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Q: How many bits in the binary system are represented by one digit in the hexadecimal system?

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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.

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.

Each 4 bits of binary can make 1 hexadecimal digit. There are 16 hexadecimal characters including zero. This can be shown by the equation 2^4 = 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.

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Each hexadecimal digit represents four binary digits (bits) (also called a "nibble"), and the primary use of hexadecimal notation is as a human-friendly representation of values in computing and digital electronics. For example, binary coded byte values can range from 0 to 255 (decimal) but may be more conveniently represented as two hexadecimal digits in the range 00 through FF. Hexadecimal is also commonly used to represent computer memory adresses.

16 is the 4th power of 2. So a hexadecimal number is converted to binary by replacing each hex digit by the 4-bit binary number having the same value. Conversely, in converting binary to hexadecimal, we group every 4 bits starting at the decimal (binary?) point and replace it with the equivalent hex digit. For example, the hexadecimal number 3F9 in binary is 1111111001, because 3 in binary is 11, F (decimal 15) is 1111, and 9 is 1001.

The 0x prefix conventionally indicates a hexadecimal (base 16) value. We use hexadecimal to notate binary (base 2) values. Each hexadecimal digit represents exactly 4-bits of binary thus 0x00 is 00000000 binary, which is 0 decimal.

The decimal system we normally use is base 10. That means that each position has 10 times the place-value of the digit to the right of it.Binary is base 2. Hexadecimal is base 16.

The decimal system we normally use is base 10. That means that each position has 10 times the place-value of the digit to the right of it.Binary is base 2. Hexadecimal is base 16.

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