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Why 'Bit serial adds eliminate need for carry chain'? Multiplication is done by means of a set of additions and shift operations. Every result of an addition is used as an input the the next addition (which is called an accumulation), and the other input is the multiplier shifted by one bit. Standard binary multiplication A*B, where B=2^n-1*b_n-i +. + 2^1*b_1+2^0*b_0 is done by mean of the following algorithm Res. Serial multiplier (that actually is not Booth as described) uses n full-adders and performs the computation in n clock cycles. Carry save array mult uses n*n full adders and performs the mult in one (long) cycle.

Somehow it is an unrolled version of the serial multiplier. In the array multiplier, there is carry propagation between layers, but the carry save structure reduces the propagation time from n*n to n. And in the serial multiplier there is no carry propagation, but several cycles are required.

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