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GOODWILL AND OTHER INTANGIBLE ASSETS (Disclosures and Components of Purchased Other Intangibles) (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Apr. 30, 2025
Apr. 30, 2024
Apr. 30, 2025
Apr. 30, 2024
Oct. 31, 2024
Finite-Lived Intangible Assets [Line Items]          
Amortizable intangible assets, Gross carrying amount $ 2,074   $ 2,074   $ 2,039
Accumulated Amortization and impairments 1,541   1,541   1,477
Amortizable intangible assets, Net book value 533   533   562
Amortization of Intangible Assets 32 $ 37 64 $ 75  
In Process Research and Development          
Finite-Lived Intangible Assets [Line Items]          
Indefinite-Lived Intangible Assets (Excluding Goodwill) 23   23   45
Developed technology          
Finite-Lived Intangible Assets [Line Items]          
Amortizable intangible assets, Gross carrying amount 1,411   1,411   1,377
Accumulated Amortization and impairments 1,055   1,055   1,018
Amortizable intangible assets, Net book value 356   356   359
Backlog          
Finite-Lived Intangible Assets [Line Items]          
Amortizable intangible assets, Gross carrying amount 38   38   37
Accumulated Amortization and impairments 29   29   25
Amortizable intangible assets, Net book value 9   9   12
Trademark/Tradename          
Finite-Lived Intangible Assets [Line Items]          
Amortizable intangible assets, Gross carrying amount 38   38   38
Accumulated Amortization and impairments 37   37   36
Amortizable intangible assets, Net book value 1   1   2
Customer relationships          
Finite-Lived Intangible Assets [Line Items]          
Amortizable intangible assets, Gross carrying amount 587   587   587
Accumulated Amortization and impairments 420   420   398
Amortizable intangible assets, Net book value $ 167   167   $ 189
In Process Research and Development          
Finite-Lived Intangible Assets [Line Items]          
Finite-Lived Intangible Assets, Period Increase (Decrease)     $ 22