Question

Convert Octal A09_sixteen

Answer 1

Given:

Hexadecimal number = (A09)₁₆

To do:

Convert hexadecimal to octal

Steps to convert hexadecimal to octal:

Step 1: If the given hex number contains more than 1 digit, separate the digits.
Step 2: Find the equivalent binary number for each digit. Add 0's to the left if any of the binary equivalent is shorter than 4 bits.
Step 3: Group all the binary digits together into one group.
Step 4: Now separate the binary digits into groups, each containing 3 bits 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.

Solution:
Convert Hexa Decimal number to binary

A 0 9
1010 0000 1001

(A09)₁₆ = (101000001001)₂

Convert Binary Number into Octal Number
Split the binary number from left to right each group 3 bits
101 000 001 001
5 0 1 1

(101000001001)₂ = (5011)₈

The octal number is 5011.