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Note 20 - Business Acquisition - Assets Acquired and Liabilities Assumed (Details) - USD ($)
 12 Months Ended
Jan. 12, 2017
Dec. 31, 2017
Dec. 31, 2018
Previously held equity interest in Liberty   $ 1,068,000  
Net assets acquired:      
Goodwill, Ending Balance   15,071,000 $ 15,071,000
Merger of Liberty Bank, N.A. into The Middlefield Banking Company [Member]      
Total purchase price $ 42,168,000    
Previously held equity interest in Liberty 1,068,000    
Net assets acquired:      
Cash 26,604,000    
Loans and loans held for sale 201,341,000    
Premises and equipment, net 325,000    
Accrued interest receivable 440,000    
Bank-owned life insurance 1,681,000    
Core deposit intangible 3,087,000    
Other assets 997,000    
Time deposits (30,744,000)    
Non-time deposits (167,300,000)    
Accrued interest payable (47,000)    
Deferred taxes (906,000)    
Other liabilities (2,754,000)    
Total net assets acquired 32,724,000    
Goodwill, Ending Balance $ 10,512,000 $ 10,500,000