A burst-mode data transfer arrangement for transferring a "LINE" of data, arranged in a four-subline array, between a 32-bit-subline memory and a cache memory having 64 bits per sub-line, where, in every such transfer, four sublines must be transferred successively in one of four different sequences, depending on whether the initial access-subline is subline-#1, -#2, -#3 or -#4; this arrangement being adapted to derive the address of the third subline by: deriving an "access address" for the initial subline of the "LINE" to be transferred; converting the result to binary code form; inverting the fourth bit of this binary code form, and then converting this result to the desired code form, to constitute the address of the third subline (of the four to be transferred).