How many AND gates are required to construct a 4 – bit parallel multiplier if four 4 – bit parallel binary adders are given?

To construct a 4-bit parallel multiplier using four 4-bit parallel binary adders, we need to understand the basic structure of a binary multiplier.

A binary multiplier multiplies two binary numbers. The basic building block of a binary multiplier is the AND gate, which is used to multiply the individual bits.

A 4-bit multiplier will have 4 stages, and each stage will require 4 AND gates (one for each bit). Therefore, for a 4-bit multiplier, we will need 4*4 = 16 AND gates.

However, if we are given four 4-bit parallel binary adders, we can use them to add the partial products in each stage. This means we do not need additional AND gates for the addition operation.

So, the total number of AND gates required to construct a 4-bit parallel multiplier using four 4-bit parallel binary adders is 16.