Design of a high speed multiplier

Sakunthala Technical University, Chennai3.

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The pnp and npn transistors can be natural to the technology, or parasitic devices. Because the luxury bus is commercially viable read "sustainable"service can readily be added and funded by passengers.

BeforeCPU design was often done for this market, but mass market CPUs organized into large clusters have proven to be more affordable. This implementation is represented by the produce the sum of the three inputs. Proposed Method In the proposed method, both Nikhilam sutra and Karatsuba algorithm are combined.

To take full advantage of this reduction, it should be ensured that the numbers obtained after taking the complements are lesser than the original numbers.

As a result of the feedback between the two transistors, there exist stable and unstable regions in the I—V characteristic.

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Reducing the time delay is very essential requirement for many applications and Vedic Multiplication technique is very much suitable for this purpose. Highspeed multiplication and exponential operations require large booth adder arrays having large partial sum and partial carry registers [3].

With three n - bit numbers ai, bi, and ci given to it, it produces Now, the complemented output of multiplier -a and the a partial sum psi and a shift-carry sci according to the below complemented multiplicand -b are then produced.

Let A and B are the numbers and they can be written using Karatsuba algorithm as, 4 The remainders are derived using Nikhilam Sutra in such a manner that the number of bits for remainder is always N The idea proposed here may set path for future research in this direction [5].

Lohegaon, Pune, Maharashtra, India, for her guidance and support. The weight of remainder is reduced. Firstly, the LSB digits on the both sides of the line has multiplied and added with the carry from the earlier step.

In [14]the Vedic multiplier is designed using modified Carry Select adder. The output of each row of adders acts as input to the next row of adders. For each inverter gate, there are corresponding pnp and npn parasitic bipolar elements.

In this figure a3, a2, a1, a0 is multiplicand and b3, b2, b1, b0 is multiplier. Karatsuba Algorithm The Karatsuba algorithm is suited well for multiplying very large numbers. The Urdhava multiplier is designed using standard cell approach.

The state of Iowa is being asked to provide funds to match federal funding for a so-called "high speed rail" line from Chicago to Iowa City. The Vedic Math has a of the important arithmetic functions implemented by the much ancient origin though attributed to the techniques multiplier in the DSPs are Multiply and Accumulate MACrediscovered betweenby Sri Bharati Krshna inner product.

Even though there is a deviation in lower order bits, this method shows larger difference in higher bit lengths.

The RHS of the product can be obtained by the multiplication of complimented outputs of multiplier and multiplicand and the LHS of the product can be obtained by addition using a CSA.

The speed of the computation process is increased and the processing time is reduced due to decrease of combinational path delay compared to the existing multipliers. This is obtained cascading several inverters the most elementary CMOS gate with increasing channel width, so that the first has the required input capacitance and the last has the required driving strength.

But most of the buffer configurations require a significant amount of silicon area for improvement in the signal propagation delay. When these parasitic pnpn elements undergo a high-current state, latch up can initiate thermal runaway and can be destructive [4].

The multiplier based on this sutra is known as Vedic multiplier. Each partial product bit is fed into a full adder which sums the partial product bit with the sum from the previous adder and a Each row of full adders or 3: The thought here is to begin concept, which results in the generation of all partial products along with the concurrent addition of these partial products in parallel.

For many embedded applications, interrupt latency will be more critical than in some general-purpose processors. The architecture of Multipliers has generally classified into three categories. This interaction between a three-region PNP and a three-region npn that share base and collector regions can be viewed as a four-region pnpn device [1—3].

For about a decade, every student taking the 6. So without degrading the MOSFET performance, a heavily doped n-well will be fabricated underneath the low doped n-well by ion implantation, this process is known as retrograde n-well and it also eliminates the subsurface punch through which normally occurs in low-doped well.

Section 3 gives the introduction of latch up in CMOS. high speed booth encoded multiplier Two’s complement multipliers of moderate bit-width (less than 32 bits) are also being used massively in FPGAs. This is used in the design of high performance short or moderate bit-width two’s complement multipliers.

the design of a multiplier in which we can multiply two numbers with different size. So there is no need to design various multipliers to perform multiplication. One multiplier is sufficient.

Also this multiplier provides the high speed during multiplication. Experimental Details In order to design the multiplier containing different. Study Of Hardware Design Of High Speed Modular Multiplier Yamini Banjare1, Vishal Moyal2 two design of modular multiplier.

This paperrequired area and there consumed power. This paper shows the study about the various parameters of implementing the high speed computing modular multiplier.

Introduction Finite field multiplication is a. The basic element of a multiplier design is the adder cell, which significantly affects the overall performance characteristics of a multiplier. The recent advancements in CMOS technology indicate a strong need for high speed, high density, low power, low cost multiplier design for ubiquitous use in majority of leading-edge commercial applications.

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Vedic multiplier consumes more power than convention ones. In [5], the multiplier based on Nikhilam sutra was presented with modification in 2’s complement block and multiplication block.

7-bit encoding technique is em-ployed in the design of multiple radix multipliers. The high speed 32 × 32 bit Vedic multiplier was presented in [6].

Design of a high speed multiplier
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