Convert hexadecimal to binary instantly with our professional hex to binary converter. Features hex to binary table, conversion examples in Python, Java, C++, and Excel formulas. Perfect hex to binary calculator for programmers and students.
Master hex to binary conversion with step-by-step examples, programming code samples, file processing methods, and comprehensive conversion tables. Supports all hex to binary conversion scenarios from simple calculator operations to complex file transformations.
The hex to binary conversion formula uses direct mapping where each hexadecimal digit corresponds to exactly 4 binary digits. This hex to binary calculator method works because 16 = 2⁴, making the conversion straightforward and efficient.
This hex to binary conversion example demonstrates the direct mapping method used in most hex to binary calculators.
Essential hex to binary table for manual calculations and programming reference.
Hex | Binary | Decimal |
---|---|---|
0 | 0000 | 0 |
1 | 0001 | 1 |
2 | 0010 | 2 |
3 | 0011 | 3 |
4 | 0100 | 4 |
5 | 0101 | 5 |
6 | 0110 | 6 |
7 | 0111 | 7 |
8 | 1000 | 8 |
9 | 1001 | 9 |
A | 1010 | 10 |
B | 1011 | 11 |
C | 1100 | 12 |
D | 1101 | 13 |
E | 1110 | 14 |
F | 1111 | 15 |
Hex | Binary | Description |
---|---|---|
FF | 11111111 | 8-bit all 1s |
80 | 10000000 | 8-bit MSB |
7F | 01111111 | 8-bit max signed |
AA | 10101010 | Alternating |
55 | 01010101 | Inverse alt. |
0F | 00001111 | Lower nibble |
F0 | 11110000 | Upper nibble |
FFFF | 1111111111111111 | 16-bit all 1s |
8000 | 1000000000000000 | 16-bit MSB |
DEAD | 1101111010101101 | Debug pattern |
# Hex to Binary Python - Method 1: Using bin() function hex_value = "A3F" decimal = int(hex_value, 16) binary = bin(decimal)[2:] # Remove '0b' prefix print(f"Hex to Binary: {hex_value} = {binary}") # Output: Hex to Binary: A3F = 101000111111 # Hex to Binary Python - Method 2: Manual conversion with table def hex_to_binary_converter(hex_str): hex_to_bin_table = { '0':'0000', '1':'0001', '2':'0010', '3':'0011', '4':'0100', '5':'0101', '6':'0110', '7':'0111', '8':'1000', '9':'1001', 'A':'1010', 'B':'1011', 'C':'1100', 'D':'1101', 'E':'1110', 'F':'1111' } return ''.join(hex_to_bin_table[c] for c in hex_str.upper()) # Hex to Binary conversion example result = hex_to_binary_converter("A3F") print(f"Hex to Binary Result: A3F = {result}") # Hex to Binary file processing def convert_hex_file_to_binary(input_file, output_file): with open(input_file, 'r') as f: hex_data = f.read().strip() binary_result = hex_to_binary_converter(hex_data) with open(output_file, 'w') as f: f.write(binary_result)
// Hex to Binary Excel Formula Examples // Method 1: Using HEX2BIN function (for values up to FFFFFFFF) =HEX2BIN("A3") // Result: 10100011 // Method 2: Custom formula for larger hex values =DEC2BIN(HEX2DEC("A3")) // Result: 10100011 // Method 3: Complex hex to binary conversion for multi-digit hex // For cell A1 containing "A3F", use this formula: =SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( UPPER(A1),"0","0000"),"1","0001"),"2","0010"),"3","0011"), "4","0100"),"5","0101"),"6","0110"),"7","0111"), "8","1000"),"9","1001"),"A","1010"),"B","1011"), "C","1100"),"D","1101"),"E","1110"),"F","1111") // Hex to Binary Excel table for reference: // A1: Hex | B1: Binary | Formula in B1: =HEX2BIN(A1) // 0 | 0000 | // 1 | 0001 | // 2 | 0010 | // ... | ... | // F | 1111 | // Excel VBA Function for hex to binary conversion: Function HexToBinaryConverter(hexValue As String) As String Dim i As Integer Dim binaryResult As String For i = 1 To Len(hexValue) Select Case UCase(Mid(hexValue, i, 1)) Case "0": binaryResult = binaryResult & "0000" Case "1": binaryResult = binaryResult & "0001" Case "2": binaryResult = binaryResult & "0010" // ... continue for all hex digits Case "F": binaryResult = binaryResult & "1111" End Select Next i HexToBinaryConverter = binaryResult End Function
#include <iostream> #include <string> #include <bitset> #include <sstream> class HexToBinaryConverter { public: // Hex to Binary C++ - Method 1: Using bitset static std::string hexToBinary(const std::string& hex) { std::stringstream ss; for (char c : hex) { int value = (c >= '0' && c <= '9') ? c - '0' : (c >= 'A' && c <= 'F') ? c - 'A' + 10 : (c >= 'a' && c <= 'f') ? c - 'a' + 10 : 0; std::bitset<4> binary(value); ss << binary; } return ss.str(); } // Hex to Binary C++ - Method 2: Manual conversion table static std::string hexToBinaryManual(const std::string& hex) { std::string hexToBinTable[] = { "0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111" }; std::string result; for (char c : hex) { int index = (c >= '0' && c <= '9') ? c - '0' : (c >= 'A' && c <= 'F') ? c - 'A' + 10 : (c >= 'a' && c <= 'f') ? c - 'a' + 10 : 0; result += hexToBinTable[index]; } return result; } }; // Hex to Binary C++ calculator example int main() { std::string hexInput = "A3F"; std::string result1 = HexToBinaryConverter::hexToBinary(hexInput); std::string result2 = HexToBinaryConverter::hexToBinaryManual(hexInput); std::cout << "Hex to Binary: " << hexInput << " = " << result1 << std::endl; std::cout << "Manual method: " << hexInput << " = " << result2 << std::endl; return 0; }
// Hex to Binary Excel Formula Examples // Method 1: Using HEX2BIN function (for values up to FFFFFFFF) =HEX2BIN("A3") // Result: 10100011 // Method 2: Custom formula for larger hex values =DEC2BIN(HEX2DEC("A3")) // Result: 10100011 // Method 3: Complex hex to binary conversion for multi-digit hex // For cell A1 containing "A3F", use this formula: =SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( SUBSTITUTE(SUBSTITUTE(SUBSTITUTE(SUBSTITUTE( UPPER(A1),"0","0000"),"1","0001"),"2","0010"),"3","0011"), "4","0100"),"5","0101"),"6","0110"),"7","0111"), "8","1000"),"9","1001"),"A","1010"),"B","1011"), "C","1100"),"D","1101"),"E","1110"),"F","1111") // Hex to Binary Excel table for reference: // A1: Hex | B1: Binary | Formula in B1: =HEX2BIN(A1) // 0 | 0000 | // 1 | 0001 | // 2 | 0010 | // ... | ... | // F | 1111 | // Excel VBA Function for hex to binary conversion: Function HexToBinaryConverter(hexValue As String) As String Dim i As Integer Dim binaryResult As String For i = 1 To Len(hexValue) Select Case UCase(Mid(hexValue, i, 1)) Case "0": binaryResult = binaryResult & "0000" Case "1": binaryResult = binaryResult & "0001" Case "2": binaryResult = binaryResult & "0010" // ... continue for all hex digits Case "F": binaryResult = binaryResult & "1111" End Select Next i HexToBinaryConverter = binaryResult End Function
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