Decimal to negadecimal converter

This is an online browser-based utility for converting decimals to negadecimals (also called base -10 numbers). All decimal number can be decomposed into a sum of powers of ten. For example, the integer 125 can be written as 1×100 + 2×10 + 5 and this can be rewritten as a sum of powers of ten: 1×10² + 2×10¹ + 5×10⁰. If we look at the coefficients before powers of ten we see 1, 2, 5, which makes up our number. In the same way, we can write any number in the base -10. Odd powers of this negative base create negative numbers, but even powers produce positive ones. By combining these negative and positive powers, we can construct any number. Thus, the number 125 in base -10 can be decomposed as follows: 125₁₀ = 2×(-10)² + 8×(-10)¹ + 5×(-10)⁰ = 285_-10. So we find that 125 is 285 in base -10. An interesting fact is that in the base -10 we don't need the sign symbol as all negative numbers are always represented as positive numbers. For example, -125₁₀ = 1×(-10)³ + 9×(-10)² + 3×(-10)¹ + 5×(-10)⁰ = 1935_-10. With this tool, you can convert positive numbers, negative numbers, or both at the same time, simply by entering each of them on a new line. If you are interested in the power series that create the number, use the "Show Representation Sum" option, which will print your number "x" in the form x = a₀(-10)ⁿ + … + a_n-1(-10)¹ + a_n(-10)⁰. The coefficients a₀a₁…a_n-2a_n-1a_n create the number in this interesting base. That's numberwang!