Question

conversion from binary number to decimal number (110110110)2

Answer 1

$= ( 110110110)2 \\ = (1 \times {2}^{8} + 1 \times {2}^{7} + 0 \times {2}^{6} + 1 \times {2}^{ 5} + \\ 1 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + \\ 0 \times {2}^{0} ) \\ = (1 \times 256 + 1 \times 128 + 0 + 1 \times 32 + 1 \times \\ 16 + 0 + 1 \times 4 + 1 \times 2 + 0) \\ = (256 + 128 + 32 + 16 + 4 + 2) \\ = 438$
I hope this helps....