A multi-height adder cell configured to receive a first input signal, a second input signal, and a carry input signal and output a sum output signal and a carry output signal, including a plurality of circuit areas, including a plurality of first gate lines to which the first input signal is applied and a plurality of second gate lines to which the second input signal is applied, wherein at least one of a first circuit area and a second circuit area is arranged in a first row, at least one of a third circuit area and a fourth circuit area is arranged in a second row parallel with the first row, and a first gate line of a circuit area arranged in the first row is aligned with a first gate line of a circuit area arranged in the second row

In a method of manufacturing a semiconductor device, first to third active fins are formed on a substrate. Each of the first to third active fins extends in a first direction, and the second active fin, the first active fin, and the third active fin are disposed in this order in a second direction crossing the first direction. The second active fin is removed using a first etching mask covering the first and third active fins. The third active fin is removed using a second etching mask covering the first active fin and a portion of the substrate from which the second active fin is removed. A first gate structure is formed on the first active fin. A first source/drain layer is formed on a portion of the first active fin adjacent the first gate structure.

In a method of manufacturing a semiconductor device, first to third active fins are formed on a substrate. Each of the first to third active fins extends in a first direction, and the second active fin, the first active fin, and the third active fin are disposed in this order in a second direction crossing the first direction. The second active fin is removed using a first etching mask covering the first and third active fins. The third active fin is removed using a second etching mask covering the first active fin and a portion of the substrate from which the second active fin is removed. A first gate structure is formed on the first active fin. A first source/drain layer is formed on a portion of the first active fin adjacent the first gate structure.

An adder-subtractor circuit includes an inverting circuit configured to invert a first operand on a bit-by-bit basis to output a first inverted operand, a circuit having a function to perform a predetermined arithmetic operation and configured to output a second operand, a carry generating circuit configured to generate carries from the first inverted operand and the second operand, and an XOR circuit configured to perform a bit-by-bit XOR on the carries, the first operand, and the second operand.

An adder-subtractor circuit includes an inverting circuit configured to invert a first operand on a bit-by-bit basis to output a first inverted operand, a circuit having a function to perform a predetermined arithmetic operation and configured to output a second operand, a carry generating circuit configured to generate carries from the first inverted operand and the second operand, and an XOR circuit configured to perform a bit-by-bit XOR on the carries, the first operand, and the second operand.

A computer-implemented method for generating one or more random numbers includes configuring a mapper to feed inputs of a random number generation system using a subset of noise sources from multiple noise sources. The random number generation system generates a random number based on the inputs. The method further includes evaluating the subset of noise sources and detecting that a first noise source from the subset of noise sources has degraded in quality. The method further includes evaluating a second noise source from the available noise sources, the second noise source not being in the subset of noise sources. In response to the second noise source satisfying a predetermined threshold criterion, the first noise source is replaced with the second in the subset of noise sources for providing random bit streams to facilitate generating the random number by the random number generation system.

Systems and methods are provided to enable parallelized multiply-accumulate operations in a systolic array. Each row of the systolic array can include multiple busses enabling independent transmission of inputs along the respective bus. Each processing element of a given row-oriented bus can receive an input from a prior element of the given row-oriented bus, and perform arithmetic operations on the input. Each processing element can generate an output partial sum based on the arithmetic operations, provide the input to a next processing element of the given row-oriented bus, without the input being processed by a processing element of the row located between the two processing elements that uses a different row-oriented bus. Use of row-oriented busses can enable parallelization to increase speed or enable increased latency at individual processing elements.

Systems and methods are provided to enable parallelized multiply-accumulate operations in a systolic array. Each row of the systolic array can include multiple busses enabling independent transmission of inputs along the respective bus. Each processing element of a given row-oriented bus can receive an input from a prior element of the given row-oriented bus, and perform arithmetic operations on the input. Each processing element can generate an output partial sum based on the arithmetic operations, provide the input to a next processing element of the given row-oriented bus, without the input being processed by a processing element of the row located between the two processing elements that uses a different row-oriented bus. Use of row-oriented busses can enable parallelization to increase speed or enable increased latency at individual processing elements.

Systems and methods are provided to enable parallelized multiply-accumulate operations in a systolic array. Each column of the systolic array can include multiple busses enabling independent transmission of input partial sums along the respective bus. Each processing element of a given columnar bus can receive an input partial sum from a prior element of the given columnar bus, and perform arithmetic operations on the input partial sum. Each processing element can generate an output partial sum based on the arithmetic operations, provide the output partial sum to a next processing element of the given columnar bus, without the output partial sum being processed by a processing element of the column located between the two processing elements that uses a different columnar bus. Use of columnar busses can enable parallelization to increase speed or enable increased latency at individual processing elements.

Systems and methods are provided to enable parallelized multiply-accumulate operations in a systolic array. Each column of the systolic array can include multiple busses enabling independent transmission of input partial sums along the respective bus. Each processing element of a given columnar bus can receive an input partial sum from a prior element of the given columnar bus, and perform arithmetic operations on the input partial sum. Each processing element can generate an output partial sum based on the arithmetic operations, provide the output partial sum to a next processing element of the given columnar bus, without the output partial sum being processed by a processing element of the column located between the two processing elements that uses a different columnar bus. Use of columnar busses can enable parallelization to increase speed or enable increased latency at individual processing elements.