ECS154A Homework #1

  1. Do problem A.3 in the book

  2. Do Problem A.4 in the book

  3. A combinational circuit is used to control a 7-segment display of decimal digits. The circuit has 4 inputs (x3, x2, x1, x0), which provide the 4-bit code used in BCD representation (0000 = 0, 1001 = 9). The seven outputs (y6, y5, y4, y3, y2, y1, y0) define which segments will be activated to display a given decimal digit. Note some combinations of inputs and outputs are not needed.

    1. Write the truth table for this circuit
    2. Express the truth table in SOP form
    3. Express the truth table in POS form
    4. Provide a simplified expression
    5. Implement your circuit in Diglog
          y0
           _
       y1 |_| y2   y3 is center bar
       y4 |_| y5
          y6
      
      
      Segments that are illuminated for each set of inputs
       _      _  _       _      _   _    _
      | |  |  _| _| |_| |_  |_   | |_|  |_|
      |_|  | |_  _|   |  _| |_|  | |_|    |