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# 8C. Representations

`d0=: >:@<.@^.` | Length to represent y in base x
`d1=: d0 # [` | Base to represent integer y in base x
`d2=: d1 #:]` | Base x rep of decimal integer y
`m3=: #:@i.@>:` | Binary reps of integers from 0 to y
`m4=: 10"_ d2 ]` | Base 10 rep of decimal integer y
`m5=: 16"_ d2 ]` | Base 16 rep of decimal integer y
`d6=: (>:@<.@^. # [) #: ]` | Base x rep of decimal integer y
`d7=: ] #:~ >:@<.@^. # [` | Base x rep of decimal integer y
`m8=: 100"_ d2 ]` | Base 100 rep of decimal integer y
`m9=: 0 1&#:` | Whole and fractional parts of y
`m10=: 10 100 1000"_ #: ]` | Mixed base 10 ^ 1 2 3 rep of y
`m11=: #.` | Integer from Boolean list y
`m12=: <.@(10&^.)@(('.'&~: # ]) &.": % ])` | Number of decimal places in y
`m14=: ]&__` | Negative infinity
`m15=: _:` | Positive infinity
`a16=: (&#.) (^:_1)` | Base x rep of decimal integer y
`m17=: [: (%"1 [: ,:~ +./) ,:&1` | Fraction equivalent to y

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