Han Carlson Adder(Professor Han invented Han Carlson adder in part of his Ph. D. dissertation). currently widely used in Intel Pentium Micro. Download scientific diagram | (a) Han-Carlson (HC) adder; from publication: Power-aware Design of Logarithmic Prefix Adders in Sub-threshold Regime: A. Key Words – Parallel Prefix Adders, Han-Carlson Adder, area, prefix computation, Power Consumption, delay. 1. Introduction. VLSI binary adders are critically.

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Figure 6 is the parallel prefix graph of a Kogge-Stone adder.

### Hardware algorithms for arithmetic modules

This signal can be used to allow an incoming carry to skip all the stages within the block and generate a block-carry-out. There are many possible choices for the multiplier structure for a specific coefficient R.

A 7,3 counter tree is based on 7,3 counters. Figure 2 shows the parallel prefix graph of a bit RCLA, where the symbol solid circle indicates an extension of the hn carry operator described at Parallel prefix adders.

The n-operand array consists of n-2 carry-save adder. The structure crlson illustrates a typical situation, where the MAC is used to perform a multiply-add operation in an iterative fashion. Figure 16 shows an operand Wallace tree, where CSA indicates a carry-save adder having three multi-bit inputs and two multi-bit outputs.

A block carry look-ahead adder BCLA is based on the above idea. Another way to design a practical carry look-ahead adder is to reverse the basic design principle of the RCLA, that is, to ripple carries within blocks but to generate carries between blocks by look-ahead. This adder has a hybrid design combining stages from the Brent-Kung and Kogge-Stone adder. This adder is the extreme case of maximum logic depth and minimum area.

The most straightforward implementation of a final stage adder for two n-bit operands is a ripple carry adder, which requires n full adders FAs. The PPA stage then performs multi-operand addition for all the generated partial products and produces their sum in carry-save form.

### Hybrid Han-Carlson adder – Semantic Scholar

The equation can be interpreted as stating that there is a carry either if one is generated at that stage or if one is propagated from the preceding stage. Hab fundamental carry operator is represented as Figure 4. Partial products are generated with Radix-4 modified Booth recoding. Balanced delay tree requires the smallest number of wiring tracks but has the highest overall delay compared with the Wallace tree and the overturned-stairs tree.

## Hybrid Han-Carlson adder

Array is a straightforward way to accumulate partial products using a number of adders. This process can, in principle, be continued until a group of added 1 is reached.

The carry-skip adder is usually comparable in speed to the carry look-ahead technique, but it requires less chip area and consumes less power. The adder structure is divided into blocks of consecutive stages with a simple ripple-carry scheme.

Given the matrix of partial product bits, the number of bits in each column is reduced to minimize the number of 3,2 and 2,2 counters. This reduces the ripple-carry delay through these blocks. Figure 14 compares the delay information of true paths and that of false paths in the case of Hitachi 0.

## Hardware algorithms for arithmetic modules

Figure 5 is the parallel prefix graph of a Ladner-Fischer adder. A ripple-block carry look-ahead adder RCLA consists of N m-bit blocks arranged in such a way that carries within blocks are generated by carry look-ahead but carries between blocks are rippled. Figure 18 shows an operand overturned-stairs tree, where CSA hxn a carry-save adder having three multi-bit inputs and two multi-bit outputs.

Dadda tree is based on 3,2 counters. The Booth caglson of the multiplier reduces the number of partial products and hence has a possibility of reducing the amount of hardware involved and the execution time. The block size m is fixed to 4 in the generator. The idea of the ripple-block carry look-ahead addition is to lessen the fan-in and fan-out difficulties inherent in carry look-ahead adders.

Figure 13 shows a bit carry-skip adder consisting of seven variable-size blocks. Figure 3 shows the parallel prefix graph of a bit BCLA, where the symbol solid circle indicates an extension of the fundamental carry operator described at Parallel prefix adders. Figure 15 shows an array for operand, producing 2 outputs, where CSA indicates a carry-save adder having three multi-bit inputs and two multi-bit outputs. Figure 19 shows an operand 4;2 compressor tree, where 4;2 indicates a carry-save adder having four multi-bit inputs and two multi-bit outputs.

Figure 1 shows a ripple carry adder for n-bit operands, producing n-bit sum outputs and a carry out.