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Design a circuit which takes a 3-bit unsigned integer, n, as input.

by | Dec 1, 2023 | Posted Questions

Design a circuit which takes a 3-bit unsigned integer, n, as input. If n is ODD, multiply it by 2 and subtract 1 [F(odd n)=2n-1]. If n is EVEN, divide it by 2 and add 1 [F(even n)=n/2+1]. Zero (n=0) is assumed to be even.

  • Show the truth table for the circuit.
  • Find a simplified expression for each output.
  • Simplify Boolean algebra or K-maps
  • Draw the final logic diagram
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