(B) If a notice of appeal is filed pursuant to the Rules of Appellate Procedure or Chapter 1905. of the Revised Code by a defendant who is convicted in a municipal, county, or mayor's court or a court of common pleas of a misdemeanor under the Revised Code or an ordinance of a municipal corporation, if that defendant was on bail at the time of the conviction of that offense, and if execution of the sentence or judgment imposed is suspended, the trial court or magistrate or the court in which the appeal is being prosecuted shall determine the amount and nature of any bail that is required of the defendant as follows:

1. (1) In the case of an appeal to a court of appeals by a defendant who is convicted in a municipal or county court or a court of common pleas, in accordance with Appellate Rule 8 and Criminal Rule 46;
2. (2) In the case of an appeal to a municipal or county court by a defendant who is convicted in a mayor's court, in accordance with Criminal Rule 46.