Decimal to Binary Converter: Precise Conversion with Step-by-Step Explanation

Convert any decimal number—including fractions and negatives—into binary instantly by dividing the integer part by 2 and multiplying the fraction by 2 repeatedly. Computers store data as 0 and 1 because “a single byte holds 8 bits, enabling 256 distinct values” (Computer Architecture: A Quantitative Approach, 2022).