A single bit comparator compares two numbers A and B and produces three outputs
Y₁ (if A = B), Y₂ (if A > B) and Y₃(if A < B) as given below:

A. Y₁ = A ⊙ B; Y₂ =AB̅; Y₃ =  A̅ B

B. Y₁ = A ⊕ B; Y₂ = AB; Y₃ = A̅ B̅

C. Y1 = A + B; Y₂ =A ⊕ B; Y₃ =A ⊙ B

D. Y1 = A̅ B̅ + AB; Y₂ = AB̅; Y₃ =A̅ B

Choose the correct answer from the options given below:

Concept:

A magnitude digital Comparator is a combinational circuit that compares two digital or binary numbers in order to find out whether one binary number is equal, less than or greater than the other binary number. We logically design a circuit for which we will have two inputs one for A and another for B and have three output terminals, one for A > B condition, one for A = B condition, and one for A < B condition.

Application:

1-Bit Magnitude Comparator:

A comparator used to compare two bits is called a single bit comparator. It consists of 2-inputs each for two single-bit numbers (0 or 1) and 3-outputs to generate less than, equal to and greater than between two binary numbers.

The truth table for a 1-bit comparator is given below:

Case 1:

A=B ⇒ Y1 =A̅ B̅ + AB= A ⊙ B 

Case 2:

A>B ⇒ Y2 =AB̅;

Case 3:

A < B ⇒ Y3 = A̅ B