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# The output of NAND gate is LOW whenA. All input are high B. all inputs are lowC. only one input is high D. only one input is low

Last updated date: 22nd Jul 2024
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Hint:The utility of transistors as fast switches determines their use in the design of logic gates. The collector voltage with respect to the emitter can be near zero when the base-emitter diode is switched on sufficiently to be powered into saturation, and can be used to create gates for the TTL logic family.

Transistors and junction diodes are used to create a NAND gate. A two-input NAND gate's rationale can be expressed as $\overline {{\rm{AB}}} = \overline {\rm{A}} + \overline {\rm{B}}$ using De Morgan's rules, rendering a NAND gate analogous to inverters followed by an OR gate.
NAND gates with two or more inputs can be used in transistor-transistor logic, CMOS, and other logic families as integrated circuits. The function $NOT\left( {{a_1}\;AND\;{a_2}\;AND{\rm{ }}...{\rm{ }}AND\;{a_n}} \right).$ is logically equivalent to $NOT\left( {{a_1}\;AND\;{a_2}\;AND{\rm{ }}...{\rm{ }}AND\;{a_n}} \right).$
Note:A boolean expression is a logical argument that produces a boolean value, either True or False. In addition, digital circuits for True and False use the numbers $1$ and $0$.Statements that use logical operators, such as AND, OR, XOR, and NOT, are known as Boolean expressions.