Design A Combinational Circuit That Multiplies Two 2 Bit 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.

Design a combinational circuit that multiplies two 2 bit numbers.

Homework equations the biggest product will be 3 3 9. Introduction to computer and logic design. Show a truth table and theequations book. To form the various product terms an array of and gates is used before the adder array.

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. Figure 1 below shows the block diagram of a 2 bit binary multiplier. Show a truth table and the equations. 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.

Similar approach is used to multiply two binary numbers. A binary multiplier is a combinational logic circuit or digital device used for multiplying two binary numbers. The two numbers a1a0 and b1b0 are multiplied together to produce a 4 bit. This array is used for the nearly simultaneous addition of the various product terms involved.

The two numbers are more specifically known as multiplicand and multiplier and the result is known as a product. The multiplicand multiplier can be of various bit size. Design a combinational circuit that compares two 4 bit numbers to check if they are equal. 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.

Show a truth table and the equations. A binary multiplier is a combinational logic circuit used in digital systems to perform the multiplication of two binary 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. 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. Hence the circuit obtained is as follows. Design a circuit to multiply two 2 bit numbers a b and c d and produce a 4 bit product w x y z. Four bits to represent the product.