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Q: One hexadecimal digit can be converted to how many binary bits?

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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.

Convert each group of 4 bits into one hexadecimal digit. 1010 is "A" in hexadecimal, so this particular number is "AA".

Yes, a byte is 8 bits, and a one hexadecimal digit takes up four bits, so two hexadecimal digits can be stored in a byte. The largest hexadecimal digit is F (which is 15 in base ten.) In base two, this converts to 1111, which takes up four bits, which is why it only takes four bits to store a hexadecimal digit. With 8 bits, two hexadecimal digits can be stored (FF would be 11111111, which is 8 bits), and 8 bits make up a byte. Generally, 4 bits are always used to store a hexadecimal digit, using leading zeros where necessary. For example, the hexadecimal digit 5 would be stored as 0101, and the hexadecimal digits 5A would be stored as 01011010.

To convert binary to hexadecimal split the binary number into blocks of 4 bits from the right hand end; each block represents a hexadecimal digit: 111101110001 → 1111 0111 0001 = 0xF71

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.

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Octal and hexadecimal numbers are used extensively by computer specialists because octal and hexadecimal are easily converted to and from binary. You simply group the binary bits into groups of 3 or 4 and then convert that group into octal or hexadecimal, or you convert the octal or hexadecimal digit into a group of 3 or 4 binary bits. With practice, you can do this at sight.

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.

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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.

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.

Internally, the computer processes bits - ones and zeroes. Hexadecimal is a shorthand form of writing those values, or of showing them to humans - every hexadecimal digit corresponds to four bits. Conversion from binary to hexadecimal is fairly easy; converstion between binary and decimal is more complicated.

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.

Any base that is a power of two can be used to notate binary numbers. Base-2 is binary itself, so each binary digit maps to 1 bit of binary data. A base-4 digit maps to exactly 2 bits of binary while a base-8 (octal) digit maps to exactly 3 bits. Hexadecimal (base-16) is convenient because each digit maps to exactly 4 bits of binary, and since a byte is typically 8-bits, we can represent 8 bits of binary using just two hex digits. A hex digit is called a nybble because it is exactly half a byte. We use hexadecimal whenever we want to represent binary values rather than decimal values. Binary is the only language the machine understands, so everything ultimately has to be converted to binary. While decimal notation is fine when we're dealing with decimal concepts (currency, temperature, distance, and so on), often we need to work at the machine level, setting or unsetting individual bits. For that we use hexadecimal notation.

Convert each group of 4 bits into one hexadecimal digit. 1010 is "A" in hexadecimal, so this particular number is "AA".

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).

Yes, a byte is 8 bits, and a one hexadecimal digit takes up four bits, so two hexadecimal digits can be stored in a byte. The largest hexadecimal digit is F (which is 15 in base ten.) In base two, this converts to 1111, which takes up four bits, which is why it only takes four bits to store a hexadecimal digit. With 8 bits, two hexadecimal digits can be stored (FF would be 11111111, which is 8 bits), and 8 bits make up a byte. Generally, 4 bits are always used to store a hexadecimal digit, using leading zeros where necessary. For example, the hexadecimal digit 5 would be stored as 0101, and the hexadecimal digits 5A would be stored as 01011010.

Binary: 1 bit Octal: 3 bits Hexadecimal: 4 bits Decimal: somewhere between 3 and 4 bits. In theory, about 3.32 bits.

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