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Significant Risk Concentrations - Additional Information (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Agreement
Dec. 31, 2013
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Concentration Risk [Line Items]                
Accounts receivable $ 13,626,000us-gaap_AccountsReceivableNetCurrent $ 15,893,000us-gaap_AccountsReceivableNetCurrent $ 11,749,000us-gaap_AccountsReceivableNetCurrent $ 11,235,000us-gaap_AccountsReceivableNetCurrent $ 13,130,000us-gaap_AccountsReceivableNetCurrent $ 12,811,000us-gaap_AccountsReceivableNetCurrent $ 13,614,000us-gaap_AccountsReceivableNetCurrent $ 12,639,000us-gaap_AccountsReceivableNetCurrent
Expiration date one of OEM Distribution agreements for embedded operating systems Jun. 30, 2016              
Number of OEM Distribution agreements for embedded operating systems 2bsqr_NumberOfOemDistributionAgreementsForEmbeddedOperatingSystems              
Expiration date of OEM Distribution agreements for mobile operating systems, non-EMEA Jun. 30, 2015              
Number of OEM Distribution agreements for mobile operating systems 4bsqr_NumberOfOemDistributionAgreementsForMobileOperatingSystems              
Cost of revenue-service [Member]                
Concentration Risk [Line Items]                
Earnings under the rebate program 298,000bsqr_RevenueRecognitionUnderRebatesProgram
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
774,000bsqr_RevenueRecognitionUnderRebatesProgram
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
           
Reduction in marketing expense in the future [Member]                
Concentration Risk [Line Items]                
Earnings under the rebate program 685,000bsqr_RevenueRecognitionUnderRebatesProgram
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
409,000bsqr_RevenueRecognitionUnderRebatesProgram
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SellingAndMarketingExpenseMember
           
Future Electronics, Inc. [Member]                
Concentration Risk [Line Items]                
Accounts receivable   3,700,000us-gaap_AccountsReceivableNetCurrent
/ us-gaap_MajorCustomersAxis
= bsqr_FutureElectronicsIncMember
           
Mitsubishi Electric Corporation [Member]                
Concentration Risk [Line Items]                
Accounts receivable   $ 2,800,000us-gaap_AccountsReceivableNetCurrent
/ us-gaap_MajorCustomersAxis
= bsqr_MitsubishiElectricCorporationMember
           
Revenue [Member] | Future Electronics, Inc. [Member] | Customer Concentration Risk [Member]                
Concentration Risk [Line Items]                
Number of customer account as major customer 1bsqr_NumberOfCustomerAccountAsMajorCustomer
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_FutureElectronicsIncMember
             
Concentration risk, percentage 12.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_FutureElectronicsIncMember
             
Revenue [Member] | Customer accounted for 10% or more [Member] | Customer Concentration Risk [Member]                
Concentration Risk [Line Items]                
Number of customer account as major customer 0bsqr_NumberOfCustomerAccountAsMajorCustomer
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
0bsqr_NumberOfCustomerAccountAsMajorCustomer
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
           
Revenue [Member] | Customer accounted for 10% or more [Member] | Customer Concentration Risk [Member] | Minimum [Member]                
Concentration Risk [Line Items]                
Concentration risk, percentage 10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
           
Accounts receivable [Member] | Future Electronics, Inc. [Member] | Credit Concentration Risk [Member]                
Concentration Risk [Line Items]                
Concentration risk, percentage   23.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_FutureElectronicsIncMember
           
Accounts receivable [Member] | Customer accounted for 10% or more [Member] | Credit Concentration Risk [Member]                
Concentration Risk [Line Items]                
Number of customer account as major customer 0bsqr_NumberOfCustomerAccountAsMajorCustomer
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
0bsqr_NumberOfCustomerAccountAsMajorCustomer
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
           
Accounts receivable [Member] | Customer accounted for 10% or more [Member] | Credit Concentration Risk [Member] | Minimum [Member]                
Concentration Risk [Line Items]                
Concentration risk, percentage 10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_CustomerAccountedForTenPercentOrMoreMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
           
Accounts receivable [Member] | Mitsubishi Electric Corporation [Member] | Credit Concentration Risk [Member]                
Concentration Risk [Line Items]                
Concentration risk, percentage   18.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_AccountsReceivableMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= bsqr_MitsubishiElectricCorporationMember