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INCOME TAXES (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest [Abstract]      
U.S. operations $ 68 $ 20 $ (532)
Non-U.S. operations 693 695 121
Income (loss) before taxes 761 715 (411)
Income Tax Expense (Benefit), Continuing Operations [Abstract]      
U.S. federal taxes - current 16 10 131
U.S. federal taxes - deferred 1 (8) 46
Non-U.S. taxes - current 77 91 75
Non-U.S. taxes - deferred 36 14 (832)
State taxes, net of federal benefit - current 0 (5) 7
State taxes, net of federal benefit - deferred 4 (8) (3)
Total provision (benefit) for income taxes (134) (94) 576
Components of Deferred Tax Assets [Abstract]      
Inventory 10 10  
Intangibles 597 630  
Property, plant and equipment 21 17  
Warranty reserves 8 9  
Pension benefits 90 86  
Employee benefits, other than retirement 28 29  
Net operating loss, capital loss, and credit carryforwards 286 283  
Unremitted earnings of foreign subsidiaries 0 0  
Share-based compensation 16 15  
Deferred revenue 32 25  
Other 10 14  
Subtotal 1,098 1,118  
Tax valuation allowance (238) (240)  
Total deferred tax assets 860 878  
Deferred Tax Liabilities, Gross [Abstract]      
Inventory 0 (2)  
Intangibles (38) (38)  
Property, plant and equipment (31) (24)  
Warranty reserves (1) (1)  
Pension benefits (84) (76)  
Deferred Tax Liabilities Employee Benefits (1) (1)  
Net operating loss, capital loss, and credit carryforwards 0 0  
Unremitted earnings of foreign subsidiaries (37) (12)  
Share-based compensation 0 0  
Deferred revenue (3) (5)  
Other (11) (12)  
Subtotal (206) (171)  
Tax valuation allowance 0 0  
Total deferred tax liabilities (206) (171)  
Deferred Tax Liabilities, Undistributed Foreign Earnings 37 12  
Undistributed Earnings of Foreign Subsidiaries   105  
Deferred Tax Liability Not Recognized, Amount of Unrecognized Deferred Tax Liability, Undistributed Earnings of Foreign Subsidiaries   4  
Net operating loss, capital loss, and credit carryforwards 286 283  
Tax valuation allowance 238 240  
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Profit(loss) before tax times statutory rate 160 150 (96)
State income taxes, net of federal benefit 4 (6) 2
Current U.S. tax on foreign earnings 39 48 210
Reversal of deferred taxes on foreign earnings not considered indefinitely reinvested 8 2 (300)
U.S. benefit on foreign sales (8) (13) 0
U.S. research credits (14) (12) (10)
Non-U.S. income taxed at different rates (64) (70) 16
Change in unrecognized tax benefits 8 (12) 86
Share-based compensation (7) (5) (2)
officer compensation 5 4 2
Singapore tax incentive and amortization 0 0 (591)
Goodwill impairment 0 0 99
U.S. federal statutory tax rate change 0 0 10
Other, net 3 8 (2)
Total provision (benefit) for income taxes $ (134) $ (94) $ 576
Effective tax rate (in hundredths) 18.00% 13.00% 140.00%
Impact of the tax holidays decreased in income taxes $ 53 $ 47 $ 567
The benefit of the tax holidays on net income per share (diluted) $ 0.28 $ 0.25 $ 2.97
Benefit of tax incentive related to Singapore restructuring on EPS     2.97
Income tax benefit related to one-time items due to retroactive granting of Singapore tax incentives (in hundredths)     $ 2.75
Current And Long Term Deferred Tax Assets And Liabilities [Abstract]      
Total $ 740 $ 755  
Amortization of Intangible Assets 220 210 $ 204
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Gross Balance, beginning of year 226 234 146
Additions due to acquisitions 0 9 0
Additions for tax positions related to the current year 13 18 100
Additions for tax positions from prior years 2 0 2
Reductions for tax positions from prior years (1) (32) (1)
Settlements with taxing authorities 0 0 (12)
Statute of limitations expirations (3) (3) (1)
Gross Balance, end of year 237 226 234
Unrecognized Tax Benefits that Would Impact Effective Tax Rate 221 216 227
Additions due to acquisitions 0 9 0
Interest and penalties accrued related to unrecognized tax benefits accrued and reported 33 28 22
Interest and penalties relating to unrecognized tax benefits recognized $ 5 2 $ 2
Acquired entities [Member]      
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Interest and penalties relating to unrecognized tax benefits recognized   4  
Revision of Prior Period, Error Correction, Adjustment [Member]      
Components of Deferred Tax Assets [Abstract]      
Net operating loss, capital loss, and credit carryforwards   167  
Tax valuation allowance   (167)  
Total deferred tax assets   0  
Deferred Tax Liabilities, Gross [Abstract]      
Net operating loss, capital loss, and credit carryforwards   167  
Tax valuation allowance   $ 167