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{{title|Flexpoint}}
 
{{title|Flexpoint}}
'''Flexpoint''' is a compact [[number encoding format]] developed by [[Intel]]'s [[Nervana]] used to represent standard [[floating point]] values. Flexpoint combines the advantages of [[fixed point]] and [[floating point]] by splitting up the [[mantissa]] and the exponent part which is shared across all arithmetic execution elements. By only passing the integer value, both memory and bandwidth requirements are reduced. Additionally, this lowers hardware complexity, lowering both power and area requirements.
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'''Flexpoint''' is a compact [[number format]] developed by [[Intel]]'s [[Nervana]] used to represent standard [[floating point]] values. Flexpoint combines the advantages of [[fixed point]] and [[floating point]] by splitting up the [[mantissa]] and the exponent part which is shared across all arithmetic execution elements. By only passing the integer value, both memory and bandwidth requirements are reduced. Additionally, this lowers hardware complexity, lowering both power and area requirements.
  
 
== Overview ==
 
== Overview ==
 
Flexpoint was initially proposed by [[Intel]]'s [[Nervana]] for their [[neural processor]] in [[2017]]. Flexpoint splits up a [[floating point]] value into its two fundamental components: [[mantissa]] and [[exponent]]. An ''N''-bit [[mantissa]] and ''M''-bit exponent is represented as <code>flexN+M</code>, for example <code>flex32+8</code> refers to a flexpoint value with 8-bit exponent and a 32-bit mantissa.
 
Flexpoint was initially proposed by [[Intel]]'s [[Nervana]] for their [[neural processor]] in [[2017]]. Flexpoint splits up a [[floating point]] value into its two fundamental components: [[mantissa]] and [[exponent]]. An ''N''-bit [[mantissa]] and ''M''-bit exponent is represented as <code>flexN+M</code>, for example <code>flex32+8</code> refers to a flexpoint value with 8-bit exponent and a 32-bit mantissa.
  
Unlike standard [[IEEE 754]] floating point-based values, the ''M''-bit exponent is not propagated down as part of the value in flexpoint. Instead, the exponent is shared across all the applicable execution units. Note that this is different from a [[fixed point]] because the exponent in flexpoint can be updated automatically.
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Unlike standard [[IEEE 754]] floating point-based values, the ''M''-bit exponent is not propagated down as part of the value in flexpoint. Instead, the exponent is shared across all the applicable execution units. Note that this is different from a [[fixed point]] because the exponent in flexpoint can updated automatically.
  
The premise behind the format is the reduction of memory and bandwidth. Additionally, since the exponent is identical across all the relevant compute elements, operations such as addition and multiplication can be done as a fixed point operation.
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The premise behind the format is reduction of memory and bandwidth. Additionally, since the exponent is identical across all the relevant compute elements, operations such as additional and multiplication can be done as a fixed point operation.
  
 
[[File:flexpoint format.svg|700px]]
 
[[File:flexpoint format.svg|700px]]

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