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A 2-Bit Comparator

A 2-Bit Comparator. Lecture L5.5 Experiment 3, p. 86. 2-Bit Magnitude Comparator. B1 B0 A1 A0. A_LT_B A_GT_B A_EQ_B. Magnitude Comparator. B1 B0. A1 A0. A_EQ_B. A_GT_B. A_LT_B. 0 0. 0 0. 1. 0. 0. 0 0. 0 1. 0. 1. 0. 0 0. 1 0. 0. 1. 0. 0 0. 1 1. 0. 1. 0.

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A 2-Bit Comparator

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  1. A 2-Bit Comparator Lecture L5.5 Experiment 3, p. 86

  2. 2-Bit Magnitude Comparator B1 B0 A1 A0 A_LT_B A_GT_B A_EQ_B

  3. Magnitude Comparator B1 B0 A1 A0 A_EQ_B A_GT_B A_LT_B 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0

  4. K-Map for A_EQ_B B1 B0 A1 A0 A_EQ_B A1 A0 0 0 0 0 1 00 01 11 10 B1 B0 0 0 0 1 0 0 0 1 0 0 1 00 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 01 1 0 1 1 0 0 0 1 1 1 0 11 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 10 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 Can’t Simplify 1 1 1 1 1

  5. K-Map for A_GT_B A1 A0 B1 B0 A1 A0 A_GT_B 00 01 11 10 B1 B0 0 0 0 0 0 0 0 0 1 1 1 1 1 00 0 0 1 0 1 0 0 1 1 1 01 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 11 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 10 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 A_GT_B = !B1 & A1 # !B1 & !B0 & A0 # !B0 & A1 & A0 1 1 1 0 0 1 1 1 1 0

  6. K-Map for A_LT_B A1 A0 B1 B0 A1 A0 A_LT_B 00 01 11 10 B1 B0 0 0 0 0 0 0 0 0 1 0 00 0 0 1 0 0 0 0 1 1 0 01 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 11 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 10 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 A_LT_B = B1 & !A1 # B0 & !A1 & !A0 # B1 & B0 & !A0 1 1 1 0 1 1 1 1 1 0

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