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2_Computer Science Grade 10 Logical operations Data repr presentation 1 2 variant.pptx
Solve the rebus:
logical function
4 = f
blot
call
gun
Logical operations (disjunction, conjunction, inversion) 1 lesson
10.2.2.1 use logical operations (disjunction, conjunction, inversion)
Individual work. The questions to repeat The teacher goes with a box, students take out cards with one question.
1. Smallest unit of information
2. What is called a number system?
3. What number system is used in computer technology?
4. What number system are referred to as standard?
5. How to go from decimal to any other number system?
6. How to switch from any number system to decimal system?
7. How does a computer measure information?
8. What are the rules for adding binary numbers?
9. What are the rules for subtracting binary numbers?
10. How can I multiply two binary numbers?
Individual work. Bilimland.kz 2437. Binary numeral system (2 min)
Exercise 3. Drag and drop missed words from the boxes.
https://bilimland.kz/en/courses/computer-science/8th-grade/lesson/binary-numeral-system
Individual work.
Which of the following sentences are statements? Determine their truth.
А | А |
0 | 1 |
1 | 0 |
А | В | АВ |
0 | ||
1 | ||
1 | 0 | 1 |
Basic (Boolean) logical operations
Logic function | Designation | Actions performed | Truth table |
Logical negation - inversion | НЕ, | Changes the value of an expression to the opposite. | |
Boolean multiplication - conjunction | И, | Binds 2 logical expressions and returns true, if both expressions are true, false - in other cases | |
Logical addition - disjunction | ИЛИ, | Binds 2 logical expressions and returns false, if both expressions are false, true - in other cases |
А | В | АВ |
0 | ||
1 | 0 | |
1 | 0 | |
utterance
A statement is a declarative sentence in any language whose content can be uniquely defined as true or false.
Designation: True - And or 1, False - L or 0
Examples:
“For us, being patriots means living with Kazakhstan in our hearts.”
“We are Kazakhstanis, and we are talking about this with great pride.”
Examples of statements:
This card is blue. - saying
What color is this card?- is not a statement
Napoleon is the French emperor. - saying
French Emperor.« - is not a statement
Graphic representation of logical operations
The logical element of a computer is a part of an electronic logic circuit that implements an elementary logic function.
Electronic circuits that implement various logical operations are called gates.
The basic logic elements implement the basic logical operations we considered earlier:
The logical element "And" - logical multiplication;
The logical element "OR" - a logical addition;
The logical element "NOT" - inversion.
The logical element "And" - logical multiplication;
Two signals (00, 01, 10 or 11) are applied to the inputs A and B of the logic element. The output signal is 0 or 1 in accordance with the truth table of the logical multiplication operation.
The logical element "OR" - a logical addition;
Two signals are applied to the inputs A and B of the logic element (00, 01, 10, il 11). The output signal is 0 or 1 in accordance with the truth table of the logical addition operation.
The logical element "NOT" - inversion.
The logical element "NOT". 0 or 1 is fed to the input A of the logic element. And the output is 0 and 1 in accordance with the inversion truth table.
Determine the number of logical variables.
Determine the number of basic logical operations and their order.
Display for each logical operation the corresponding valve.
Connect the valves in the order of logical operations.
Algorithm for constructing logic circuits.
Example. Create a logical scheme for the following logical expression:
Decision.
Two variables: X and Y.
Two logical operations: disjunction and conjunction.
We build the scheme:
Reflection
What knows?
What remained unclear.
What is necessary to work on.
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