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5.8 Exclusive-OR Gates and Parity Circuits ReturnNext Exclusive-OR(XOR) Gates Exclusive-NOR(XNOR) Gates x ⊕ y=x · y+x · y x ⊙ y=x · y+x · y 0 1 1 0 0 1 0 0 1 1 0 1 X Y Inputs x⊕yx⊕y x⊙yx⊙y Outputs

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Equivalent symbols for XOR and XNOR gates NextBackReturn 5.8 Exclusive-OR Gates and Parity Circuits (a) XOR gates (b) XNOR gates Prove the upper symbols for XOR and XNOR is equivalent.

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Parity Circuits (p413 Figure 5-74) NextBackReturn 5.8 Exclusive-OR Gates and Parity Circuits The 74x280 9-Bit Parity Generator (p414 Figure 5-75) A B C D EVEN E F ODD G H I 74X280 5 12 8 9 10 11 13 1 2 4 6

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BackReturn 5.8 Exclusive-OR Gates and Parity Circuits Parity-Checking Applications (p415 Figure 5-76) Parity Circuits are also used with error- correcting codes (p416 Figure 5-77)

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