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Reviewing High Radix Signed Digit Adders
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Reviewing High-Radix Signed-Digit Adders

Category : VLSI


Sub Category : AREA EFFICIENT


Project Code : ITVL05


Project Abstract

               Higher radix values of the form b ¼ 2r have been employed traditionally for recoding of multipliers, and for determining quotient- and root-digits in iterative division and square root algorithms, usually only for quite moderate values of r, like 2 or 3. For fast additions, in particular for the accumulation of many terms, generally redundant representations are employed, most often binary carry-save or borrow-save, but in a number of publications it has been suggested to recode the addends into a higher radix. It is shown that there are no speed advantages in doing so if the radix is a power of 2, on the contrary, there are significant savings in using standard 4-to-2 adders, even saving half of the operations in multi-operand addition.

EXISTING SYSTEM

PROPOSED SYSTEM

EXISTING CONCEPT:

Recoding the multiplier into a radix higher than 2 (without possible of signed radix operands)is quite limited, due to the problem of generating multiplicand multiples

 

PROPOSED CONCEPT:           

In  the implementation of multiplication, by recoding the binary

multiplier into a higher radix b ¼ 2r, the number of multiplicand

multiples to be accumulated is reduced by a factor r

The advantage of recoding the multiplier into a radix higher than 4 is quite limited, due to the problem of generating multiplicand multiples

EXISTING TECHNIQUE:

         Carry addition  

PROPOSED TECHNIQUE:

         Carry free high radix addition

TECHNIQUE DEFINITION:

         Each functions are dependent on the carry that computed on previous addition.

TECHNIQUE DEFINITION:

In these algorithms and in many other, there is a need for repeated additions or subtractions. Traditionally, the redundant binary carry-save or borrow-save representations are being employed, allowing constant-time operations. Such additions are often denoted “carry-free additions”.

 

DRAWBACKS:

         Timing directives differs on each computation resulted in delayed resulted with error

         multi-operand addition the delay is significantly larger when using this recording into a radix

 

ADVANTAGES:

·         the logic of the adder array is identical

         Signed HIGH radix addition

          Ultra high speed

 

 

 


 
 
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