# How to convert octal to hexadecimal ?

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

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

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

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

## Octal Binary Hexadecimal

Let's convert (56)_{8} into hexadecimal

#### Step 1 : Convert (56)_{8} into Binary

In order to convert the octal number into binary, we need to express every octal value using 3 binary bits.

Binary equivalent of **5** is **(101) _{2}**.

Binary equivalent of **6** is **(110) _{2}**.

= (56)_{8}

= (101)(110)

= (101110)_{2}

#### Step 2 : Convert (101110)_{2} into Hexadecimal

In order to convert the binary number into hexadecimal, we need to group every 4 binary bits and calculate the value[From left to right].

#### (101110)_{2} in hexadecimal

= (101110)_{2}

= (10)(1110)

= (2)(14)

= (2e)_{16}

14 equivalent hexadecimal is **e**.

This method is relatively easy compared to the below method.

## Octal Decimal Hexadecimal

#### Step 1 : Convert (56)_{8} into Decimal

= 5*8^{1}+6*8^{0}

= 40+6

= (46)_{10}

#### Step 2 : Convert (46)_{10} into hexadecimal

16|46 ---- 16|2-14= (2e)

_{16}