The Excel table displayed input and output values covering ternary to binary

The excel table displayed input and output values

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table are ternary, converted to binary with the use of binary coded ternary. The Excel table displayed input and output values covering ternary to binary conversions of 0 to 10, the students completed the table for the 11 to 15 conversions. The equivalent binary values were labeled DCBA from 0000 to 1010; the students completed the table for the 1011 to 1111 conversions. The ternary equivalents XYZ are listed from 000 to 101. The design was limited to only display the ternary value Z. The DCBA input was in the form of LogicWork binary switches and the output was in the form of a LogicWorks Hex display. Procedure: Students copied and completed the given truth table into Excel for binary conversions 0000 to 1111. The listed ternary 4-bit binary Z values, composed of Z3, Z2, Z1, and Z0, were used to create 4 Karnaugh maps, one for each bit. The maps were used to derive 4 separate equations, of the Z binary bits in terms of DCBA. The formulas were then used to design the LogicWorks circuit. The LogicWorks design was then tested exhaustively and simplified before being built on the student’s protoboard. While building and designing the circuit, students were limited to only 2-input AND and OR gates, and inverters.
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  • Fall '08
  • SHI
  • Binary numeral system, LogicWorks

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