Question

Hello guys want a good answer
Please convert Hexadecimal to Octal :
$(6e0a)_{16}$

Answer 1

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Hex to Octal Conversion

One of the easiest conversion in digital electronics & communications. Follow the below steps to perform hex to octal number conversion.

step 1: Separate the digits of the given hex number, if it contains more than 1 digit.
step 2: Find the equivalent binary number for each digit of octal number. Add 0's to the left if any of the binary equivalent is shorter than 4 bits.
step 3: Write the all groups binary numbers together, maintaining the same group.
step 4: Separate the binary digits into groups, each containing 3 bits or digits from right to left. Add 0s to the left, if the last group contains less than 3 bits.
step 5: Find the octal equivalent for each group.
step 6: Write all octal equivalent of each digit together where keeping the same order provides the octal equivalent for the given hexadecimal.

Solved Example Problem
The below solved example problem may useful to understand how to perform hex to octal number conversion.

Example Problem
Convert the Hexadecimal (B 5 A)16to its octal equivalent.



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Answer 2

Given hexadecimal Equivalent is (6EOA)₁₆.

(i)

⇒ Separate the digits

6  E  O  A

(ii)

⇒ Find the equivalent binary number for each digit of hexadecimal number.

110 1110 0000  1010

(iii)

⇒ Separate the binary digits into groups.

110 111 000 001 010.

(iv)

⇒ 6 7 0 1 2.

Therefore, the octal equivalent is (67012)₈.

Hope it helps!