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Chapter 4: The Building Blocks: Binary Numbers, Boolean Logic, and Gates

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Chapter 4: The Building Blocks: Binary Numbers, Boolean Logic, and Gates

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    1. Chapter 4: The Building Blocks: Binary Numbers, Boolean Logic, and Gates Invitation to Computer Science, C++ Version, Fourth Edition

    2. Invitation to Computer Science, C++ Version, Fourth Edition 2 Objectives In this chapter, you will learn about The binary numbering system Boolean logic and gates Building computer circuits

    3. Invitation to Computer Science, C++ Version, Fourth Edition 3

    4. Learn 3 basic circuit symbols to design simple circuits. http://library.thinkquest.org/10784/circuit_symbols.html Invitation to Computer Science, C++ Version, Fourth Edition 4

    5. You should be able to design this. Invitation to Computer Science, C++ Version, Fourth Edition 5

    6. We will learn binary numbering system. Why does the computer use binary digit (0 and 1)? Homework assignment: Read the book to find out why (Section 4.2.3). Invitation to Computer Science, C++ Version, Fourth Edition 6

    7. Invitation to Computer Science, C++ Version, Fourth Edition 7 How to convert a decimal to a binary number? 510= 1012 710= 1112

    8. Invitation to Computer Science, C++ Version, Fourth Edition 8 Quiz 910= ______2 1110= _____2 1510= _____2

    9. Invitation to Computer Science, C++ Version, Fourth Edition 9 How to convert a binary to a decimal number? 1010 2 = 1010 ans: 1* 23 + 0* 22 + 1 * 21 + 0 * 20 = 8 + 0 + 2 + 0 = 10

    10. Invitation to Computer Science, C++ Version, Fourth Edition 10 1110 2 = 1410 ans: 1* 23 + 1* 22 + 1 * 21 + 0 * 20 = 8 + 4 + 2 + 0 = 14

    11. Invitation to Computer Science, C++ Version, Fourth Edition 11 Quiz 1010 2 = _______________10 10101 2 = ___________10 10111 2 = ___________10

    12. Invitation to Computer Science, C++ Version, Fourth Edition 12 Binary Addition 1 1 0 1 0 1 0 1 + 0 1 1 0 0 0 1 1 ----------------------------

    13. Invitation to Computer Science, C++ Version, Fourth Edition 13 ASCII Table: 8-bit Decimal Octal Hex Binary Value ------- ----- --- ------ ----- 065 101 041 01000001 A 066 102 042 01000010 B 067 103 043 01000011 C 068 104 044 01000100 D 069 105 045 01000101 E 070 106 046 01000110 F 071 107 047 01000111 G 072 110 048 01001000 H 073 111 049 01001001 I What is the binary representation of the character string BAD? 01000010 01000001 01000100

    14. Book Exercises P. 184. Do 3a 3b. 4a. 4b. 7. 9a Invitation to Computer Science, C++ Version, Fourth Edition 14

    15. Invitation to Computer Science, C++ Version, Fourth Edition 15 AND Truth Table T AND T is T T AND F is F F AND F is F F AND T is F _____(T/F) Assume that a=1, b=2, and c=3. The value of the following Boolean expression is TRUE. (a > 1) AND ( b > c)

    16. Invitation to Computer Science, C++ Version, Fourth Edition 16 Quiz _____(T/F) Assume that a=1, b=2, and c=3. The value of the following Boolean expression is TRUE. (a < 1) AND ( b > c) _____(T/F) Assume that a=1, b=2, and c=3. The value of the following Boolean expression is TRUE. (a > 1) AND ( b < c)

    17. Invitation to Computer Science, C++ Version, Fourth Edition 17 Circuit Symbol AND gate. If A is True and B is False, then what is output? ________

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