To multiply the binary numbers $(1001011)_{2}$ and $(1011)_{2}$, we perform the multiplication step-by-step similar to decimal multiplication, using binary addition rules ($0+0=0, 0+1=1, 1+0=1, 1+1=10$):

$$ \begin{array}{r@{\quad}l} & 1001011_2 \\ \times & 0001011_2 \\ \hline & 1001011 \quad (1001011 \times 1) \\ & 10010110 \quad (1001011 \times 10) \\ & 000000000 \quad (1001011 \times 000) \\ + & 1001011000 \quad (1001011 \times 1000) \\ \hline & 1100111001_2 \end{array} $$
Thus, the product is $(1100111001)_{2}$.