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ACQUISITIONS (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Apr. 18, 2017
Jul. 31, 2019
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Jun. 14, 2019
Business Acquisition [Line Items]            
Payments to Acquire Businesses, Net of Cash Acquired     $ 88 $ 5 $ 1,702  
Deferred tax liability for intangible assets     38 66    
Acquisition related compensation expense paid in cash     $ 0 $ 0 $ (28)  
Prisma [Member]            
Business Acquisition [Line Items]            
Payments to Acquire Businesses, Net of Cash Acquired   $ 88        
Cash and cash equivalents           $ 56
Ixia [Member]            
Business Acquisition [Line Items]            
Acquisition effective date       Apr. 18, 2017    
Business Acquisition, Date of Acquisition Agreement       Jan. 30, 2017    
Payments to Acquire Businesses, Net of Cash Acquired $ 1,622          
Deferred tax liability for intangible assets 186          
Estimated cost to complete in process research and development 12          
Cash and cash equivalents $ 72          
Business Acquisition, Share Price $ 19.65          
Business Combination, Consideration Transferred, Other $ 47          
Business Acquisition, Goodwill, Expected Tax Deductible Amount $ 48          
Discount rate used to value In Process R&D 14.00%