Design a circuit that implements the logic circuit

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Reference no: EM13318655

design an incrementer / decrementer circuit. A control input (ud)
to your circuit decides whether to increment or decrement the input value. Your circuit should work
correctly for any input X (0 ≤ X ≤ 5). Available to you are chips with the following contents:

  • a chip with 6 NOT gates
  • a chip with 4 2-input AND gates
  • a chip with 4 2-input NAND gates
  • a chip with 4 2-input OR gates
  • a chip with 4 2-input NOR gates
  • a chip with 4 2-input XOR gates
  • a chip with 4 2-input XNOR gates
  • a chip with 3 3-input AND gates
  • a chip with 3 3-input NAND gates
  • a chip with 3 3-input OR gates
  • a chip with 3 3-input NOR gates
  • a chip with 2 4-input NAND gates
  • a chip with 2 4-input NOR gates
  • a chip with 1 8-input NAND gate

Each chip costs $0.10, and each logic gate has a propagation delay of 20 ns. Using these chips,
a)  Design a circuit that implements the logic circuit using the fewest total number oflogic gates.
b)  Design a circuit that implements the logic circuit with the lowest propagation delayfrom input to output.
c) Design a circuit that implements the logic circuit at the lowest cost.

 

Reference no: EM13318655

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