What is Octal?

Octal, a base-8 numerical system, employs a set of eight distinct symbols: 0–7. Unlike the usual decimal system with its ten digits (0–9), octal uses fewer symbols. Even if octal is not often used in modern computers as much as hexadecimal, it still matters. It's useful for special uses, like old computer systems. One thing that makes octal strong is its skill to show binary data neatly by putting three sets of one and zero signals together; this helps manage the information better.

What is Hexadecimal?

HEX, short for hexadecimal, is a kind of number system used in computers. It uses 16 numbers as its base to count. Unlike the decimal system, which relies on ten digits (0–9), hexadecimal introduces sixteen symbols: 0–9 and A–F. The first ten hexadecimal numbers are familiar:

zero, one, two, three, four, five, six, seven, eight, and nine.

The subsequent six are represented as:

A (10), B (11), C (12), D() and E.F.: Death follows me wherever I go, and he haunts my dreams at night.

HEX is a popular choice for computer programming and science because it easily works with binary code. It arranges binary information into sets of four pieces, making it easier to deal with binary data.

Octal to HEX Conversion Table

Example 1: Octal 65 to HEX

1. Octal to Binary:

   • 6 in Octal = 110 in Binary
   • 5 in Octal = 101 in Binary
   • Therefore, 65 in Octal = 110101 in Binary

2. Binary to Decimal:

   • 110101 in Binary = 1×25+1×24+0×23+1×22+0×21+1×201 \times 2^5 + 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^01×25+1×24+0×23+1×22+0×21+1×20
   • 110101 in Decimal = $32+16+0+4+0+1$
   • 110101 in Decimal = 53

3. Decimal to HEX:

   • 53 in Decimal = 35 in HEX

   Final Conversion:

   • 65 in Octal = 35 in HEX

Example 2: Octal 142 to HEX

1. Octal to Binary:

   • 1 in Octal = 001 in Binary
   • 4 in Octal = 100 in Binary
   • 2 in Octal = 010 in Binary
   • Therefore, 142 in Octal = 001100010 in Binary

2. Binary to Decimal:

   • 001100010 in Binary = 1×27+1×26+0×25+0×24+0×23+1×22+0×21+0×201 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 0 \times 2^01×27+1×26+0×25+0×24+0×23+1×22+0×21+0×20
   • 001100010 in Decimal = $64+32+0+0+0+4+0+0$
   • 001100010 in Decimal = 98

3. Decimal to HEX:

   • 98 in Decimal = 62 in HEX

   Final Conversion:

   • 142 in Octal = 62 in HEX

Example 3: Octal 377 to HEX

1. Octal to Binary:

   • 3 in Octal = 011 in Binary
   • 7 in Octal = 111 in Binary
   • 7 in Octal = 111 in Binary
   • Therefore, 377 in Octal = 011111111 in Binary

2. Binary to Decimal:

   • 011111111 in Binary = 1×28+1×27+1×26+1×25+1×24+1×23+1×22+1×21+1×201 \times 2^8 + 1 \times 2^7 + 1 \times 2^6 + 1 \times 2^5 + 1 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^01×28+1×27+1×26+1×25+1×24+1×23+1×22+1×21+1×20
   • 011111111 in Decimal = $256+128+64+32+16+8+4+2+1$
   • 011111111 in Decimal = 255

3. Decimal to HEX:

   • 255 in Decimal = FF in HEX

   Final Conversion:

   • 377 in Octal = FF in HEX

How To Use Our Octal to HEX Converter

• Put your octal number into the input box given for it.
• Click the "Convert" button.
• In a short time, the tool will give you the HEX version of your octal number.

You can easily copy the HEX result to use in your computer programming or data tasks.

Frequently Asked Questions (FAQs)

Why do I need to change octal into hex?

Turning octal to HEX is important for many computer uses, especially when working with certain systems or improving how we show and understand data.

Can I change HEX back to octal?

Yes, you can change HEX into octal by first changing it to binary and then switching that back into the last number system. This process is reversible.

Can other number systems be changed using online tools?

Definitely, OnlineToolsArena has a set of tools for different number systems like binary and decimal.

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