Which type of logic gate is commonly used in the design of a magnitude comparator?a.OR gateb.NAND gatec.AND gated.XOR gate

The type of logic gate that is commonly used in the design of a magnitude comparator is the XOR gate.

Here's why:

A magnitude comparator is a combinational circuit that compares two numbers, A and B, and determines their relative magnitudes. The outcome of the comparison is specified by three binary variables, which express the relationships "A greater than B", "A equals B", and "A less than B".

The XOR (exclusive OR) gate is particularly useful in the design of a magnitude comparator because it can effectively determine whether two binary digits are the same or not.

If A and B are the two binary numbers being compared, the XOR gate will output a '1' if A and B are different (i.e., one is a '1' and the other is a '0'), and a '0' if A and B are the same (i.e., both '0' or both '1').

This property makes the XOR gate ideal for the "A equals B" part of the magnitude comparator, as it can quickly and easily determine whether the two numbers are equal or not.

So, the answer is d. XOR gate.