The table to the right shows the digits of the octal system $($base eight$)$ and their equivalents in the binary system $($base two$).$ Use the table to fill in the blanks below.

$($a$)$ Write ${11101001110}_{\text{t}\text{w}\text{o}}$ in the octal system.

${11101001110}_{\text{t}\text{w}\text{o}}={}_{\text{e}\text{i}\text{g}\text{h}\text{t}}$

$($b$)$ Write ${152}_{\text{e}\text{i}\text{g}\text{h}\text{t}}$ in the binary system.

${152}_{\text{e}\text{i}\text{g}\text{h}\text{t}}=-{}_{wo}$

$\backslash$table$[[\backslash$table$[[$Octal digit$],[($base eight$)]],\backslash$table$[[$Binary equivalent$],[($base two$)]]],[0,000],[1,001],[2,010],[3,011],[4,100],[5,101],[6,110],[7,111]]$