Enhancement-Mode MOSFETS As Switches - The NAND Gate

Strings (SiPjAjk) = S7P5A51     Base Sequence = 12735     String Sequence = 12735 - 5 - 51

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Enhancement-Mode MOSFETS As Switches - The NAND Gate
Math Enhancement-mode MOSFETS are primary components in amplification and switching circuits. They are combined in various ways as gates to realize complex switching configurations.

Figure 123.6(a) is an arrangement of two pMOS connected in parallel and two nMOS connected in series to form a NAND gate. Figure 123.6(b) is the symbol and Figure 123.6(c) is the truth table for the configuration.
Show how the circuit of figure 123.6(a) functions as a NAND gate.

The strings: S7P5A51 (Physical Change).

The math:
Pj Problem of Interest is of type change (physical change). Transistors are primarily used for signal amplification and switching. Both are change problems. Consider figure 123.6(a). When A = 0 and B = 0, there is a conduction path from each pMOS to the output. So the output=1. The output=1 whenever there is a conduction path from any of the pMOS to the output. The output=0 when there is no conduction path from any of the pMOS. This scenario occurs when A=1 and B=1 as shown in the truth table (figure 123.6c).

NAND-gates can be used to build any kind of gate. For example, an an INVERTER is just a NAND-gate with only one input; an AND-gate is a NAND with an INVERTER at its output; and an OR-gate is a NAND-gate with an INVERTER on each input. Consequently, some circuit technology uses the NAND-gate as the most primitive building block, from which everything else is built. The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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