# How to convert hexadecimal to octal ?

Using the below two methods, we can convert the hexadecimal number system into the octal number system.

1. Convert the hexadecimal number into **binary** and then convert the binary into octal.

2. Convert the hexadecimal number into **decimal** and then convert the decimal into octal.

Let's convert the hexadecimal number into the octal number system.

Hexadecimal Number System

Decimal Number System

Octal Number System

Binary Number System

## Hexadecimal Binary Octal

Let's convert (ff)_{16} into Octal.

#### Step 1: Convert (ff)_{16} into Binary

In order to convert the hexadecimal number into binary, we need to express every hexadecimal value using 4 binary bits.

Binary equivalent of **f** is **(1111) _{2}**

= (ff)_{16}

= (1111)(1111)

= (11111111)_{2}

#### Step 2 : Convert (11111111)_{2} into Octal

In order to convert the binary number into octal, we need to group every 3 binary bits and calculate the value[From left to right].

#### (11111111)_{2} in Octal

= (11111111)_{2}

= (11)(111)(111)

= (377)_{8}

This method is relatively easy compared to the below method.

## Hexadecimal Decimal Octal

#### Step 1 : Convert (ff)_{16} into Decimal

f equivalent decimal is 15.

= 15*16^{1}+15*16^{0}

= 240+15

= (255)_{10}

#### Step 2 : Convert (255)_{10} into Octal

8|255 ---- 8|31 -7---- 8|3-7= (377)

_{8}