Abstract: Encachement apparatus consisting of a first cache, a second cache connected to the first cache, registers for storing data, an adder receiving inputs from a first multiplexer connected to the first cache and a second multiplexer connected to the second cache and to the registers, and control apparatus connected to the first cache, the first multiplexer, and the second multiplexer. The first cache outputs a cache entry in response to a key. The cache entry contains a first displacement value, a base specifier specifying either one of the registers or the second cache, and in the case of entries specifying the second cache, a second displacement value. The first displacement value is output to the first multiplexer, the base specifier is output to the control apparatus, and the second displacement, if present, is output to the second cache.