Hex ⇄ Octal Converter

Hex - Octal Converter, work with steps, solved example problems and conversion table to learn, practice and verify hex to octal or octal to hex conversion involved in digital electronics & communications. The numbers and alphabets 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F are known as hexadecimal numbers and represented by base-16 notation. Whereas, the digits 0, 1, 2, 3, 4, 5, 6 & 7 are known as octal numbers generally represented by base-8 notation. Supply Hex input values and generate the step by step work for hex to octal conversion. Similarly, supply Octal input values and generate step by step work for octal to hex conversion.

Method for 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)₁₆ to its octal equivalent.

Method for Octal to Hex Conversion

Similarly, the octal to hex number conversion can be done by following the below steps.

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

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

Example Problem
Convert octal number (7 5 2)₈ to its equivalent hexadecimal.

Number Conversion Table
The below is the conversion table for Decimal, Binary, Hex & Octal number systems.

Conversion Table for Decimal, Binary, Hex and Octal Number Systems

Decimal	Binary	Octal	Hex
0	0000	0	0
1	0001	1	1
2	0010	2	2
3	0011	3	3
4	0100	4	4
5	0101	5	5
6	0110	6	6
7	0111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F

Users can use the above converter, work with steps, solved examples and conversion table to learn, practice and verify how to do hex to octal and octal to hex conversions efficiently.