Answer:
[tex]\large\boxed{100_{10}=1100100_2}[/tex]
Step-by-step explanation:
[tex]100:2=50\qquad rest=0\\50:2=25\qquad rest=0\\25:2=12\qquad rest=1\\12:2=6\qquad rest=0\\6:2=3\qquad rest=0\\3:2=1\qquad rest=1\\1:2=0\qquad rest=1\\\\\text{We write from the bottom up}\\\\100_{10}=1100100_2[/tex]