Abstract: A system includes a non-destructive associative memory array and a predictor, a selector and a summer. The memory array includes a plurality of sections, each section includes cells arranged in rows and columns, to store bit j from a first multi-bit number and bit j from a second multi-bit number in a same column in section j. The predictor generally concurrently predicts a plurality of carry out values in each of the sections and the selector selects one of the predicted carry out values for all bits. The summer generally concurrently, for all bits, calculates a sum of the multi-bit numbers using the selected carry-out values.

Abstract: A method for finding an extreme value among a plurality of numbers in an associative memory includes creating a spread-out representation (SOR) for each number of the plurality of numbers, storing each SOR in a column of the associative memory array and performing a horizontal bit-wise Boolean operation on rows of the associative memory array to produce an extreme SOR (ESOR) having the extreme value. A system for finding an extreme value includes an associative memory array to store the plurality of numbers, each number storable in a column; a spread-out representation (SOR) creator to create a SOR for each number of the plurality of numbers and to store each SOR in a column of the associative memory array, and an extreme SOR (ESOR) finder to find an extreme value using a horizontal bit-wise Boolean operation on rows of the associative memory array storing bits of the SORs.

Abstract: A method and a system for selecting items one by one from a set of items in an associative memory array includes determining a density of the set, if the density is sparse, repeatedly performing an extreme item select (EIS) method to select a next one of the elected items from the set and removing the next one from the set to create a next set, and if the density is not sparse, performing a next index select (NIS) method to create a linked list of the elected items and to repeatedly select a next elected item from the set. An associative memory array includes a plurality of associative memory cells arranged in rows and columns where each first cell in a first row and in a first column has access to a content of a second cell in a second row in an adjacent column.

Abstract: A system includes a non-destructive associative memory array and a predictor, a selector and a summer. The memory array includes a plurality of sections, each section includes cells arranged in rows and columns, to store bit j from a first multi-bit number and bit j from a second multi-bit number in a same column in section j. The predictor generally concurrently predicts a plurality of carry out values in each of the sections and the selector selects one of the predicted carry out values for all bits. The summer generally concurrently, for all bits, calculates a sum of the multi-bit numbers using the selected carry-out values.

Abstract: A method includes determining a set of k extreme values of a dataset of elements in a constant time irrespective of the size of the dataset. A method creates a set of k indicators, each indicator associated with one multi-bit binary number in a large dataset of multi-bit binary numbers. The method includes arranging the multi-bit binary numbers such that each bit n of each said multi-bit binary number is located in a different row n of an associative memory array, starting from a row storing a most significant bit (MSB), adding an indicator to the set for each multi-bit binary number having a bit with an extreme value in the row and continuing the adding until said set contains k indicators.