Auto-generate table or list from other data

Hello,
I'm trying to figure out how to get Numbers (if it can) to generate and display a list. I'm not sure how to explain it well, so let me just give you an example.
I have a table that looks like this:
A 0
B 1
C 0
D 0
E 1
F 1
Where A through F are strings, and the 0 and 1s are determined by a formula based on other data in the spreadsheet. The point of the second column is to indicate if the corresponding item in the first column is "available" and can be chosen by the user, 1 meaning yes, 0 meaning no. So, for the example, all the requirements for "E" are met, and it can be chosen by the user; not so for "A." There are about 200 rows of data, so I'd rather have a formula or function than do it all manually.
I would like all the items (and only those items) in the first column that are available (as indicated by the second column) to be displayed in a table on a different sheet that the user is expected to interface with.
Hence, ideally that table would look like this:
B
E
F
and not like this:
(blank)
B
(blank)
(blank)
E
F
The goal is to then allow the user to select some or all of those available options (using check boxes in the next column). For what its worth, there's actually already a column before the string column that is a simple enumeration of rows; it's occurred to me that multiplying the "available" column by the enumeration will give a unique number for each available option and the same number, 0, for each unavailable option.
I really appreciate any advice you could give me!
Thanks!

Tstedman,
You have to remember that checkboxes are just a pretty way of stating TRUE or FALSE. There is no mechanism other than to click on them to change them. They are not controlled by formula.
Knowing nothing about how you are using the checkbox in you tables, the following is offered as a possible workaround. In this scenario you may change the checkbox setting in table 1 and the change will be reflected in Table 2. But the down side is that the reverse will not work and that a check "mark",not a check "box", appears in Table 2. Column B of Table 2 contains the formula:
=IF(ISBLANK(A2),"",IF(LOOKUP(ROW()-1,Table 1 :: C,Table 1 :: D),"√",""))
If this works for you, Great! If not, others may come up with a different workaround. The checkbox can be useful in cases where formulas in other cells refer to it ... but, it cannot refer to other cells.
pw

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