This disclosure relates to an adder circuit. The adder circuit comprises an operand input and a second operand input to an XNOR cell. The XNOR cell may be configured to provide the operand input and the second operand input to both a NAND gate and a first OAI cell. A second OAI cell may transform the output of the XNOR cell into a carry out signal.

Adder circuits and associated methods for processing a set of at least three floating-point numbers to be added together include identifying, from among the at least three numbers, at least two numbers that have the same signthat is, at least two numbers that are both positive or both negative. The identified at least two numbers are added together (608) using one or more same-sign floating-point adders (120, 220a, 320, 420). A same-sign floating-point adder comprises circuitry configured to add together floating-point numbers having the same sign and does not include circuitry configured to add together numbers having different signs.

Embodiments of the present disclosure provide an APB (Advanced Peripheral Bus) bus-based SPI (Serial Peripheral Interface) communication device. The device comprises: an APB interface module, an SPI bus interface module, an encryption module, and a decryption module, wherein the encryption module receives plaintext data and a key from a master via the APB interface module, generates, when enabled, ciphertext data according to the plaintext data and the key, and sends the ciphertext data to a slave via the SPI bus interface module; the decryption module receives the ciphertext data from the slave via the SPI bus interface module and receives a key from the master via the APB interface module, generates, when enabled, plaintext data according to the ciphertext data and the key, and sends the plaintext data to the master via the APB interface module. The present disclosure can improve the security of data transmission.

A memory array arranged in multiple columns and rows. Computation circuits that each calculate a computation value from cell values in a corresponding column. A column multiplexer cycles through multiple data lines that each corresponds to a computation circuit. Cluster cycle management circuitry determines a number of multiplexer cycles based on a number of columns storing data of a compute cluster. A sensing circuit obtains the computation values from the computation circuits via the column multiplexer as the column multiplexer cycles through the data lines. The sensing circuit combines the obtained computation values over the determined number of multiplexer cycles. A first clock may initiate the multiplexer to cycle through its data lines for the determined number of multiplexer cycles, and a second clock may initiate each individual cycle. The multiplexer or additional circuitry may be utilized to modify the order in which data is written to the columns.

Methods, systems, and apparatus, including an apparatus for adding three or more floating-point numbers. In one aspect, a method includes receiving, for each of three or more operands, a set of bits that include a floating-point representation of the operand. A given operand is identified. For each other operand, the mantissa bits of the operand are shifted such that the bits of the operand align with the bits of the given operand. A sticky bit for each other operand is determined. An overall sticky bit value is determined based on each sticky bit. The overall sticky bit value is zero whenever all of the sticky bits are zero or at least two sticky bits are non-zero and do not match. The overall sticky bit value matches the value of each non-zero sticky bit whenever all of the non-zero sticky bits match or there is only one non-zero sticky bit.

A multiplier circuit is described in which sub-products calculated in a first stage of a carry-save adder (CSA) network are output early, processed by applying a processing function, and re-injected into a subsequent stage of the CSA network to add the processed sub-products. This allows a CSA network provided for multiplication operations to be reused for operations which require sub-products to be processed and added, such as floating-point dot product operations performed on floating-point values represented in bfloatl6 format.

A multiplier circuit is described in which sub-products calculated in a first stage of a carry-save adder (CSA) network are output early, processed by applying a processing function, and re-injected into a subsequent stage of the CSA network to add the processed sub-products. This allows a CSA network provided for multiplication operations to be reused for operations which require sub-products to be processed and added, such as floating-point dot product operations performed on floating-point values represented in bfloatl6 format.

A second-order modulator includes a plurality of integrators and a parallel higher-bit processing part, and the parallel higher-bit processing part includes a plurality of addition and determination processing sections. The addition and determination processing section receives first and second carry inputs and first and second state inputs, and outputs a quantized output and first and second state outputs. A first selector selects one set from sets of the first and the second state outputs from the plurality of addition and determination processing sections and outputs the selected set, and a second selector selects one quantized output from the quantized outputs from the plurality of addition and determination processing sections. An output of the first selector is used as a selection control signal for the first and the second selectors.

An electronic calculating device (100) is provided arranged for encoded addition in an Abelian group N. The calculating device comprises a storage (140) configured to store encoded elements of the Abelian group N, an addition unit (150) arranged to add multiple encoded addends, wherein the addition unit is configured to form an encoded element comprising at least the encoded parts of the multiple encoded addends, and reduction unit (160) arranged to reduce an encoded element, by replacing in a sequence of the encoded elements, two encoded elements with a further encoded element.

An electronic calculating device (100) is provided arranged for encoded addition in an Abelian group N. The calculating device comprises a storage (140) configured to store encoded elements of the Abelian group N, an addition unit (150) arranged to add multiple encoded addends, wherein the addition unit is configured to form an encoded element comprising at least the encoded parts of the multiple encoded addends, and reduction unit (160) arranged to reduce an encoded element, by replacing in a sequence of the encoded elements, two encoded elements with a further encoded element.