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Hex To Binary Converter

Convert hex to binary with step-by-step mathematical calculations, reference lookup tables, and code snippets. Free online tool.

Hex To Binary Calculator

Binary (Base 2)
00101010
Decimal (Base 10)
42
Hexadecimal (Base 16)
0x2A
Octal (Base 8)
52
Mathematical Breakdown (Step-by-Step)
42 in Decimal (Base 10) ➔ Binary: 42 = 32 + 8 + 2 = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = 101010₂ ➔ Hexadecimal: 42 ÷ 16 = 2 remainder 10 ('A') = 0x2A₁₆ ➔ Octal: 42 ÷ 8 = 5 remainder 2 = 52₈

Universal Bit Converter & Number Translation Matrix

Universal lookup table mapping binary, hexadecimal, decimal, octal, and ASCII character definitions.

Decimal (Base 10) Binary (Base 2) Hexadecimal (Base 16) Octal (Base 8)
0 0000 0x0 0
1 0001 0x1 1
2 0010 0x2 2
3 0011 0x3 3
4 0100 0x4 4
5 0101 0x5 5
6 0110 0x6 6
7 0111 0x7 7
8 1000 0x8 10
9 1001 0x9 11
10 1010 0xA 12
11 1011 0xB 13
12 1100 0xC 14
13 1101 0xD 15
14 1110 0xE 16
15 1111 0xF 17

Developer Code Snips

Python 
# Convert number across bases
num = 42
print(bin(num))  # Binary: 0b101010
print(hex(num))  # Hex: 0x2a
print(oct(num))  # Octal: 0o52
JavaScript 
// Convert number across bases
const num = 42;
console.log(num.toString(2));  // Binary: "101010"
console.log(num.toString(16)); // Hex: "2a"
console.log(num.toString(8));  // Octal: "52"

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