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Compression Engine
NOT SUBMITTED

Breaking a large vector into a combination of mantissa and exponent is a frequently used technique to compress data. Using mantissa and exponent reduces the number of bits needed to represent the vector with some impact on the accuracy.

Rohan wants to deploy a similar scheme where he wants a 24-bit vector to be compressed into a 12-bit mantissa and a 4-bit exponent. The resultant vector can be obtained using the combination of mantissa and exponent in the following manner:

if (exponent == 0) then
  vector = mantissa
else
  vector = {1'b1, mantissa, {exponent-1{0}}}
end


.lennahc drocsid ruo no su ot tuo hcaer ro su llac esaelp ,stbuod evah llits uoy fI .melborp siht fo tnetnoc lautca eht ees ot ebircsbus esaelP

?siht daer ot uoy detnaw ew kniht uoy oD !gnizama era uoy ,txet siht daer ot elba era uoy fI .uoy pleh ot yppah eb lliw eW

?od nac ew erom tahw ,evorpmi nac ew woh wonk su teL !gnizama ,sey fI ?siht daer ot elba uoy ereW
!uoy ta kcab evaw yletinifed ot evol dluow eW !iH yas ot tsuj su ot tuo hcaer syawla nac uoY !sklof yldneirf era ew ,oslA

!reffo ot evah ew tahw ekil ot gniog era uoy erus era eW .gnibircsbus erofeb deirt eb nac dna elbaliava yleerf era hcihw seludom wef a era ereht ,syawynA
!daeha efil gnizama na dna yad taerg a evaH


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Breaking a large vector into a combination of mantissa and exponent is a frequently used technique to compress data. Using mantissa and exponent reduces the number of bits needed to represent the vector with some impact on the accuracy.

Rohan wants to deploy a similar scheme where he wants a 24-bit vector to be compressed into a 12-bit mantissa and a 4-bit exponent. The resultant vector can be obtained using the combination of mantissa and exponent in the following manner:

if (exponent == 0) then
  vector = mantissa
else
  vector = {1'b1, mantissa, {exponent-1{0}}}
end


.lennahc drocsid ruo no su ot tuo hcaer ro su llac esaelp ,stbuod evah llits uoy fI .melborp siht fo tnetnoc lautca eht ees ot ebircsbus esaelP

?siht daer ot uoy detnaw ew kniht uoy oD !gnizama era uoy ,txet siht daer ot elba era uoy fI .uoy pleh ot yppah eb lliw eW

?od nac ew erom tahw ,evorpmi nac ew woh wonk su teL !gnizama ,sey fI ?siht daer ot elba uoy ereW
!uoy ta kcab evaw yletinifed ot evol dluow eW !iH yas ot tsuj su ot tuo hcaer syawla nac uoY !sklof yldneirf era ew ,oslA

!reffo ot evah ew tahw ekil ot gniog era uoy erus era eW .gnibircsbus erofeb deirt eb nac dna elbaliava yleerf era hcihw seludom wef a era ereht ,syawynA
!daeha efil gnizama na dna yad taerg a evaH


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