elixir - Expected a truncated byte -

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when pass 2 size of bits follow:

iex(11)> <<2 :: size(2)>>

i've got output in iex(i determine size of bit) 

<<2::size(2)>>

but when write following in iex

iex(12)> <<3 :: size(2)>>

i've got 

<<3::size(2)>>

but expected

<<1::size(2)>>

and 4

iex(13)> <<4 :: size(2)>> <<0::size(2)>>

i've got 0 , right, 3 why i've got 3 instead 1?

size(2) means 2 bits, can hold 4 (2^2) values: 0, 1, 2 or 3.

it seems looking store 1 bit if expected 3 become 1. that, use size(1):

iex> <<3::size(1)>> <<1::size(1)>>

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