[tex]110101011_{(2)} = \\\\
1 * 2^{0} + 1 * 2^{1} + 0 * 2^{2} + 1 * 2^{3} + 0 * 2^{4} + 1 * 2^{5} + 0 * 2^{6} + 1 * 2^{7} + 1 * 2^{8} = \\\\
2^{0} + 2^{1} + 2^{3} + 2^{5} + 2^{7} + 2^{8} = \\\\
1 + 2 + 8 + 32 + 128 + 256 = 427_{(10)}\\\\
1101011010_{(2)} = \\\\
0 * 2^{0} + 1 * 2^{1} + 0 * 2^{2} + 1 * 2^{3} + 1 * 2^{4} + 0 * 2^{5} + 1 * 2^{6} + 0 * 2^{7} + 1 * 2^{8} + 1 * 2^{9} = \\\\
2^{1} + 2^{3} + 2^{4} + 2^{6} + 2^{8} + 2^{9} = \\\\
2 + 8 + 16 + 64 + 256 + 512 = 858_{(10)}
[/tex]
