Question

Construct a circuit that computes the product of the two-bitintegers \({{\bf{(}}{{\bf{x}}_{\bf{1}}}{{\bf{x}}_{\bf{o}}}{\bf{)}}_{\bf{2}}}\)and\({{\bf{(}}{{\bf{y}}_{\bf{1}}}{{\bf{y}}_{\bf{o}}}{\bf{)}}_{\bf{2}}}\).The circuit should have four output bits for the bits in the product. Two gates that are often used in circuits are NAND and NOR gates. When NAND or NOR gates are used to represent circuits, no other types of gates are needed. The notation for these gates is as follows:

Short answer

The circuit is

Step-by-step solution

Defining of gates

There are three types of gates.

It is also called NOT gate.

Construct the circuit

The circuit can be constructed by input \({({x_1}{x_o})_2}\) and \({({y_1}{y_o})_2}\), whose product through the for bits, then the circuit is

Therefore, by the circuit get the require results.