Question

A digital combinational circuit takes 4 inputs A1, AO, B1, and BO and generate three outputs L, E, and G as following two bit comparison. Design and draw this combinational circuit

a) L = (A1, A0) < (B1, BO)
b)E> (A1, A0)--(B1, BO)
c)G-A1, A0) > (B1, BO)

Answer 1

The question involves designing a combinational circuit to compare two 2-bit binary numbers and producing outputs to signify if one is less than, equal to, or greater than the other. Logic gates like AND, OR, NOT, and XOR would be used to achieve the desired comparison outcomes.

Step-by-step explanation:

The student is tasked with designing a combinational circuit that compares two 2-bit binary numbers given by the inputs A1, A0, and B1, BO, and produces three outputs: L, E, and G. These outputs represent whether the first number is Less than (L), Equal to (E), or Greater than (G) the second number.

To create this circuit, logic gates must be used to construct a digital circuit that performs this comparison. The output L would be high when (A1, A0) is less than (B1, BO), E would be high when both numbers are equal, and G would be high when (A1, A0) is greater than (B1, BO). The detailed design will involve implementing a combination of AND, OR, NOT, and XOR gates to produce the correct logic for each output. For example, the E output can be obtained by checking the equivalence of both bit pairs using XOR gates, which outputs high only when the bits differ. Thus, to confirm equality, one would XOR each bit and then use a NOR gate to output high only if both XOR outputs are low, indicating no difference in both bit pairs, and therefore equality.