Embodiments described herein are directed to mixed-radix carry-lookahead adders and methods performed thereby. The mixed-radix carry-lookahead adder includes an multiple carry-lookahead stages, where each stage may be of a different radix. Each stage operates on input bits, creating and implementing propagate and generate signals for each bit. The carry-lookahead stages also compute an XOR of the inputs that is forwarded to a final carry-lookahead stage. The elements of the initial and subsequent carry-lookahead stages are arranged such that each of the propagate and generate output signals passes through a minimal number of passive transmission lines. The final stage of the mixed-radix carry-lookahead adder includes an XOR logic gate configured to receive the generate output from an intermediate carry-lookahead stage and XOR the generate output received from the intermediate carry-lookahead stage with the computed XOR signal forwarded from the initial carry-lookahead stage to produce a sum of the input bits.

A carry-lookahead adder is provided. A first mask unit performs first mask operation on first input data with the first mask value to obtain first masked data. A second mask unit performs second mask operation on second input data with the second mask value to obtain second masked data. A first XOR gate receives the first and second mask values to provide a variable value. A half adder receives the first and second masked data to generate a propagation value and an intermediate generation value. A third mask unit performs third mask operation on the propagation value with the third mask value to obtain the third masked data. A carry-lookahead generator provides the carry output and the carry value according to carry input, the generation value, and the propagation value. The second XOR gate receives the third masked data and the carry value to provide the sum output.

A carry-lookahead adder is provided. A first mask unit performs first mask operation on first input data with the first mask value to obtain first masked data. A second mask unit performs second mask operation on second input data with the second mask value to obtain second masked data. A first XOR gate receives the first and second mask values to provide a variable value. A half adder receives the first and second masked data to generate a propagation value and an intermediate generation value. A third mask unit performs third mask operation on the propagation value with the third mask value to obtain the third masked data. A carry-lookahead generator provides the carry output and the carry value according to carry input, the generation value, and the propagation value. The second XOR gate receives the third masked data and the carry value to provide the sum output.

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

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

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

A Vector Checksum instruction. Elements from a second operand are added together one-by-one to obtain a first result. The adding includes performing one or more end around carry add operations. The first result is placed in an element of a first operand of the instruction. After each addition of an element, a carry out of a chosen position of the sum, if any, is added to a selected position in an element of the first operand.

A Vector Checksum instruction. Elements from a second operand are added together one-by-one to obtain a first result. The adding includes performing one or more end around carry add operations. The first result is placed in an element of a first operand of the instruction. After each addition of an element, a carry out of a chosen position of the sum, if any, is added to a selected position in an element of the first operand.

A Vector Checksum instruction. Elements from a second operand are added together one-by-one to obtain a first result. The adding includes performing one or more end around carry add operations. The first result is placed in an element of a first operand of the instruction. After each addition of an element, a carry out of a chosen position of the sum, if any, is added to a selected position in an element of the first operand.

A Vector Checksum instruction. Elements from a second operand are added together one-by-one to obtain a first result. The adding includes performing one or more end around carry add operations. The first result is placed in an element of a first operand of the instruction. After each addition of an element, a carry out of a chosen position of the sum, if any, is added to a selected position in an element of the first operand.