4_Computer Science Grade 10 Logical operations Data repr method instructions 1 variant

Methodological Instructions

Theme: Logical operations (disjunction, conjunction, inversion) 2 lesson

Objective: 10.2.2.1 use logical operations (disjunction, conjunction, inversion)

Assessment criteria

• know the basic concepts of the algebra of logic;

• explain the basic logical operations

• explain the basic logic functions (conjunction, disjunction, implication, equivalence, negation)

Basic Level:

From a grade 7–9 course, students have an idea of logical operations and truth tables.

Key words and phrases:

• construct simple and complex statements

• Designation of logical operations;

• Priority of logical operations.

Dictionary of specific terms and terminology:

• it is applied for …

• to solve a logical problem with the help of the truth table it is necessary ...

I.                   TESTS AND ASSIGNMENTS FOR SELF-ASSESSMENT.

1.      Build a truth table for the following logical expression:

2.      Build a truth table for the following logical expression:

3. Build a truth table for the following logical expression:

4. Build a truth table for the following logical expression:

5. Build a truth table for the following logical expression:

6. Build a truth table for the following logical expression:

7. Consider the following problem.

·        A system used 3 switches A, B and C; a combination of switches determines whether an alarm, X, sounds:

·        If switch A or switch B are in the ON position and if switch C is in the OFF position then a signal to sound an alarm, X is produced.

 Is it possible to convert this problem into a logic statement? If yes! Create a logic circuit diagram and give truth table to this problem.

8. A manufacturing process is controlled by a built in logic circuit which is made up of AND, OR and NOT gates only. The process receives a STOP signal (i.e. X = 1) depending on certain conditions, shown in the following table.

A stop signal (X = 1) occurs when:

either Volume, V > 1000 litres and Speed, S <= 15 m/s

or Temperature, T <= 750ºC and Speed, S > 15 m/s

Draw the logic circuit and truth table to show all the possible situations when the stop signal could be received.

VISUAL AIDS AND MATERIALS.

1.      Slides

2.      Boolean algebra http://mathworld.wolfram.com/BooleanAlgebra.html

3.      Video resource: https://www.youtube.com/watch?v=u8iuds3ky00

4.      Logical operation  video http://www.studfiles.ru/html/2706/215/html_WFZ1Hw_bLl.irgH/htmlconvd-mAiNgI_html_m7a8c3c09.gif

5.      Video resource: https://www.youtube.com/watch?v=jzwckx40Evw

6.      Video resource: https://www.youtube.com/watch?v=9857701OsDE&vl=en

7.      Logical Operators and Expressions https://pages.mtu.edu/~shene/COURSES/cs201/NOTES/chap03/logical.html

8.      Digital Logic Gates Tutorial  https://www.electronics-tutorials.ws/logic/logic_10.html

9.      Logical operation https://www.computerhope.com/jargon/l/logioper.htm

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