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SEGMENT INFORMATION (Reconciliation of Reportable Results) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Reconcilitation between statement results and enterprise results [Abstract]      
Total reportable segments' income from operations $ 1,037 $ 735 $ 598
Share-based compensation expense (82) (59) (56)
Restructuring and related costs (9) (17) (11)
Amortization of acquisition-related balances (224) (265) (256)
Acquisition and integration costs (9) (49) (57)
Acquisition-related compensation expense 0 0 (28)
Separation and related costs 0 (2) (20)
Pension curtailment and settlement loss (gain) (2) (1) 69
Loss from Catastrophes 0 (7) (16)
Goodwill impairment 0 (709) 0
Litigation Settlement, Expense 0 25 0
Gain (Loss) on Disposition of Business 1 20 0
Other (3) (16) (6)
Income (loss) from operations 711 (394) 148
Interest income 23 12 7
Interest expense (80) (83) (80)
Other income (expense), net 61 54 104
Income (loss) before taxes 715 (411) 179
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 4,599 4,330  
Capital expenditures 120 132 72
Communications Solutions Group      
Reconcilitation between statement results and enterprise results [Abstract]      
Goodwill impairment   0  
Income (loss) from operations 714 474 347
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 2,267 2,115  
Capital expenditures 71 90  
Electronic Industrial Solutions Group      
Reconcilitation between statement results and enterprise results [Abstract]      
Goodwill impairment   0  
Income (loss) from operations 294 245 209
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 928 888  
Capital expenditures 29 32  
Ixia Solutions Group [Member]      
Reconcilitation between statement results and enterprise results [Abstract]      
Goodwill impairment   (709)  
Income (loss) from operations 29 16 42
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 1,404 1,327  
Capital expenditures 20 10  
Total Segments [Member]      
Reconcilitation between statement results and enterprise results [Abstract]      
Income (loss) from operations 1,037 735 $ 598
Segment assets and capital expenditures [Abstract]      
Total reportable segments' assets 4,599 4,330  
Capital expenditures $ 120 $ 132