Mishnayos Challah Perek 4 Mishnah 6
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חלה פרק ד׳ משנה ו׳
A man may take the requisite amount for hallah out of [clean] dough from which hallah has not [previously] been removed in order to remove it in a state of cleanness in order to go on separating [hallah] from it for [unclean] demai, until it becomes putrid, since hallah for demai may be taken from clean [dough] for unclean [dough], and from [one dough for another dough] which is not in close proximity.
נוֹטֵל אָדָם כְּדֵי חַלָּה מֵעִסָּה שֶׁלֹּא הוּרְמָה חַלָּתָהּ, לַעֲשׂוֹתָה בְּטָהֳרָה, לִהְיוֹת מַפְרִישׁ עָלֶיהָ וְהוֹלֵךְ חַלַּת דְּמַאי עַד שֶׁתִּסָּרֵחַ. שֶׁחַלַּת דְּמַאי נִטֶּלֶת מִן הַטָּהוֹר עַל הַטָּמֵא, וְשֶׁלֹּא מִן הַמֻּקָּף:
Bartenura
נוטל אדם כדי חלה וכו׳ הרוצה ללוש כמה עיסות של דמאי טמא, יכול לקבוע חלתן מעיסה טהורה שלא הורמה חלתה ושתהיה זאת העיסה הטהורה קבועה לחלה על כל עיסות שילוש מן הדמאי הטמא:
עד שתסרח. עיסה זו ולא תהיה ראויה למאכל אדם, שבדמאי הקילו לתרום מן הטהור על הטמא ושלא מן המוקף, והקילו נמי לתרום מן הרע על היפה. וחלת דמאי היינו הלוקח תבואה מעם הארץ ומאכילה לעניים ולאכסניא, כדתנן מאכילין את העניים דמאי ואת האכסניא דמאי. וחלה שמפרישים ממנה היא חלת דמאי:
נוטל אדם כדי חלה – [A person] who wishes to knead a few batches of dough of impure doubtfully-tithed [dough -for Hallah], he can establish their Hallah from pure dough whose Hallah had not yet been dedicated, and that it will be this particularly batch of ritually pure dough that will be established for Hallah on all the dough that he will need from the ritually impure doubtfully-tithed [dough- for Hallah].
עד שתסרח – this particular batch of dough and that it won’t be appropriate for human consumption, for regarding doubtfully tithed produce, the Rabbis were lenient [to permit] dedication from something pure [to fulfill the liability] on that which is impure and from that which is not nearby. And they (i.e., the Rabbis) were also lenient to dedicate from that which was of poor quality [to fulfill the liability] on something that was good, and the Hallah of doubtfully-tithed [dough] is that grai which a person buys from an ignoramus who feeds it to the poor and to troops on the march, as it is taught in the Mishnah (Tractate Demai, Chapter 3, Mishnah 1): “We feed the poor Demai produce and the .troops on the march Demai produce.” But the Hallah that we separate from it is Hallah of doubtfully-tithed dough.