i graduated in 2003 with a 2ii and i am currently studying for a master. would these qualification allow me to get a PhD studentship?

I WOULD LIKE TO KNOW WHAT IS THE QUALIFICATION TO GO FOR RESEARCH IN COMPUTER SCIENCE

A 2(ii) with a subsequent relevant masters degree is enough to qualify for a studentship. It may not be enough if you're going up against someone who has better grades. Have a look at the PhDs Explained section of the site for more information on qualifications. You can also search this forum for a number of relevant discussions