Explain the Logic NOT Gate or Inverter and its Operation with Truth Table

NOT Gate or Inverter

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The Not Gate (or inverter) performs a basic logic function called inversion or complementation. The purpose of the inverter is to change one logic level to the opposite level. In terms of bits, it changes a 1 to 0 and vice-versa.

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This gate has only one input and one output. NOT gate is called the inverter because output state is always opposite to the input state, so when the input is low signal, output is high signal and vice-versa.

It is called NOT gate because the output state is always opposite to that of the input state. A transistor may be used as an inverter, as shown in fig 1.

Transistor as an inverter

Fig.1

When the input signal to the base of transistor, is zero, base current of transistor is zero, as no current flows in collector circuit and the output voltage  remains equal to VCC i.e. 5V. On the other hand when the input signal is high, base current flows through the transistor resulting in flow of saturation current in collector circuit. Because of high collector current there will be large voltage drop across the collector resistance RC and so output Vout will be at low level.

Symbols used for representing inverters are shown in fig.2

inverter symbol                          inverter symbol2

                 Fig 2 (a)                                                                   Fig. 2(b)

Bubble shown in symbols, itself shows that output is a complement of input. The placement of the bubble on the input or output of a logic element is determined by the active state of the input signal (pulse or level). The active state is the state (1 or 0) when the signal is considered to be present on the output. When the active state of the input is a 0, the bubble is placed on the input.

The logic equation of the NOT gate is written as

inverter equationTruth Table of NOT Gate

And is read as ‘Z equals NOT A’or ‘Z equals complement of A’. The truth table of a NOT gate is given in table 1

truth table of inverter

Table 1

Standard Package

It contains the TTL hex inverter. It is a 14-pin dual-in-line package. Fig 3 depicts the pinout diagram of IC 7404.

7404 inverter

Fig 3

Pulsed Operation

Fig 4 depicts the output of an inverter (or NOT gate) for a pulse input.

PULSED operation of not gate

Fig.4

When the input is low, the output is high and when the input is high, the output is low. Thus the inverter produced inverted pulses.