Aspects for vector operations in neural network are described herein. The aspects may include a vector caching unit configured to store a first vector and a second vector, wherein the first vector includes one or more first elements and the second vector includes one or more second elements. The aspects may further include one or more adders and a combiner. The one or more adders may be configured to respectively add each of the first elements to a corresponding one of the second elements to generate one or more addition results. The combiner may be configured to combine a combiner configured to combine the one or more addition results into an output vector.

A domino full adder based on delayed gating positive feedback comprises a first PMOS transistor, a second PMOS transistor, a third PMOS transistor, a fourth PMOS transistor, a fifth PMOS transistor, a sixth PMOS transistor, a seventh PMOS transistor, an eighth PMOS transistor, a ninth PMOS transistor, a first NMOS transistor, a second NMOS transistor, a third NMOS transistor, a fourth NMOS transistor, a fifth NMOS transistor, a sixth NMOS transistor, a seventh NMOS transistor, an eighth NMOS transistor, a ninth NMOS transistor, a tenth NMOS transistor, an eleventh NMOS transistor, a first inverter, a second inverter, a third inverter and a fourth inverter.

A domino full adder based on delayed gating positive feedback comprises a first PMOS transistor, a second PMOS transistor, a third PMOS transistor, a fourth PMOS transistor, a fifth PMOS transistor, a sixth PMOS transistor, a seventh PMOS transistor, an eighth PMOS transistor, a ninth PMOS transistor, a first NMOS transistor, a second NMOS transistor, a third NMOS transistor, a fourth NMOS transistor, a fifth NMOS transistor, a sixth NMOS transistor, a seventh NMOS transistor, an eighth NMOS transistor, a ninth NMOS transistor, a tenth NMOS transistor, an eleventh NMOS transistor, a first inverter, a second inverter, a third inverter and a fourth inverter.

In this arithmetic processing device, during a filter processing and a cumulative addition processing for calculating a specific pixel of an output feature amount map, an arithmetic controller controls so as to temporarily store an intermediate result in a cumulative addition result storing memory and process another pixel, store the intermediate result of the cumulative addition processing for all pixels in the cumulative addition result storing memory, then return to a first pixel, read the value stored in the cumulative addition result storing memory as an initial value of the cumulative addition processing, and continue the cumulative addition processing.

In this arithmetic processing device, during a filter processing and a cumulative addition processing for calculating a specific pixel of an output feature amount map, an arithmetic controller controls so as to temporarily store an intermediate result in a cumulative addition result storing memory and process another pixel, store the intermediate result of the cumulative addition processing for all pixels in the cumulative addition result storing memory, then return to a first pixel, read the value stored in the cumulative addition result storing memory as an initial value of the cumulative addition processing, and continue the cumulative addition processing.

A domino full adder based on delayed gating positive feedback comprises a first PMOS transistor, a second PMOS transistor, a third PMOS transistor, a fourth PMOS transistor, a fifth PMOS transistor, a sixth PMOS transistor, a seventh PMOS transistor, an eighth PMOS transistor, a ninth PMOS transistor, a first NMOS transistor, a second NMOS transistor, a third NMOS transistor, a fourth NMOS transistor, a fifth NMOS transistor, a sixth NMOS transistor, a seventh NMOS transistor, an eighth NMOS transistor, a ninth NMOS transistor, a tenth NMOS transistor, an eleventh NMOS transistor, a first inverter, a second inverter, a third inverter and a fourth inverter.

A domino full adder based on delayed gating positive feedback comprises a first PMOS transistor, a second PMOS transistor, a third PMOS transistor, a fourth PMOS transistor, a fifth PMOS transistor, a sixth PMOS transistor, a seventh PMOS transistor, an eighth PMOS transistor, a ninth PMOS transistor, a first NMOS transistor, a second NMOS transistor, a third NMOS transistor, a fourth NMOS transistor, a fifth NMOS transistor, a sixth NMOS transistor, a seventh NMOS transistor, an eighth NMOS transistor, a ninth NMOS transistor, a tenth NMOS transistor, an eleventh NMOS transistor, a first inverter, a second inverter, a third inverter and a fourth inverter.

An integrated circuit device includes multiplier circuitry configured to determine a plurality of columns of subproducts by multiplying a plurality of values. Each column of the plurality of columns includes one or more subproducts of a plurality of subproducts. The integrated circuit device also includes adder circuitry configured to determine a plurality of sums, each sum being a sum of one column of the plurality of columns. A first portion of the adder circuitry associated with a first column of the plurality of columns is configured to receive a first value and second value that are associated with the first column and a third value associated with a second column of the plurality of columns that differs from the first column. The third value is a carry-out value generated by a second portion of the adder circuitry associated with the second column of the plurality of columns.

An integrated circuit device includes multiplier circuitry configured to determine a plurality of columns of subproducts by multiplying a plurality of values. Each column of the plurality of columns includes one or more subproducts of a plurality of subproducts. The integrated circuit device also includes adder circuitry configured to determine a plurality of sums, each sum being a sum of one column of the plurality of columns. A first portion of the adder circuitry associated with a first column of the plurality of columns is configured to receive a first value and second value that are associated with the first column and a third value associated with a second column of the plurality of columns that differs from the first column. The third value is a carry-out value generated by a second portion of the adder circuitry associated with the second column of the plurality of columns.

Memristor-based dividers using memristors-as-drivers (MAD) gates. As a result of employing MAD gates in memristor-based dividers, such as binary non-restoring dividers and SRT dividers, the number of delay steps may be less than half than the number of delay steps required in traditional CMOS implementations of dividers. Furthermore, by using MAD gates, memristor-based dividers can be implemented with less complexity (e.g., fewer memristors and drivers). As a result, by the memristor-based dividers using MAD gates, the speed and complexity of a wide variety of arithmetic operations is improved.