Systems, apparatuses, and methods for performing delta decoding on packed data elements of a source and storing the results in packed data elements of a destination using a single packed delta decode instruction are described. A processor may include a decoder to decode an instruction, and execution unit to execute the decoded instruction to calculate for each packed data element position of a source operand, other than a first packed data element position, a value that comprises a packed data element of that packed data element position and all packed data elements of packed data element positions that are of lesser significance, store a first packed data element from the first packed data element position of the source operand into a corresponding first packed data element position of a destination operand, and for each calculated value, store the value into a corresponding packed data element position of the destination operand.