Questions Describe the following gates

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Presentation transcript:

Questions Describe the following gates AND OR NOT EXOR Describe the difference between XOR and OR How do I know if I have achieved today? I can draw the logic gate and truth table for each of the gates: AND, OR, NOT and XOR I can count up to 8 in binary I can build a truth table for a combination of logic gates (up to four with three inputs) I can write a Boolean Expression for a given series of logic gates or produce a logic diagram from a Boolean expression.

Task Support (1) – Answer a question Problem – Produce a truth table for the following logic diagram. The structure of the table has been done for you. Investigation – Fill out the truth table for each of the logic gates below. . A R Q B A B R Q 1

Task Support (2) – Answer a question Problem – Produce a truth table for the following logic diagram. Investigation – The table below shows how to count up to 7 in binary. Can you spot the pattern with each column? Can you write the denary number next to each number? . A R 4 2 1 Q B C

Task Extend (1) – Answer a question Problem – Produce a truth table and Boolean Expression for the following logic diagram. Investigation – Write out an example of Boolean algebra for each of the following logic gates + NOT + AND + OR + XOR Notice below how the Boolean Algebra has been written out above each gate. It is then changed into an expression by using brackets to replace intermediate steps. . R = A AND B A B C R Q A AND B R AND Q R AND Q (A AND B)AND Q

Task Extend (2) – Answer a question Problem – Produce a truth table and Boolean Expression for the following logic diagram. Investigation – Write out an example of Boolean algebra for each of the following logic gates + NOT + AND + OR + XOR Notice below how the Boolean Algebra has been written out above each gate. It is then changed into an expression by using brackets to replace intermediate steps. . R = A AND B A B C R Q A AND B R AND Q R AND Q (A AND B)AND Q