Decimal to Binary Converter: an electronics-based recursive approach. The binary equivalent of a decimal number can be found creating a binary counter that counts from 0 to the decimal number. The least significant bit of the binary number (counter) always toggles (from 0 to 1 and from 1 to 0), but when one bit changes from 1 to 0, the next bit also toggles and this effect repeats recursively until the counter reaches the decimal number. The binary number is shown as a list of bits. The first item of the list is the least significant bit, and the last item of the list is the most significant bit. 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