Design A Combinational Circuit That Multiplies Two 2 Bit Numbers

Introduction to computer and logic design.

Design a combinational circuit that multiplies two 2 bit numbers.

The multiplicand multiplier can be of various bit size. 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. The two numbers a1a0 and b1b0 are multiplied together to produce a 4 bit. A binary multiplier is a combinational logic circuit used in digital systems to perform the multiplication of two binary numbers.

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. An array multiplier is a digital combinational circuit used for multiplying two binary numbers by employing an array of full adders and half adders. 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. Design a combinational circuit that compares two 4 bit numbers to check if they are equal.

Figure 1 below shows the block diagram of a 2 bit binary multiplier. 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 circuit output is equal to 1 if the two numbers are e. Similar approach is used to multiply two binary numbers.

To form the various product terms an array of and gates is used before the adder array. Show a truth table and the equations. Hence the circuit obtained is as follows. 11 i need a 4 bit register for the outputs the attempt at a.

The and gates will perform the multiplication and the half adders will add the partial product terms. Show a truth table and theequations book. Homework equations the biggest product will be 3 3 9. A binary multiplier is a combinational logic circuit or digital device used for multiplying two binary numbers.

Four bits to represent the product. Show a truth table and the equations. These are most commonly used in various applications especially in the field of digital signal processing to perform the various algorithms. Design a circuit to multiply two 2 bit numbers a b and c d and produce a 4 bit product w x y z.