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1 Boolean Algebra and Digital Logic

1.8 Summary


Circuit Symbols according to ANSI/IEEE Std 91a-1991 (IEEE Standard Graphic Symbols for Logic Functions)

The following table summarizes the most important circuit symbols as defined by the IEC/ANSI/IEEE standards.

Symbol
Description
OR Element

The output stands at its 1-state if and only if one or more of the inputs stand at their 1-states.

AND Element

The output stands at its 1-state if and only if all inputs stand at their 1-states.

Logic Threshold Element

The output stands at its 1-state if and only if the number of inputs that stand at their 1-states is equal to or greater than the number in the qualifying symbol, represented here by m.
NOTE 1: m shall always be smaller than the number of inputs.
NOTE 2: an element with m=1 is equivalent to an OR element.

m and only m Element

The output stands at its 1-state if and only if the number of inputs that stand at their 1-state is equal to the number in the qualifying symbol, represented here by m.
NOTE 1: m shall always be smaller than the number of inputs.
NOTE 2: an element with two inputs and m=1 is an exclusive-OR element.

Majority Element

The output stands at its 1-state if and only if the majority of the inputs stand at their 1-states.

Logic Identity Element

The output stands at its 1-state if and only if all inputs stand at the same state.

Table 1.9: Standard Graphic Symbols for Logic Functions.


Symbol
Description
Addition-mod-2-Element
(ODD element, ODD-parity element, addition modulo 2 element)

The output stands at its 1-state if and only if the number of inputs that stand at their 1-state is odd (1, 3, 5, etc.).

EVEN Element, EVEN-parity Element

The output stands at its 1-state if and only if the number of inputs that stand at their 1-states is even (0, 2, 4, etc.).

Buffer without specially amplified output

The output stands at its 1-state if and only if the input stands at its 1-state.

Negator, Inverter (in the case of device representation using a single logic convention)

The output stands at its external 0-state if and only if the input stands at its external 1-state.

Inverter (in the case of device representation using direct polarity indication)

The output stands at its L-level if and only if the input stands at its H-level.

Table 1.10: Standard Graphic Symbols for Logic Functions (continuation).

 

The Inverter symbol shows that attributes can be added to inputs, outputs and other connections, in order to show a logic negation or polarity, respectively:

Symbol
Description
Logic negation, shown at an input.
The external 0-state produces the internal 1-state.
Logic negation, shown at an output.
The internal 1-state produces the external 0-state.
Logic polarity, polarity indicator shown at an input.
The L-level on the input produces the internal 1-state.
Logic polarity, polarity indicator shown at an output.
The internal 1-state produces the L-level on the output.

Active-low input in the case of signal flow from right to left.

Active-low output in the case of signal flow from right to left.

Table 1.11: Negation, polarity, and dynamic input symbols.


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