Basic Logical Operations (Fascinating)

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Basic Logical Operations (Fascinating) In this section you will learn what are the basic logical operations and how to evaluate different logical expressions Image from Star Trek © Paramount James Tam Logical AND Truth table Truth table X Y X AND Y X Y X AND Y False False False 0 0 0 False True False 0 1 0 True False False 1 0 0 True True True 1 1 1 Logic gate James Tam Basic logic 1 Logical AND: An Example T T F F T F AND F T F T T F F T F F T F James Tam Logical OR Truth table Truth table X Y X OR Y X Y X OR Y False False False 0 0 0 False True True 0 1 1 True False True 1 0 1 True True True 1 1 1 Logic gate James Tam Basic logic 2 Logical OR: An Example T T F F T F OR F T F T T F T T F T T F James Tam Logical NOT Truth table Truth table X Not X X Not X False True 0 1 True False 1 0 Logic gate James Tam Basic logic 3 Logical NOT: An Example T T F F T F NOTF F T T F T James Tam Logical NAND Truth table X Y X AND Y X NAND Y False False False True False True False True True False False True True True True False Truth table X Y X AND Y X NAND Y 0 0 0 1 Logic gate 0 1 0 1 1 0 0 1 1 1 1 0 James Tam Basic logic 4 Logical NAND: An Example T T F F T F AND F T F T T F F T F F T F NAND T F T T F T James Tam Logical NOR Truth table X Y X OR Y X NOR Y False False False True False True True False True False True False True True True False Truth table X Y X OR Y X NOR Y 0 0 0 1 Logic gate 0 1 1 0 1 0 1 0 1 1 1 0 James Tam Basic logic 5 Logical NOR: An Example T T F F T F OR F T F T T F T T F T T F NOR F F T F F T James Tam Logical Exclusive OR (XOR) Truth table Truth table X Y X XOR Y X Y X XOR Y False False False 0 0 0 False True True 0 1 1 True False True 1 0 1 True True False 1 1 0 Logic gate James Tam Basic logic 6 Logical XOR: An Example T T F F T F XOR F T F T T F T F F T F F James Tam Reasons For Learning About Logic Hardware perspective • The computer is built using logic circuits James Tam Basic logic 7 Reasons For Learning About Logic (2) Software perspective • Logic is common-place in computer programs James Tam You Should Now Know The different types of logical operations that a computer may perform • AND •OR • NOT • NAND • NOR • XOR How logic gates form an important part of computers James Tam Basic logic 8.

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