)16

So, the octal number (411)8 is equivalent to the hexadecimal number (14C)16.

Convert Octal Number 411 to Hexadecimal - Quiz & Solution