[tex] \huge{ \rm{Question:}}[/tex]
Convert
0.625 to binary
[tex] \huge{ \rm{Answer:}}[/tex]
Translate 0.625 into a fraction. We all know that 0.5 is ½. We know that the remainder, 0.125, is ⅛. Add them together, and you get ½ + ⅛ = ⅝.
Now, in binary, the positions to the right of the point are , which is ½, ¼, and ⅛ respectively.
⅝ is 5 × ⅛. 5 in binary is 101. So, ⅝ is
= 0.101
