Design A Combinational Circuit That Multiplies Two 2 Bit Numbers

Homework statement design a combinational circuit that multiplies two numbers together and outputs the result.

Design a combinational circuit that multiplies two 2 bit numbers.

The circuit output is equal to 1 if the two numbers are e. 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. To form the various product terms an array of and gates is used before the adder array.

Similar approach is used to multiply two binary 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 compares two 4 bit numbers to check if they are equal. The and gates will perform the multiplication and the half adders will add the partial product terms.

A binary multiplier is a combinational logic circuit used in digital systems to perform the multiplication of two binary numbers. Four bits to represent the product. 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. The two numbers are more specifically known as multiplicand and multiplier and the result is known as a product.

This array is used for the nearly simultaneous addition of the various product terms involved. Show a truth table and theequations book. 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. Introduction to computer and logic design.

These are most commonly used in various applications especially in the field of digital signal processing to perform the various algorithms. Hence the circuit obtained is as follows. The two numbers a1a0 and b1b0 are multiplied together to produce a 4 bit. Figure 1 below shows the block diagram of a 2 bit binary multiplier.

Show a truth table and the equations. 11 i need a 4 bit register for the outputs the attempt at a. 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.