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  2. Carry flag - Wikipedia

    en.wikipedia.org/wiki/Carry_flag

    The result should be 510 which is the 9-bit value 111111110 in binary. The 8 least significant bits always stored in the register would be 11111110 binary (254 decimal) but since there is carry out of bit 7 (the eight bit), the carry is set, indicating that the result needs 9 bits. The valid 9-bit result is the concatenation of the carry flag ...

  3. Carry (arithmetic) - Wikipedia

    en.wikipedia.org/wiki/Carry_(arithmetic)

    The same carry bit is also generally used to indicate borrows in subtraction, though the bit's meaning is inverted due to the effects of two's complement arithmetic. Normally, a carry bit value of "1" signifies that an addition overflowed the ALU, and must be accounted for when adding data words of lengths greater than that of the CPU. For ...

  4. Carry-save adder - Wikipedia

    en.wikipedia.org/wiki/Carry-save_adder

    A carry-save adder [1] [2] [nb 1] is a type of digital adder, used to efficiently compute the sum of three or more binary numbers. It differs from other digital adders in that it outputs two (or more) numbers, and the answer of the original summation can be achieved by adding these outputs together.

  5. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits.It is a fast and simple action, basic to the higher-level arithmetic operations and directly supported by the processor.

  6. Carry-skip adder - Wikipedia

    en.wikipedia.org/wiki/Carry-skip_adder

    The n-bit-carry-skip adder consists of a n-bit-carry-ripple-chain, a n-input AND-gate and one multiplexer. Each propagate bit , that is provided by the carry-ripple-chain is connected to the n-input AND-gate. The resulting bit is used as the select bit of a multiplexer that switches either the last carry-bit or the carry-in to the carry-out ...

  7. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    On a typical binary implementation, this is equivalent to saying that this carry word can be avoided if the number of bits of N is smaller than the number of bits of R. Otherwise, the carry will be either zero or one. Depending upon the processor, it may be possible to store this word as a carry flag instead of a full-sized word.

  8. Logical shift - Wikipedia

    en.wikipedia.org/wiki/Logical_shift

    For example, in Java and JavaScript, the logical right shift operator is >>>, but the arithmetic right shift operator is >>. (Java has only one left shift operator (<<), because left shift via logic and arithmetic have the same effect.) The programming languages C, C++, and Go, however, have only one right shift operator, >>. Most C and C++ ...

  9. Half-carry flag - Wikipedia

    en.wikipedia.org/wiki/Half-carry_flag

    The Auxiliary Carry flag is set (to 1) if during an "add" operation there is a carry from the low nibble (lowest four bits) to the high nibble (upper four bits), or a borrow from the high nibble to the low nibble, in the low-order 8-bit portion, during a subtraction. Otherwise, if no such carry or borrow occurs, the flag is cleared or "reset ...