Full Subtractor

 Full Subtractor

-- Full subtractor can perform binary subtraction between three binary bits X, Y, and Z. Where is X is minuend and Y is subtrahend and Z is the previous borrow out.

-- It consists of two outputs. They are Difference (D) and borrow in (Bin)

task to be done: X-Y-Z


fig: Truth table


fig: Logical Diagram

Boolean expressions:

    Difference (D) = X'Y'Z + X'YZ' + XY'Z' + XYZ
    Borrow in (Bin) = X'Y'Z + X'YZ' + X'YZ +XYZ






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