Q9Digital Electronics

A Full Subtractor mechanically processes three inputs: Minuend ($A$), Subtrahend ($B$), and Borrow-In ($B_{in}$). The rigorous Boolean equation governing the Difference output is $D=A\oplus B\oplus B_{in}$. The complex equation governing the generated Borrow-Out is $B_{out}=A^{\prime }B+A^{\prime }{B}_{in}+B{B}_{in}$.