ENGR 2720 Chapter 02

ENGR 2720 Chapter 02 - 1 Chapter 2 Logic Functions and...

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Unformatted text preview: 1 Chapter 2 Logic Functions and Gates 2 Chapter 2 Homework 2.1, 2.3, 2.5, 2.7, 2.9, 2.11, 2.17, 2.19, 2.21, 2.39 3 Basic Logic Functions The three basic logic functions are: AND OR NOT Y = AB 4 Logic Function Representation Logic functions can be represented: algebraically using truth tables using electronic circuits. 5 Algebraic Representation Uses Boolean algebra. Boolean variables have two states (binary). Boolean operators include AND, OR, and NOT. 6 Truth Table Representation Defines the output of a function for every possible combination of inputs. A system with n inputs has 2 n possible combinations. 7 Electronic Circuit Representation Uses logic gates to perform Boolean algebraic functions. Gates can be represented by schematic symbols. Symbols can be either distinctive-shape or rectangular-outline. 8 Distinctive Shape Schematic Symbols Uses different graphic representations for different logic functions. Uses a bubble (a small circle) to indicate a logical inversion. 9 Rectangular-Outline Schematic Symbols All functions are shown in rectangular form with the logic function indicated by standard notation inside the rectangle. The notation specifying the logic function is called the qualifying symbol. Inversion is indicated by a 1/2 arrowhead. 10 NOT Function One input and one output. The output is the opposite logic level of the input. The output is the complement of the input. 11 NOT Function Boolean Representation Inversion is indicated by a bar over the signal to be inverted. A Y = 12 NOT Function Electronic Circuit Called a NOT gate or, more usually, an INVERTER. Distinctive-shape symbol is a triangle with inversion bubble. Rectangular-shape symbol uses 1 and the inversion 1/2 arrowhead. 13 NOT Function Electronic Circuit 14 AND Function Two or more inputs, one output. Output is HIGH only when all of the inputs are HIGH. Output is LOW whenever any input is LOW. 15 A B Y 1 1 1 1 1 AND Function 16 AND Boolean Representation AND symbol is or nothing at all....
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ENGR 2720 Chapter 02 - 1 Chapter 2 Logic Functions and...

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