Binary Logic.

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Presentation transcript:

Binary Logic

Binary 1’s and 0’s On or Off High or Low voltage levels

Truth Tables & Logic Gates A truth table is a diagram that shows all possible logical inputs and their associated outputs. Logic gates are circuits that are used to perform a logical operation in computing.

NOT Gate The NOT gate is the simplest gate used in computing as it has a single input and output that perform the following logic: when the input is 0, the output will be 1 when the input is 1, the output will be 0 Note that the NOT function output is the inverse (or opposite) of the input; this logical information can be expressed in a truth table as shown below: A R 1 The symbol used to represent a NOT gate is shown in the diagram below. Output R Input A

The OR gate has two or more inputs and the output will be: 0 when ALL the inputs are 0 1 when ANY or ALL inputs are 1 Note that the OR function output is true if either or both inputs are true; this logical information can be expressed in a truth table as shown below: A B R 1 The symbol used to represent an OR gate is shown in the diagram below. Output R A Inputs B

AND Gate The AND gate has two or more inputs and the output will be: 1 when ALL the inputs are 1 0 when ANY or ALL inputs are 0 Note that the AND function output is true if all inputs are true; this logical information can be expressed in a truth table as shown below: A B R 1 The symbol used to represent an AND gate is shown in the diagram below. Output R A Inputs B

NOT (A) AND NOT (B) Draw diagram and truth table onto paper A B A B R 1

June 2014 – Qu 7 Solution A B NOT (a AND b) 1