It is an infringement of the rights of an owner of copyright to copy the owner's work (Section 30 of the Act). In relation to a literary work (which includes computer programmes) copying is defined as including the storing of a work "in any medium by any means" (Section 2(1) "copying" of the Act refers).
This definition of copying would, therefore be applicable to a situation involving the storing of a work in a computer memory or displaying a work on a computer screen.