Processing of character data is facilitated. A Find Element Not Equal instruction is provided that compares data of multiple vectors for inequality and provides an indication of inequality, if inequality exists. An index associated with the unequal element is stored in a target vector register. Further, the same instruction, the Find Element Not Equal instruction, also searches a selected vector for null elements, also referred to as zero elements. A result of the instruction is dependent on whether the null search is provided, or just the compare.