100. Write a polynomial arranged in descending powers of 2, with coefficients equal to 1 or 0. How can this polynomial be symbolically represented? (See previous questions).
100. For example, $(110101101)_{2}=2^{8}+2^{7}+2^{5}+2^{3}+2^{2}+1=429$. Conversely, the number $15=2^{3}+2^{2}+2+1=(1111)_{\mathbf{2}}$.