Question

What is the binary number for decimal number 100?

Answer 1

`\large\boxed{100_(10)=1100100_2}`

Explanation:

`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`