Octal number:

50446

(5126)16 = (50446)8

Please enter all the details correctly.

In the field of computer programming and digital electronics, hexadecimal (base 16) and octal (base 8) are often used for numerical representation.

If you need to convert a hexadecimal number to an octal, the process involves converting each hexadecimal digit into four binary digits and then grouping the binary digits into groups of three to obtain the corresponding octal digit.

In this guide, we’ll provide step-by-step instructions on how to convert hexadecimal to octal, along with an example and reference tables.

## Steps to Convert Hexadecimal to Octal

1. Convert each hexadecimal digit into four binary digits using the table below.
00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
A1010
B1011
C1100
D1101
E1110
F1111
1. Group the binary digits into groups of three, starting from the least significant digit.

2. Convert every group of three binary digits into one octal digit using the table below.

Binary (base 2)Octal (base 8)
0000
0011
0102
0113
1004
1015
1106
1117
1. Write the octal digits in reverse order to obtain the final result.

Example: Converting Hexadecimal 6C16 to Octal

1. Convert the hexadecimal digits into binary digits using the table.
60110
C1100

Therefore, 6C16 in hexadecimal is equivalent to 0110110011002 in binary.

1. Group the binary digits into groups of three, starting from the least significant digit.
Binary (base 2)Binary GroupingOctal (base 8)
01101106
11000113
01001004

Therefore, 0110110011002 in binary is equivalent to 1548 in Octal digits.

## Reference Tables

00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
A1010
B1011
C1100
D1101
E1110
F1111

### Binary to Octal Conversion Table

Binary (base 2)Octal (base 8)
0000
0011
0102
0113
1004
1015
1106
1117

## Conclusion

Converting hexadecimal to octal involves converting each hexadecimal digit to four binary digits and then grouping the binary digits into groups of three to obtain the corresponding octal digit. Remember to use the reference tables provided to help you with your conversions.

With these steps and tables, you can easily convert hexadecimal to octal, which is useful in digital electronics and computer programming.