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SEGMENT INFORMATION (Reconciliation of Reportable Results) (Details) - USD ($)
$ in Millions
 12 Months Ended
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Reconcilitation between statement results and enterprise results [Abstract]      
Total reportable segments' income from operations $ 1,069 $ 1,037 $ 735
Share-based compensation expense (93) (82) (59)
Restructuring and related costs (5) (9) (17)
Amortization of acquisition-related balances (224) (224) (265)
Acquisition and integration costs (13) (9) (49)
Separation and related costs 0 0 (2)
Unusual or Infrequent Item, or Both, Net (Gain) Loss (32) 0 7
Goodwill impairment 0 0 (709)
Litigation Settlement, Expense 0 0 25
Gain (Loss) on Disposition of Business 0 1 20
Other (1) (3) (16)
Income (loss) from operations 765 711 (394)
Interest income 11 23 12
Interest expense (78) (80) (83)
Other income (expense), net 63 61 54
Income (loss) before taxes 761 715 (411)
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 5,166 4,565  
Capital expenditures 117 120 132
Communications Solutions Group      
Reconcilitation between statement results and enterprise results [Abstract]      
Income (loss) from operations 773 743 490
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 3,832 3,649  
Capital expenditures 90 91  
Electronic Industrial Solutions Group      
Reconcilitation between statement results and enterprise results [Abstract]      
Income (loss) from operations 296 294 245
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 1,334 916  
Capital expenditures 27 29  
Ixia Solutions Group [Member]      
Reconcilitation between statement results and enterprise results [Abstract]      
Goodwill impairment     (709)
Total Segments [Member]      
Reconcilitation between statement results and enterprise results [Abstract]      
Income (loss) from operations 1,069 1,037 $ 735
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 5,166 4,565  
Capital expenditures $ 117 $ 120