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Disclosures About Fair Value of Assets and Liabilities (Details) (Available-For-Sale Securities [Member], USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
U.S. Treasury and Government agencies [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring $ 15,307us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
$ 11,300us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
Mortgage-backed securities [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 50,740us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
57,223us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
State and political subdivisions [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 19,170us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
18,155us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
Money Market Mutual Fund [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring   3,092us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MoneyMarketFundsMember
Equity securities [Member]
   
Fair value measurements of securities 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 Contract Asset [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 273us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractAssetMember
257us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractAssetMember
Interest Rate Contract Liabilities [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring (273)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractLiabilitiesMember
(257)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractLiabilitiesMember
Level 1 [Member] | U.S. Treasury and Government agencies [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Mortgage-backed securities [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | State and political subdivisions [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 1 [Member] | Money Market Mutual Fund [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring   3,092us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MoneyMarketFundsMember
Level 2 [Member] | U.S. Treasury and Government agencies [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 15,307us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USTreasuryAndGovernmentMember
11,300us-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]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 50,740us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_MortgageBackedSecuritiesMember
57,223us-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]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 19,170us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
18,155us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_USStatesAndPoliticalSubdivisionsMember
Level 2 [Member] | Money Market Mutual Fund [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring     
Level 2 [Member] | Equity securities [Member]
   
Fair value measurements of securities 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 Contract Asset [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring 273us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractAssetMember
257us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractAssetMember
Level 2 [Member] | Interest Rate Contract Liabilities [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring (273)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractLiabilitiesMember
(257)us-gaap_AssetsFairValueDisclosureRecurring
/ us-gaap_EligibleItemOrGroupForFairValueOptionAxis
= us-gaap_AvailableforsaleSecuritiesMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= rbnf_InterestRateContractLiabilitiesMember
Level 3 [Member] | U.S. Treasury and Government agencies [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Mortgage-backed securities [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | State and political subdivisions [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring      
Level 3 [Member] | Money Market Mutual Fund [Member]
   
Fair value measurements of securities measured at fair value on a recurring basis    
Assets, Fair value, Recurring