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Hexadecimal To Binary Conversion:
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Hexadecimal to binary conversion is the process of converting a hexadecimal (base-16) number to its equivalent binary (base-2) representation. Each hexadecimal digit corresponds to exactly four binary digits (bits).
The calculator converts each hexadecimal digit to its 4-bit binary equivalent:
Where:
Explanation: The conversion works by processing each hexadecimal digit individually and converting it to its 4-bit binary equivalent, then concatenating all results.
Details: This conversion is fundamental in computer science and digital electronics, as it allows easier representation and manipulation of binary data. Hexadecimal is often used as a shorthand for binary values because it's more compact and human-readable.
Tips: Enter a valid hexadecimal value (0-9, A-F). The calculator will automatically convert each digit to its 4-bit binary equivalent and display the complete binary result.
Q1: Why convert hexadecimal to binary?
A: Hexadecimal is often used as a compact representation of binary data in programming and digital systems. Converting to binary helps understand the actual bit patterns.
Q2: What characters are valid in hexadecimal?
A: Hexadecimal uses digits 0-9 and letters A-F (case insensitive). Each digit represents 4 bits of binary data.
Q3: How many bits does each hex digit represent?
A: Each hexadecimal digit represents exactly 4 binary bits (a nibble).
Q4: What's the maximum binary length for a hex value?
A: Each hex digit converts to 4 bits, so a hex string of length n will produce a binary string of length 4×n bits.
Q5: Can I convert binary back to hexadecimal?
A: Yes, the process is reversible. Groups of 4 binary bits (from right to left) can be converted back to hexadecimal digits.