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Katherine Johnson’s mathematical calculations helped guide some of America’s most important early space missions while she confronted the racial and gender barriers faced by Black women in twentieth-century America.
MORE →Reflects the personal views, recollections, and perspective of the author, Mike Davis.
This is a personal recollection on the Move fire on May 13, 1985
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| NIMPLY gate truth table | ||
|---|---|---|
| Input | Output | |
| A | B | A ↛ B |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The NIMPLY gate (/ˈnɪmplaɪ/, NIM-plie) is a digital logic gate that implements a material nonimplication.
A right-facing arrow with a line through it () can be used to denote NIMPLY in algebraic expressions. Logically, it is equivalent to material nonimplication, and the logical expression A ∧ ¬B, i.e. it outputs 0 unless A is inputting 1 and B is inputting 0. It can be thought of as "A is blocked by B."
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| Traditional NIMPLY Symbol | IEC symbol |
The NIMPLY gate is often used in synthetic biology and genetic circuits.[1]
Common logical connectives | ||
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 | This computing article is a stub. You can help Wikipedia by adding missing information. |
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The NIMPLY gate (, NIM-plie) is a digital logic gate that implements a material nonimplication.
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. Depending on the context, the term may refer to an ideal logic gate, one that has, for instance, zero rise time and unlimited fan-out, or it may refer to a non-ideal physical device (see ideal and real op-amps for comparison). The primary way of building logic gates uses diodes or transistors acting as electronic switches. Today, most logic gates are made from MOSFETs (metal–oxide–semiconductor field-effect transistors). They can also be constructed using vacuum tubes, electromagnetic relays with relay logic, fluidic logic, pneumatic logic, optics, molecules, acoustics, or even mechanical or thermal elements. Logic gates can be cascaded in the same way that Boolean functions can be composed, allowing the construction of a physical model of all of Boolean logic, and therefore, all of the algorithms and mathematics that can be described with Boolean logic. Logic circuits include such devices as multiplexers, registers, arithmetic logic units (ALUs), and computer memory, all the way up through complete microprocessors, which may contain more than 100 million logic gates. Compound logic gates AND-OR-invert (AOI) and OR-AND-invert (OAI) are often employed in circuit design because their construction using MOSFETs is simpler and more efficient than the sum of the individual gates. There are seven basic logic gates: NOT, OR, NOR (Negation of the OR statement), AND, NAND (Negation of the AND statement), XOR (Exclusive OR), XNOR (Negation of the Exclusive OR statement).
The XNOR gate (sometimes ENOR, EXNOR, NXOR, XAND and pronounced as exclusive NOR) is a digital logic gate whose function is the logical complement of the exclusive OR (XOR) gate. It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow } ) from mathematical logic, also known as the material biconditional. The two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence gate". A high output (1) results if both of the inputs to the gate are the same. If one but not both inputs are high (1), a low output (0) results. The algebraic notation used to represent the XNOR operation is S = A ⊙ B {\displaystyle S=A\odot B} . The algebraic expressions ( A + B ¯ ) ⋅ ( A ¯ + B ) {\displaystyle (A+{\overline {B}})\cdot ({\overline {A}}+B)} and A ⋅ B + A ¯ ⋅ B ¯ {\displaystyle A\cdot B+{\overline {A}}\cdot {\overline {B}}} both represent the XNOR gate with inputs A and B.
The IMPLY gate is a digital logic gate that implements a logical conditional.
Before the 1921 destruction of Tulsa’s Greenwood District, Black residents had created a remarkable center of business and community life. The district included stores, professional offices, entertainment venues and homes owned by Black citizens. Understanding Greenwood means learning what was built—not only what was burned.
MORE →The Greenwood District.
