Chapter 2.3 Binary Logic.

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Presentation transcript:

Chapter 2.3 Binary Logic

Binary Logic

Binary Logic

Binary Logic

Explain why data is represented in computer systems in binary form To be able to process data Computer made up of billions transistors with on and off switches which is why the data needs to be in binary, 0 off and 1 on. Instructions are converted into machine code (binary for Harry’s benefit) before being sent to the CPU Activates the CPU to carry out instructions CPU executes the instruction Data is therefore only represented in binary form because computer circuits only have two switches on and off.

Understand and produce simple logic diagrams using the operations NOT, AND and OR

Simple logic Diagrams Digital systems are said to be constructed by using logic gates. These gates are the AND, OR, NOT. The basic operations are described below with the aid of truth tables. The OR gate is an electronic circuit that gives a high output (1) if one or more of its inputs are high.

Or

And

NOT

Truth Tables a diagram of the outputs from all possible combinations of input.

= Truth Table Example The art show was enjoyable AND the room was hot. Step 1: Use a variable to represent each basic statement. P: The art show was enjoyable. Q: The room was hot. Since there are two variables, there are four rows in the table (two raised to the power of two). There are three columns; two for the variables and one for the conjunction. = Both need to be the same for the outcome to come out true or false. If it is different then the outcome is false.

Questions Explain what a logic gate is. Explain what a truth table is. Draw a truth table for each of the logic gates AND OR and NOT. Draw a diagram for each logic gate using the correct symbols.

Worksheets 1-5