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Bits[Join] - join a list of digits into a number
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Calling Sequence
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Join(digits)
Join(digits, sbits)
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Parameters
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digits
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a list of base 2^sbits positive digits
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sbits
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-
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positive integer number of bits to join on
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Description
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The Join command joins the input list of integers, least significant first, into a number base 2^sbits (sbits defaults to 1), using only the first sbits bits of each digit.
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The most common usage of this command would be for conversion of a list of bits to a number.
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The reverse operation, converting the number to digits, is accomplished using the Split command.
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Examples
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Convert from binary
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![Join([1, 1, 1, 1, 1, 1, 1, 1])](/support/helpjp/helpview.aspx?si=8959/file01177/math84.png)
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| (1) |
Higher bits are ignored
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![Join([3, 3, 3, 3, 3, 3, 3, 3])](/support/helpjp/helpview.aspx?si=8959/file01177/math93.png)
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| (2) |
Convert from base-4 - 2 bits
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![Join([3, 3, 3, 3, 3, 3, 3, 3], 2)](/support/helpjp/helpview.aspx?si=8959/file01177/math102.png)
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To number, then back to bits
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![Join([0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1])](/support/helpjp/helpview.aspx?si=8959/file01177/math111.png)
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| (4) |
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![[0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1]](/support/helpjp/helpview.aspx?si=8959/file01177/math121.png)
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