Adeanh, if you're willing you can try out Inkscape.
http://www.inkscape.org/
Inkscape is a free, open source vector graphics drawing program. It doesn't have all the bells and whistles of a full blown professional drawing program like Adobe Illustrator or CorelDRAW. But you can at least get some decent work completed with it.
Xara Xtreme is another alternative. Although it is not free. The Windows version costs $79. But that's not bad for a program that has most of the basic tools you need to create vector-based artwork. It also covers some of the bitmap area as well. Modern versions of CorelDRAW share a great deal of similar code and functions.
Plans are underway to make an open source version of Xara Xtreme. But the builds are slowly being updated to 64-bit code and to work on various builds of Linux as well as the MacOS. No word on if the open source version will be available for Windows users.
Now, if you are doing graphics work in a paid capacity (designing logos, graphics, etc. for profit) then you really should consider investing in a professional level drawing package.