An Execution Array Memory Array (XarMa©) processor is described for signal processing and internet of things (IoT) applications, (pronounced sharma, that means happiness in Sanskrit). The XarMa© processor uses a 1 to K+1 adjacency network in an array of execution units. The 1 to K+1 adjacency refers to connections separately made in rows and in columns of execution unit and local file nodes, where the number of Rows≥K>1 and of Columns≥K>1 and K is an odd integer. Instead of a large central multi-ported register file, a distributed set of storage files local to each execution unit is used. The instruction set architecture uses instructions that specify forwarding of execution results to execution units associated with destination instructions. This execution array is scalable to support cost effective and low power high-performance application specific processing focused on target product requirements.