Answer
$44_{10}$ = $101100_{2}$
Work Step by Step
44$\div$2 = 22 remainder r[0] = 0
22$\div$2 = 11 remainder r[1] = 0
11$\div$2 = 5 remainder r[2] = 1
5$\div$2 = 2 remainder r[3] = 1
2$\div$2 = 1 remainder r[4] = 0
remainder r[5] = 1
$44_{10}$ = r[5]r[4]r[3]r[2]r[1]r[0] = 101100