The reason hex to binary is so simple is that
Binary strings are incredibly long and difficult for humans to read. For example, a 16-bit color code might look like 1011101001011110 . In hex, that same value is a much more manageable BA5E . We convert between them to debug code, understand memory addresses, or configure network settings like IPv6. The Secret: The "4-Bit Rule" hex to binary
Don't want to memorize the table? Use the rule. Each of the four bits in a "nibble" (four bits) represents a power of two: First bit: 8 Second bit: 4 Third bit: 2 Fourth bit: 1 If you want to convert the hex digit D (13) : Does 8 fit in 13? Yes (1). Remainder: 5. Does 4 fit in 5? Yes (1). Remainder: 1. Does 2 fit in 1? No (0). Remainder: 1. Does 1 fit in 1? Yes (1). Result: 1101 . The reason hex to binary is so simple