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A full subtractor can be built using two "Half Subtractor" devices and an OR gate. Design...

  1. A full subtractor can be built using two "Half Subtractor" devices and an OR gate.
    Design and test a full subtractor (schematic diagram and truth table shown below).
    Write the expressions of the difference and the borrow beside the circuit.

    Input

    Output

    x

    y

    bi

    bi+1

    d

    0

    0

    0

    0

    0

    0

    0

    1

    1

    1

    0

    1

    0

    1

    1

    0

    1

    1

    1

    0

    1

    0

    0

    0

    1

    1

    0

    1

    0

    0

    1

    1

    0

    0

    0

    1

    1

    1

    1

    1

    Hand-In

    • The full subtractor circuit using two "Half Subtractor" devices and an OR gate
    • Boolean functions for Difference and Borrow
  2. Show that a full subtractor can be implemented using a "Full Adder" device and two inverter gates.
    For this, you will have to create a "Full Adder" device (Note: you can use the idea of what you built in question 2)
    Build and test your circuit with the truth table.
    Write the expressions of the difference and the borrow beside the circuit.

    Hand-In

    • The underlying circuit of the "Full Adder " device. (Circuit with labeled ports--Part 1 in the notes)
    • The testing circuit of the "Full Adder" device (the box) with binary switches and binary probes connected to it
    • The full subtractor circuit using "Full Adder " device and two NOT gates
    • Boolean functions for Difference and Borrow (a little different from question 5 because of the inverters)
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