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Q: How many binary digits can one hexadecimal digit represent?

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Each 4-digit string of binary digits is equivalent to 1 single hexadecimal digit.

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.

A hexadecimal colour code is a six-digit code wherethe first two digits represent the hexadecimal code for the red colour type,the second two digits represent the hexadecimal code for the green colour type, andthe third two digits represent the hexadecimal code for the blue colour type.In each case, these codes include leading zeros, so that they are two digit codes in the range [00, FF]. This allows 256 different values for each colour type making 16,777,216 colours in all.

The binary number 1000 is the decimal (base 10) number 8. The digits in a binary number are exponents of 2 rather than 10, so that for a four-digit number in binary, the digit places represent 8, 4, 2, 1 1000 (binary) = 8 + (0x4) + (0x2) + (0x1) = 8

Because - Hex is an exact multiple of binary - whereas decimal numbers need to be converted from base 10 to base 2.

Related questions

four

Each 4-digit string of binary digits is equivalent to 1 single hexadecimal digit.

Computers store data in binary digits - ones and zeroes. It is mainly here that hexadecimal is used, as a shortcut for binary; each hexadecimal digit corresponds to four binary digits.

4 bits equal to half byte.8 bits is one byte.when converting hexadecimal digits to binary, each hexadecimal digits will take 4 binary digits, which means 4 bits.Because one binary digit means one bit having two values [true/false] or [on/off] like that.. [0/1]we can represent one hexadecimal digit as 4 bits like..for [7] as hexadecimal, we can say [0111] in bits.

1. represent every individual digit of given hexadecimal in binary form like this 4---------> 0100 8---------> 1000 7---------> 0111 2. combine the individual binary digits in order to get the binary of given hexadecimal number 487 ------------> 0100 1000 0111 ( required binary number )

Binary is a number system which only has two possible digits. That corresponds with the on and off signals in computers, where 0 means off and 1 means on. Binary digits are often used in convenient groupings. For instance, 4 binary digits (a "nybble") represent a single hexadecimal digit. Hexadecimal is a 16-base number system with digits 0 to 9, A to F, thus giving 16 possibilities. Eight binary digits, or two hexadecimal digits, is another convenient grouping called a byte. A byte represents 256 possibilities.

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.

three

32/4=8 For example: 00000000(16), 12345678(16), DEADBEEF(16), FFFFFFFF(16).

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.

Each octal digit is equivalent to three binary digits; each hexadecimal digit is equal to four binary digits. I think the best way to do this conversion is to convert each octal digit into the binary equivalent (3 digits in each case - don't omit the zeros on the left), then convert the binary to hexadecimal by grouping four binary digits at a time (starting from the right). Note that nowadays, most scientific calculators - including the calculator that comes included in Windows - have the ability to do this sort of conversion. If you want to practice doing it yourself, you can still use the Windows calculator to check your calculations.

Each hexadecimal digit can hold one of 16 values (0-F); 16 = 2^4, so exactly 4 bits (binary digits) can hold the same value as 1 hexadecimal digit. As a result the conversion from binary to hexadecimal is simply a matter of grouping the bits together in blocks of 4 (making nybbles) and converting each block into a single hexadecimal digit. Similarly for binary to octal but in this case as 8 = 2³ the bits are group into blocks of 3 which are then converted into octal digits. However, converting decimal to hexadecimal is not so "easy" as each decimal digit does not map to an exact number of binary digits. The only exception would be when using BCD (Binary Coded Decimal) where only the bit patterns for the decimal digits 0-9 are used in every 4 bits (wasting 6 possible digits) and where 0000 1001 (09) + 0000 0001 (01) = 0001 0000 (10). In this case the hexadecimal representation of the BCD is exactly the same as the decimal, but I have never seen it used as such (beyond the binary representation).

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