A two-bit magnitude comparator is to be built to compare two words, word A and word B.

Question

Word A consists of two bits A1 and A0, A1 being the more significant bit. Similarly word B consists of two bits B1 and B0 and again B1 is the more significant bit.
a) Design a truth table for the logic circuit that gives an output logic value ‘1’ whenever the magnitude of A is greater than or equal to the magnitude of B.
b) Using Karnaugh map techniques, minimise the truth table.
c) Hence obtain the resultant minimum Boolean function in terms of A1, A0, B1 and B0.

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