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Any base that is itself a power of 2 can be used to notate binary values. That is, base-4, base-8 (octal), base-16 (hexadecimal), base-32, and so on.

Binary is a base-2 counting system such that each digit represents one of two possible values (0 or 1). When we combine bits we double the number of possible values with each additional bit. Thus 2 bits can represent up to 4 possible values, 3 bits gives us 8 possible values and 4 bits gives us 16 possible values, and so on.

We normally deal with bits in groups of 4 because 2 groups of 4 gives us an 8-bit byte which is the norm for most systems. Thus we can reduce an 8-bit binary value from 8 binary digits to just 2 hexadecimal digits, thus giving us a convenient method of notating binary values with fewer digits and a trivial conversion.

Octal notation isn't used as much as hexadecimal notation, but if we wanted to use a 9-bit byte rather than an 8-bit byte (which is not an uncommon activity), octal notation is more convenient than hexadecimal because the 9-bit values can be treated as being exactly 3 groups of 3 bits.

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Q: Why is hexadecimal code used as a way of reducing binary code?
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Why is Hexadecimal used?

It is used because it is easier to convert to and from binary to hexadecimal than decimal, and it uses less characters than binary. For instance: decimal: 65535 hex: FFFF binary: 1111111111111111


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Is the octal number system used for business dealing in Pakistan?

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What is 10111010 in hexidecimal?

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What are the advantages of hexa decimal number system?

Computers do much of their processing in binary. Hexadecimal is used as a kind of shortcut (easier to read for humans): each hexadecimal digit represents four binary digits.


Why are MAC addresses written as six pair of Hexadecimal numbers?

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Why hex code use in micro-controller?

When you work in the field of microcontrollers, you have to deal with the hexadecimal code. Some people find it very confusing, but if you know the basics, it will be really easy for you to understand. The Intel Hex format is a standard for storing binary code in text format. It is widely used in programming microcontrollers. The Intel Hex code is used on manufacturers’ websites to provide firmware upgrades and data sheets. The Intel Hex format is also referred to as Bin HEX, u-code, or u-hex.


Where do they use hexadecimal system?

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ip adresses are put into the binary format so computers can make sense of them. hexadecimal is used for the same purpose.


Where is hexadecimal is used?

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What are number systems use in computer to store data and perform calculations?

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