Design A Combinational Circuit That Multiplies Two 2 Bit Numbers

Design a circuit to multiply two 2 bit numbers a b and c d and produce a 4 bit product w x y z.

Design a combinational circuit that multiplies two 2 bit numbers.

An array multiplier is a digital combinational circuit used for multiplying two binary numbers by employing an array of full adders and half adders. Similar approach is used to multiply two binary numbers. The multiplicand multiplier can be of various bit size. The circuit output is equal to 1 if the two numbers are e.

The two numbers a1a0 and b1b0 are multiplied together to produce a 4 bit. Four bits to represent the product. A binary multiplier is a combinational logic circuit used in digital systems to perform the multiplication of two binary numbers. A binary multiplier is a combinational logic circuit or digital device used for multiplying two binary numbers.

Figure 1 below shows the block diagram of a 2 bit binary multiplier. Long multiplicand is multiplied by 0 or 1 which is much easier than decimal multiplication as product by 0 or 1 is 0 or same number respectively. Introduction to computer and logic design. To form the various product terms an array of and gates is used before the adder array.

Design a combinational circuit that compares two 4 bit numbers to check if they are equal. Homework statement design a combinational circuit that multiplies two numbers together and outputs the result. Design a combinational circuit to multiply two 2 bit numbers a b and c d and produce a 4 bit product w x y z. Based on the above equation we can see that we need four and gates and two half adders to design the combinational circuit for the multiplier.

The two numbers are more specifically known as multiplicand and multiplier and the result is known as a product. These are most commonly used in various applications especially in the field of digital signal processing to perform the various algorithms. Show a truth table and theequations book. 1 answer to design a circuit to multiply two 2 bit numbers a b and c dand produce a 4 bit product w x y z.

Show a truth table and the equations. Hence the circuit obtained is as follows. The and gates will perform the multiplication and the half adders will add the partial product terms. 11 i need a 4 bit register for the outputs the attempt at a.