Answer
$11001001001$
Work Step by Step
$1609_{10} = ((1 \times 1024) + (1\times 512) + (0 \times 256) + (0 \times 128) + (1 \times 64) + (0 \times 32) + (0 \times 16) + (1 \times 8) + (0 \times 4) + (0 \times 2) + (1 \times 1))_{10} = ((1 \times 2^{10}) + (1 \times 2^{9}) + (0 \times 2^{8}) + (0 \times 2^{7}) + (1 \times 2^{6}) + (0 \times 2^{5}) + (0 \times 2^{4}) + (1\times 2^{3}) + (0 \times 2^{2}) + (0 \times 2^{1}) + (1 \times 2^{0}))_{10} = 11001001001_{2}$
