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An input-consuming logic gate L is reversible if it meets the following conditions: (1) L(x) = y is a gate where for any output y, there is a unique input x; (2) The gate L is reversible if there is a gate L´(y) = x which maps y to x, for all y. An example of a reversible logic gate is a NOT, which can be described from its truth table below:
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For example, a 32-bit integer can encode the truth table for a LUT with up to 5 inputs. When using an integer representation of a truth table, the output value of the LUT can be obtained by calculating a bit index k based on the input values of the LUT, in which case the LUT's output value is the kth bit of the integer.
In logic, a truth function [1] is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always output the same truth value.
The 2-1 AOI gate can be represented by the following boolean equation and truth table ... CD4085B = dual 2-2 ... 8-input 8-function with three-state output, ...
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In the state-transition table, all possible inputs to the finite-state machine are enumerated across the columns of the table, while all possible states are enumerated across the rows. If the machine is in the state S 1 (the first row) and receives an input of 1 (second column), the machine will stay in the state S 1.
As an aside, Tenant explains on p.460, truth value assignments need not be total functions, while on p.462, he claims that after taking care of redundancies, the disjunction truth table says if the truth value of A is T then that of (A or B) is T; the latter conclusion can be drawn (from an ordinary 4-row table as shown on p.463) only if the ...