Students should be able to (a) produce a truth table from a given logic diagram
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1 Truth tables Teacher s Notes Lesson Plan Length 60 mins Specification Link 2.1.2/f inary logic Learning objective Students should be able to (a) produce a truth table from a given logic diagram Time (min) ctivity Further Notes 10 Using a projector show the Starter ctivity. sk the students to predict what should be selected for each of the logical arguments and then display the results. The reset button will then display all of the elements. N press the reset button between buttons, otherwise only the results currently displayed will appear. 5 Watch the set of videos. Inform the students that they have been investigating oolean logic, first proposed by George oole in the 1800s. In oolean algebra, all values can be reduced to true or false and is therefore important in the operation of computers as it coincides with the binary numbering system. Show students the link to the specification. Explain the purpose and objectives of the lesson. 5 sk some questions about the videos to assess learning. For example: What is a truth table? What are the shapes of the symbols used to represent ND, OR and NOT? 20 Worksheet 1 Students to complete Worksheet 1 either on paper or on a computer. sk individual students for their answers and discuss with the class so that all students will have the correct answers entered on their worksheets. table that displays all the possible results of a logic function. nswers provided.
2 Time (min) ctivity Further Notes 15 The students should now use the Kent State University logic gate simulator. ( Instructions for using this resource may be found in the help section at the top of the webpage. The students can simulate the operation of logic gates and switches. They should demonstrate all of the examples in Worksheet 1 and compound operations e.g. ND with NOT Extension Challenge/Homework The students should complete and submit Worksheet 2. 5 Plenary Display the following example: C sk the students to produce a truth table for this function.
3 WORKSHEET 1 NSWERS 1 (a) Explain what is meant by the following terms: (i) inary digit Either of the digits 0 or 1 used in the binary number system. It is shortened to the term bit. (ii) yte unit that usually consist of 8 bits. byte is the number of bits needed to encode a single character of text and is the smallest addressable unit of memory. (b) Explain what is meant by a nibble and why it is used in computing. nibble consists of 4 bits or half a byte. s there are possible values, so a nibble corresponds to a single hexadecimal digit. Therefore an eight digit byte can be represented by two digits of hexadecimal. 2 Split the following bytes into nibbles and then convert them to hex. Write your answers in the spaces provided. (a) Nibbles Hex (b) Nibbles Hex (c) Nibbles Hex D F In the spaces below place the following into ascending order according to size. Megabyte it Nibble Terabyte yte Gigabyte Kilobyte it Nibble yte Kilobyte Megabyte Gigabyte Terabyte
4 WORKSHEET 2 NSWERS 1 Complete the following sentence: Logic gates are switches which perform a logical function on one or more logical inputs and produce a single logical output. 2 In the spaces below draw the symbols used to represent the following logic gates. ND OR NOT Complete the following sentence: truth table is a breakdown of a logic function by listing all possible values the function can attain. 4 Complete the truth tables for the following gates. (a) Symbol Truth table
5 WORKSHEET 1 NSWERS 4 Complete the truth tables for the following gates. (b) Symbol Truth table (c) Symbol Truth table (a) Complete the truth table for the following combination. C C D (a) Give the logic statement for this combination. = NOT ( ND )
6 WORKSHEET 1 NSWERS 6 Give the logic gate drawing and the truth table for the following logic statement. = NOT ( OR ) C C D
7 WORKSHEET 2 NSWERS 1 P ,1 1 1
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