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  2. Adder–subtractor - Wikipedia

    en.wikipedia.org/wiki/Addersubtractor

    By preceding each A input bit on the adder with a 2-to-1 multiplexer where: Input 0 (I 0) is A; Input 1 (I 1) is A; that has control input D that is also connected to the initial carry, then the modified adder performs addition when D = 0, or; subtraction when D = 1. This works because when D = 1 the A input to the adder is really A and the

  3. Kogge–Stone adder - Wikipedia

    en.wikipedia.org/wiki/Kogge–Stone_adder

    An example of a 4-bit Kogge–Stone adder is shown in the diagram. Each vertical stage produces a "propagate" and a "generate" bit, as shown. The culminating generate bits (the carries) are produced in the last stage (vertically), and these bits are XOR'd with the initial propagate after the input (the red boxes) to produce the sum bits. E.g., the first (least-significant) sum bit is ...

  4. Adder (electronics) - Wikipedia

    en.wikipedia.org/wiki/Adder_(electronics)

    With the addition of an OR gate to combine their carry outputs, two half adders can be combined to make a full adder. [2] The half adder adds two input bits and generates a carry and sum, which are the two outputs of a half adder. The input variables of a half adder are called the augend and addend bits. The output variables are the sum and carry.

  5. Serial binary adder - Wikipedia

    en.wikipedia.org/wiki/Serial_binary_adder

    The serial binary subtractor operates the same as the serial binary adder, except the subtracted number is converted to its two's complement before being added. . Alternatively, the number to be subtracted is converted to its ones' complement, by inverting its bits, and the carry flip-flop is initialized to a 1 instead of to 0

  6. Majority function - Wikipedia

    en.wikipedia.org/wiki/Majority_function

    The few systems that calculate the majority function on an even number of inputs are often biased towards "0" – they produce "0" when exactly half the inputs are 0 – for example, a 4-input majority gate has a 0 output only when two or more 0's appear at its inputs. [1] In a few systems, the tie can be broken randomly. [2]

  7. Carry-lookahead adder - Wikipedia

    en.wikipedia.org/wiki/Carry-lookahead_adder

    The LCU then generates the carry input for each of the 4 CLAs and a fifth equal to . The calculation of the gate delay of a 16-bit adder (using 4 CLAs and 1 LCU) is not as straight forward as the ripple carry adder. Starting at time of zero: calculation of and is done at time 1,

  8. Subtractor - Wikipedia

    en.wikipedia.org/wiki/Subtractor

    The full subtractor is a combinational circuit which is used to perform subtraction of three input bits: the minuend , subtrahend , and borrow in . The full subtractor generates two output bits: the difference D {\displaystyle D} and borrow out B out {\displaystyle B_{\text{out}}} .

  9. Carry-select adder - Wikipedia

    en.wikipedia.org/wiki/Carry-select_adder

    A conditional sum adder [3] is a recursive structure based on the carry-select adder. In the conditional sum adder, the MUX level chooses between two n/2-bit inputs that are themselves built as conditional-sum adder. The bottom level of the tree consists of pairs of 2-bit adders (1 half adder and 3 full adders) plus 2 single-bit multiplexers.