A logic circuit configured to calculate a quotient Q based on a modified cross-sum of an input word CP, a digital circuit having a first input for the input word CP that is a bit-wise inverted value of a number N of M-bit digits having a radix 2.sup.M from a least significant digit to a most significant digit, the circuit configured to calculate a quotient Q, M and N being positive integer numbers larger than one, wherein the digital circuit has a second input RIN that is configured to be set to zero, or to receive a remainder value from another logic circuit, and wherein the digital circuit provides for an output word Q having N digits, each digit of radix 2.sup.M, the output word Q being a raw quotient of the bit-wise inverted value of the input word CP.

The present disclosure relates to a computing device for processing a multi-bit width value, an integrated circuit board card, a method, and a computer readable storage medium. The computing device may be included in a combined processing apparatus, and the combined processing apparatus may further include a general interconnection interface, and an other processing device. The computing device interacts with the other processing device to jointly complete a computing operation specified by a user. The combined processing apparatus may further include a storage device connected to an apparatus and the other processing device and configured to store data of the apparatus and the other processing device. The solution of the present disclosure can split the multi-bit width value so that the processing capability of the processor is not influenced by the bit width.

Methods and apparatus for optimizing a quantum circuit. In one aspect, a method includes identifying one or more sequences of operations in the quantum circuit that un-compute respective qubits on which the quantum circuit operates; generating an adjusted quantum circuit, comprising, for each identified sequence of operations in the quantum circuit, replacing the sequence of operations with an X basis measurement and a classically-controlled phase correction operation, wherein a result of the X basis measurement acts as a control for the classically-controlled correction phase operation; and executing the adjusted quantum circuit.

The present disclosure relates to a circuit and method for determining a sign indicator bit of a binary datum including a step for processing of the binary datum masked with a masking operation, and not including any processing step of the binary datum.

A method includes dividing a fraction of a floating point result into a first portion and a second portion. The method includes outputting a first normalizer result based on the first portion during to a first clock cycle. The method includes storing a first segment of the first portion during to the first clock cycle. The method includes outputting a first rounder result based on the first normalizer result during to the first clock cycle. The method includes outputting a second normalizer result based on the second portion during to a second clock cycle. The method includes outputting a second rounder result based on the second normalizer result and the first segment during to the second clock cycle.

Techniques and systems for solving Boolean satisfiability (SAT) problems are described. Some embodiments solve SAT problems using efficient construction of truth tables. Some embodiments can improve performance of SAT solvers by using truth tables instead of incurring the overhead of Conjunctive Normal Form (CNF) conversion.

A method includes dividing a fraction of a floating point result into a first portion and a second portion. The method includes outputting a first normalizer result based on the first portion during to a first clock cycle. The method includes storing a first segment of the first portion during to the first clock cycle. The method includes outputting a first rounder result based on the first normalizer result during to the first clock cycle. The method includes outputting a second normalizer result based on the second portion during to a second clock cycle. The method includes outputting a second rounder result based on the second normalizer result and the first segment during to the second clock cycle.

Various embodiments of the invention implement countermeasures designed to withstand attacks by potential intruders who seek partial or full retrieval of elliptic curve secrets by using Various embodiments of the invention implement countermeasures designed to withstand attacks by potential intruders who seek partial or full retrieval of elliptic curve secrets by using known methods that exploit system vulnerabilities, including elliptic operation differentiation, dummy operation detection, lattice attacks, and first real operation detection. Various embodiments of the invention provide resistance against side-channel attacks, such as simple power analysis, caused by the detectability of scalar values from information leaked during regular operation flow that would otherwise compromise system security. In certain embodiments, system immunity is maintained by performing elliptic scalar operations that use secret-independent operation flow in a secure Elliptic Curve Cryptosystem.

A method of training a neural network including multiple neural network weights and multiple neurons, and the method includes using floating-point signed digit numbers to represent each of the multiple neural network weights, wherein a mantissa of each of the multiple neural network weights is represented by multiple mantissa signed digit groups and an exponent of each of the multiple neural network weights is represented by an exponent digit group; and using the exponent digit group and at least one of the multiple mantissa signed digit groups to perform weight adjustment computation and neural network inference computation.

A method for calculating a neuron layer of a multi-layer perceptron model that includes a permanently hardwired processor core configured in hardware for calculating a permanently predefined processing algorithm in coupled functional blocks, a neuron of a neuron layer of the perceptron model being calculated with the aid of an activation function, the activation function corresponding to a simplified sigmoid function and to a simplified tan h function, the activation function being formed by zero-point mirroring of the negative definition range of the exponential function.