![]() ![]() The least significant bit (LSB) of the 1st partial product is not added to the next partial product because it is taken as an LSB of the final binary product output obtained.įrom the above logical circuit, one 3-bit full adder is used to add the first 2 partial products together and the other 3-bit full adder adds the 3rd partial product with the sum of the first adder. The circuit is designed with 3-bit full adders to add the 3 partial product terms. This method is very simple when compared to other methods. Hence 2 carry bits are obtained and carried over for the addition of A2B1 and A1B2 and the 2 more carry bits are generated in the same way. By the addition of the sum obtained from that, the carry bit is obtained from the addition of A0B1 and A0B2 to A1B0, which can raise another carry bit. ![]() The carry bit is raised when A2B0 and A1B1 are added together. Consider the logical circuit design of the 3-bit multiplier using 3-bit full adders as shown in the figure below. This 3×3 multiplier can be implemented using a 3-bit full adder and individual single-bit adders. The 3 partial product terms are obtained in the binary multiplication because it is a 3-bit multiplier. The bit size of the resultant output binary product is 6.Ĭonsider the multiplicand A0 A1, A2 and the multiplier B0, B1, B2, and the final binary product output as P0, P1, P2. 3×3 Binary MultiplierĪ 3×3 binary multiplier is one of the combinational logic circuits, which can perform binary multiplication of two binary numbers having a bit size of a maximum of 3 bits. – 4-bit binary multiplier using 4-bit full adders. – 3-bit binary multiplier using single-bit adders.ģ) 4×4 binary multiplier or 4-bit multiplier. – 3-bit binary multiplier using 3-bit full adders. – 2-bit multiplier using individual single-bit adders.Ģ) 3×3 binary multiplier or 3-bit binary multiplier. – 2-bit multiplier using 2-bit full adder. The following are the binary multiplier types.ġ) 2×2 Binary multiplier or 2-bit multiplier. The binary multiplier truth table is given below. The binary product of one and one is one Truth Table Rule 4: 1 × 1 = 1 ( Carry or borrow in not applicable) ![]() The binary product of one and zero is zero. ![]()
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