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Disclosures About Fair Value of Assets and Liabilities (Details 1) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Impaired loans [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring $ 2,538us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
$ 3,540us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
Impaired loans [Member] | Level 1 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Impaired loans [Member] | Level 2 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Impaired loans [Member] | Level 3 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring 2,538us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
3,540us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Mortgage Servicing Rights [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring 3,037us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
2,029us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
Mortgage Servicing Rights [Member] | Level 1 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Mortgage Servicing Rights [Member] | Level 2 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring      
Mortgage Servicing Rights [Member] | Level 3 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring 3,037us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
2,029us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_MortgageServicingRightsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Foreclosed Assets [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring   45us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ForeclosedAssetsMember
Foreclosed Assets [Member] | Level 1 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring     
Foreclosed Assets [Member] | Level 2 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring     
Foreclosed Assets [Member] | Level 3 [Member]    
Fair value measurements of assets measured at fair value on a non-recurring basis    
Assets, Fair value, Nonrecurring   $ 45us-gaap_AssetsFairValueDisclosureNonrecurring
/ us-gaap_BalanceSheetLocationAxis
= rbnf_ForeclosedAssetsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member