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Analysis and Design of Combinational Logic

Analysis and Design of Combinational Logic. Karnaugh Maps. Five Variable Karnaugh Maps. Analysis and Design of Combinational Logic. Array Multipliers. Binary multiplication can be accomplished by array multiplier Multiplier is organized as an array structure

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Analysis and Design of Combinational Logic

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  1. Analysis and Design of Combinational Logic

  2. Karnaugh Maps Five Variable Karnaugh Maps

  3. Analysis and Design of Combinational Logic Array Multipliers • Binary multiplication can be accomplished by array multiplier • Multiplier is organized as an array structure • Consider 2 four bit multiplication • Partial product formed by bit by bit multiplication • a3 a2 a1 a0 • X b3 b2 b1 b0 a3b0 a2b0 a1b0 a0b0 a3b1 a2b1 a1b1 a0b1 a3b2 a2b2 a1b2 a0b2 a3b3 a2b3 a1b3 a0b3 O7 O6 O5 O4 O3 O2 O1 O0

  4. Array Multipliers a3 a2 a1 a0 X b3 b2 b1 b0 a3b0 a2b0 a1b0 a0b0 a3b1 a2b1 a1b1 a0b1 a3b2 a2b2 a1b2 a0b2 a3b3 a2b3 a1b3 a0b3 O7 O6 O5 O4 O3 O2 O1 O0 • O0 = a0b0 • O1 = a1b0 + a0b1 + c0 • O2 = a2b0 + a1b1 + a0b2 + c1 • O3 = a3b0 + a2b1 + a1b2 + a0b3 + c2 • O4 = a3b1 + a2b2 + a1b3 + c3 • O5 = a3b2 + a2b3 + c4 • O6 = a3b3 + c5 • O7 = c6

  5. Array Multipliers Product Terms

  6. Array Multipliers 4X4 Multiplier Using HA and FA

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