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Fair Value of Assets and Liabilities (Details) (Available-For-Sale Securities [Member], USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
U.S. Treasury and Government Agencies [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring $ 15,071us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
$ 15,307us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
Mortgage-backed securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 59,827us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
50,740us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
State and political subdivisions [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 19,135us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
19,170us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
Equity securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 23us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
23us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
Interest Rate Contracts Assets [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 502us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsAssetsMember
273us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsAssetsMember
Interest Rate Contracts Liabilities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring (502)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsLiabilitiesMember
(273)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsLiabilitiesMember
Level 1 [Member] | U.S. Treasury and Government Agencies [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Mortgage-backed securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | State and political subdivisions [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Equity securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Interest Rate Contracts Assets [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Interest Rate Contracts Liabilities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 2 [Member] | U.S. Treasury and Government Agencies [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 15,071us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
15,307us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
Level 2 [Member] | Mortgage-backed securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 59,827us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
50,740us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
Level 2 [Member] | State and political subdivisions [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 19,135us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
19,170us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
Level 2 [Member] | Equity securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 23us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
23us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
Level 2 [Member] | Interest Rate Contracts Assets [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring 502us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsAssetsMember
273us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsAssetsMember
Level 2 [Member] | Interest Rate Contracts Liabilities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring (502)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsLiabilitiesMember
(273)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractsLiabilitiesMember
Level 3 [Member] | U.S. Treasury and Government Agencies [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Mortgage-backed securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | State and political subdivisions [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Equity securities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Interest Rate Contracts Assets [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Interest Rate Contracts Liabilities [Member]
   
Summary of fair value measurements of assets measured at fair value on a recurring basis    
Assets, Fair value, Recurring