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C 10 10132011 example4 drawatruthtablefor thelogic 23

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Unformatted text preview: 1 0 1 1 1 0 Z XandY NOR function (not OR) X X NAND gate Z 0 1 1 0 Z = not X Z Bubble ‐ invert signal X Y Z 0 0 1 0 1 0 1 0 0 1 1 0 Inverted input signified by a bubble on the input….eg: X X Y Y X+Y NOR truth table Z=1 if both X and Y are 0 8 10/13/2011 XOR function (exclusive OR) X Z Y XOR gate XNOR function (NOT exclusive OR) X X Y Z 0 0 0 0 1 1 1 0 1 1 1 0 Z X xor Y Z X Y XOR truth table Z=1 if X has a different value from Y Gates with more than 2 inputs X Y Z T Z Y XNOR gate Z X xnor Y Z X Y Z ( X Y )' X Y Z 0 0 1 0 1 0 1 0 0 1 1 1 XNOR truth table Z=1 if X and Y are the same Logic gates summary T X Y Z 3-input NOR gate A B C D Z Z A B C D 4-input AND gate 9 10/13/2011 Combining primitive gates A B ( A B ). AB Logic diagram ( A B ). AB –as truth tables are identical David’ s purchase logic B = N(C+E)+WC Example 3 • Draw the logic diagram represented by: Z A B.C 10 10/13/2011 Example 4 Draw a truth table for the logic: 23 = 8 combinations A 0 0 0 0 1 1 1 1 Example 5 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 XM 10 11 00 00 00 00 00 00 A local systems designer has developed a system to control street lights. The street lights can...
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