Question

If the input of 4 bit magnitude comparator is 1011 then what is the output

Answer 1

comparator needs another 4 bit word to compare to. However lets say if the other one is B and this is A i.e A - 1011

then we calculate it as follows:

A= B : A3=B3, A2=B2, A1=B1, A0=B0

xi = AiBi + Ai’Bi’

XOR-Invert = (AiBi’+Ai’Bi)’

= (Ai’+Bi)(Ai+Bi’)

= Ai’Ai + Ai’Bi’ + AiBi + BiBi’

= AiBi + Ai’Bi’

Output: x3x2x1x0