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The 74S181 4-bit ALU bitslice resting on a page from the datasheet. The 74181 is a 4-bit slice arithmetic logic unit (ALU), implemented as a 7400 series TTL integrated circuit. Introduced by Texas Instruments in February 1970, [1] it was the first complete ALU on a single chip. [2]
Karnaugh maps are used to simplify real-world logic requirements so that they can be implemented using the minimal number of logic gates. A sum-of-products expression (SOP) can always be implemented using AND gates feeding into an OR gate , and a product-of-sums expression (POS) leads to OR gates feeding an AND gate.
Logic plays a fundamental role in computer science. Some of the key areas of logic that are particularly significant are computability theory (formerly called recursion theory), modal logic and category theory. The theory of computation is based on concepts defined by logicians and mathematicians such as Alonzo Church and Alan Turing.
These times are specified in the data sheet for the device, and are typically between a few nanoseconds and a few hundred picoseconds for modern devices. Depending upon the flip-flop's internal organization, it is possible to build a device with a zero (or even negative) setup or hold time requirement but not both simultaneously.
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The 4000 series is a CMOS logic family of integrated circuits (ICs) first introduced in 1968 by RCA. [1] It was slowly migrated into the 4000B buffered series after about 1975. [2] It had a much wider supply voltage range than any contemporary logic family (3V to 18V recommended range for "B" series).
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Higher speed than the original 74 series, at the expense of power dissipation. TTL logic levels. [24]: 6–2 [25]: 3–6 74L Low-Power 5 V ±5% 60 ns 3.6 mA −0.2 mA 1967 [26]: 72 Same technology as the original 74 family, but with larger resistors to lower power consumption at the expense of gate speed. TTL logic levels. Now obsolete.