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Figure 1: Logic diagram for a half subtractor. The half subtractors can be designed through the combinational Boolean logic circuits [2] as shown in Figure 1 and 2. The half subtractor is a combinational circuit which is used to perform subtraction of two bits.
For example, the part of an arithmetic logic unit, or ALU, that does mathematical calculations is constructed using combinational logic. Other circuits used in computers, such as half adders, full adders, half subtractors, full subtractors, multiplexers, demultiplexers, encoders and decoders are also made by using combinational logic.
A further step would be to change the 2-to-1 multiplex on A to a 4-to-1 with the third input being zero, then replicating this on B i thus yielding the following output functions: 0 (with both the A i and B i inputs set to zero and D = 0) 1 (with both the A i and B i inputs set to zero and D = 1) A (with the B i input set to zero) B (with the A ...
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.
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.
A Warnier/Orr diagram (also known as a logical construction of a program/system) is a kind of hierarchical flowchart that allows the description of the organization of data and procedures. They were initially developed 1976, [ 1 ] in France by Jean-Dominique Warnier [ 2 ] and in the United States by Kenneth Orr [ 3 ] on the foundation of ...
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 ...
For example, a CPU starts an addition operation by routing the operands from their sources (typically processor registers) to the ALU's operand inputs, while simultaneously applying a value to the ALU's opcode input that configures it to perform an addition operation. At the same time, the CPU enables the destination register to store the ALU ...