Explanation
Step 1: Convert Hexadecimal to Binary
Each Hexadecimal digit represents 4 bits.
Combining them, we get the binary string:
(4DF)16=(010011011111)2
Step 2: Group Binary into sets of 3 (from right to left)
Octal digits represent 3 bits. We group our binary string into sets of three, starting from the rightmost bit:
Step 3: Convert each group to Octal
Now, convert each 3-bit binary group back into its decimal (octal) equivalent:
Combining these digits gives us the Octal number:
Conversion Summary Table
| Hexadecimal |
4 |
D (13) |
F (15) |
| Binary (4-bit) |
0100 |
1101 |
1111 |
| Regrouped (3-bit) |
010 |
011 |
011 |
| Octal Equivalent |
2 |
3 |
3 |
