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A logic circuit diagram for a 4-bit carry lookahead binary adder design using only the AND, OR, and XOR logic gates.. A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.
This schematic diagram shows the arrangement of four OR gates within a standard 4071 CMOS integrated circuit. OR gates are basic logic gates, and are available in TTL and CMOS ICs logic families. The standard 4000 series CMOS IC is the 4071, which includes four independent two-input OR gates. The TTL device is the 7432.
The AND gate is a basic digital logic gate that implements logical conjunction (∧) from mathematical logic – AND gate behaves according to the truth table. A HIGH output (1) results only if all the inputs to the AND gate are HIGH (1). If not all of the inputs to the AND gate are HIGH, a LOW output results.
XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or ( ↮ {\displaystyle \nleftrightarrow } ) from mathematical logic ; that is, a true output results if one, and only one, of the inputs to the ...
NOR Gates are basic logic gates, and as such they are recognised in TTL and CMOS ICs. The standard, 4000 series , CMOS IC is the 4001, which includes four independent, two-input, NOR gates. The pinout diagram is as follows:
Quantum full adder, using Toffoli and CNOT gates. The CNOT-gate that is surrounded by a dotted square in this picture can be omitted if uncomputation to restore the B output is not required. Using only the Toffoli and CNOT quantum logic gates, it is possible to produce quantum full- and half-adders.
Several important complexity measures can be defined on Boolean circuits, including circuit depth, circuit size, and the number of alternations between AND gates and OR gates. For example, the size complexity of a Boolean circuit is the number of gates in the circuit. There is a natural connection between circuit size complexity and time ...
Diagram of the NAND gates in a CMOS type 4011 integrated circuit. NAND gates are basic logic gates, and as such they are recognised in TTL and CMOS ICs. The standard, 4000 series, CMOS IC is the 4011, which includes four independent, two-input, NAND gates. These devices are available from many semiconductor manufacturers.