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Hexadecimal is closely related to binary numbers. There are 16 digits, or enough to hold 4 bits of information (or a half a byte, also called a nibble). Two hex numbers will represent a byte, or 8 bits.
The basic hex digits are: 0 1 2 3 4 5 6 7 8 9 A B C D E F then starting over with 10.
2 digits in Hex give you the numbers from 00 to FF in hex, the numbers from 0000 0000 to 1111 1111 in binary and the numbers 0 to 255 in decimal.
Let's start with a binary / Decimal / Octal / Hex table.
Binary Decimal Octal Hex 00 0000000000 00 0001010101 00 0010020202 00 0011030303 00 0100040404 00 0101050505 00 0110060606 00 0111070707 00 1000081008 00 1001091109 00 101010120A 00 101111130B 00 110012140C 00 110113150D 00 111014160E 00 111115170F 01 0000162010 01 0001172111 01 0010182212 01 0011192313 01 0100202414 01 0101212515 01 0110222616 01 0111232717 01 1000243018 01 1001253119 01 101026321A 01 101127331B 01 11002834
1C 01 110129351D 01 111030361E 01 111131371F 10 0000324020
Ok,
because the binary progresses on factors of 2, the octal and hex are easier to follow.
Any number ending in "7" in hex or octal will always end in "111" in binary.
Any number ending in "F" in hex will always end "1111" in binary.
Since Decimal doesn't use a base that is a power of 2, the numbers don't line up the same.
You can convert from Hex to Decimal by breaking out each digit and multiplying by the base.
Multiply the one's digit by 16^0 or 1
Multiply the tens digit by 16^1 or 16
Multiply the hundreds digit by 16^2 or 256
Multiply the thousands digit by 16^3 or 4096, etc.
And add them all up.
So, to convert: 3CF2 to decimal, you would:
Multiply 2*1 = 2
Multiply F (15) * 16 = 240
Multiply C (12) * 256 = 3072
Multiply 3 * 4096 = 12288
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2 + 240 + 3072 + 12288 = 15602
Converting each digit to binary (using the table above if you want), you get:
0011 1100 1111 0010
To convert the other way, you keep dividing by 16, and keeping the "remainder" for the digit.
15602 / 16 = 975 r 2 --> 2
975 / 16 = 60 r 15 --> F
60 / 16 = 3 r 12 --> C
3 / 16 = 0 r 3 --> 3
Put it back together and you get the number above: 3CF2
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How do you convert a number value to hexadecimal?
Hint, read your text book. It is not that hard to do.
Can the number 10 represent a hexadecimal number?
Yes, the hexadecimal number 16.
What are computer codes'4bcd6bcd8bcd'?
That would be a Hexadecimal code.
What is hexadecimal number for11101011000111010 can be written in hexadecimal as?
D63A
Why should one study octal and Hexadecimal systems when the digital machine understands only binary system?
Octal and hexadecimal numbers are useful for humans as they compactly represent binary numbers:each octal digit represents exactly 3 binary digitseach hexadecimal number represents exactly 4 binary digitsFor example, instead of trying to read (and remember) the binary number 100111001001 it can be represented as hexadecimal 0x09c9 or octal 04711 which are easier to read (and remember) for humans.
What letter is used to represent the number 11 in hexadecimal?
The number 11, (in hexadecimal) is the letter 'b'
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.
In the hexadecimal numbering system what represents the number 11?
The decimal number 11 is equal to the hexadecimal number B.
What is 1976 in hexadecimal?
The decimal number 1976 is represented in hexadecimal as 7B8.
What is 999910 in hexadecimal?
The value in hexadecimal of the decimal number 999910 is F41E6.
What is meant by hexadecimal color codes?
Hexadecimal colour codes are codes comprising six hexadecimal digits in whichthe first two digits represent the red colour typethe middle two digits represent the green colour typethe last two digits represent the blue colour typeSince two hexadecimal digits give 256 values, the 6 digit code can represent 16,777,216 colours.
How many digits in octal and hexadecimal number?
8 in octal, 16 in hexadecimal.
