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Low power high_speed

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• 1. LOW POWER HIGH SPEED MULTIPLIERSSubmitted by: K.NAVYA (09C81AO456) B.BHANU PRASAD (09C81AO416) B.SUVARNA KUMARI(09C81AO426) A.GANDHI (09C81A0401)
• 2. INTRODUCTION Booth’s multiplication algorithm was invented by ANDREW BOOTH in 1951 This algorithm is particularly useful for machines that can shift bits faster than adding them. Another improvement in the multiplier is by reducing the number of partial products generated. It operates even with signed numbers
• 3. BRAUN ARRAY MULTIPLIER braun edward louis first proposed the braun multiplier in 1963. it is a simple parallel multiplier that is commonly known as the carry array multiplier. This is restricted to performing multiplication of two unsigned numbers. It consists of an array of and gates and adders arranged in an iterative structure that does not require logic registers. This is also known as the non-additive multiplier since it does not add an additional operand to the result of the multiplication.
• 4. ARCHITECTURE OF BRAUN MULTIPLIER
• 5.  An n*n –bit braun multiplier requires n(n-1) adders and n2 and gates . The internal structure of the full adder used in the braun multiplier makes braun multipliers ideal for very large scale integration (vlsi) and application specific integrated circuit (asic) realization. each of the xiyj product bits is generated in parallel with the and gates. Each partial product can be added to the previous sum of partial products by using adders. The carry out signals are shifted one bit to the left and are then added to the sums of the first adder and the new partial product.
• 6. GENERAL MULTIPLICATION
• 7. PERFORMANCE : The braun multiplier performs well for unsigned operands that are less than 16 bits, in terms of speed, power and area. Besides, it has a simple and regular structure as compared to the other multiplier schemes. How ever, the number of components required in building the braun multiplier increases quadratically with the number of bits. This makes the braun multiplier inefficient and so it is rarely employed while handling large operands.
• 8. SPEED CONSIDERATION: The delay of the braun multiplier i is dependent on the delay of the full adder cell and also on the final adder in the last row. In the multiplier array, a full adder with balanced carry and sum delays is desirable because the sum and carry signals are both in the critical path. The speed and power of the full adder is very important for large arrays.
• 9. BOOTH’S MULTIPLIER A multiplier has two stages. In the first stage, the partial products are generated by the booth encoder and the partial product generator (ppg), and are summed by compressors. In the second stage, the two final products are added to form the final product through a final adder.
• 10. BLOCK DIAGRAM
• 11. TRUTH TABLE
• 12. BOOTH’S MULTIPLICATION
• 13. OPERATION OF BOOTHMULTIPLIER The booth encoder was implemented using two xor gates and the selector using 3muxes and an inverter careful optimization of the partial-product generation can lead to some substantial delay and hardware reduction. [8] in the normal 8*8 multiplication 8 partial products need to be generated and accumulated. For accumulation seven adders to reduce power are required but in the case of booth
• 14. SIMULATION OF BRAUN MULTIPLIER
• 15. SIMULATION OF BOOTH MULTIPLIER
• 16. ADVANTAGES Booth multiplier operates with high speed It has low complexity Low power consumption It has less access time
• 17. APPLICATIONS: It is arithmetic operation for dsp applications. Such as ‘filtering ‘, and for fourier transforms. To achieve high execution speed, parallel array multipliers are widely used . These multipliers tend to consume most of power in dsp computions
• 18. COMPARISON:ARRAY MULTIPLIER BOOTH S MULTIPLIER1.Total power consumption is 1.Total power consumption is267mW. 263mW.2.Time period is 13.553 nsec. 2.Time period is 2.52 nsec.3.It has more complexity. 3.It has less complexity.
• 19. SUMMARY ANDCONCLUSION the braun array multiplier and booth multiplier was implemented using vhdl and the results are verified for the braun and booth multipliers.