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NEW ACCOUNTING PRONOUNCEMENTS Effect of ASC 606 adoption on financial statement (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Nov. 01, 2018
Net Revenue:        
Revenues $ 4,303      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 1,769 $ 1,767 $ 1,492  
Research and Development Expense 688 624 507  
Selling, General and Administrative Expense 1,155 1,205 1,058  
Other Operating Income (Expense), Net 20 33 16  
Total costs and expenses 3,592 4,272 3,041  
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) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest 715 (411) 179  
Provision (benefit) for income taxes 94 (576) 77  
Net income $ 621 $ 165 $ 102  
Basic (in dollars per share) $ 3.31 $ 0.88 $ 0.57  
Diluted (in dollars per share) $ 3.25 $ 0.86 $ 0.56  
ASSETS        
Accounts receivable, net $ 668 $ 624   $ 631
Inventory 705 619   619
Other current assets 244 222   250
Long-term deferred tax assets 755 750   735
Other assets 332 279   282
Liabilities 3,619 3,391    
Deferred revenue 334 334   281
Income and other taxes payable 55 42   43
Other accrued liabilities 83 69   76
Long-term deferred revenue 176 127   116
Other long-term liabilities 295 287   290
Equity [Abstract]        
Retained earnings 1,909 1,212   1,288
Calculated under Revenue Guidance in Effect before Topic 606 [Member]        
Net Revenue:        
Revenues 4,283      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 1,765      
Research and Development Expense 688      
Selling, General and Administrative Expense 1,153      
Other Operating Income (Expense), Net (20)      
Total costs and expenses 3,586      
Income (loss) from operations 697      
Interest income 23      
Interest expense (80)      
Other income (expense), net 61      
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest 701      
Provision (benefit) for income taxes 93      
Net income $ 608      
Basic (in dollars per share) $ 3.24      
Diluted (in dollars per share) $ 3.18      
ASSETS        
Accounts receivable, net $ 642 624    
Inventory 709 619    
Other current assets 217 222    
Long-term deferred tax assets 772 750    
Other assets 328 279    
Deferred revenue 389 334    
Income and other taxes payable 53 42    
Other accrued liabilities 73 69    
Long-term deferred revenue 188 127    
Other long-term liabilities 293 287    
Equity [Abstract]        
Retained earnings 1,820 1,212    
Difference between Revenue Guidance in Effect before and after Topic 606 [Member]        
ASSETS        
Accounts receivable, net       7
Inventory       0
Other current assets       28
Long-term deferred tax assets       (15)
Other assets       3
Deferred revenue       (53)
Income and other taxes payable       1
Other accrued liabilities       7
Long-term deferred revenue       (11)
Other long-term liabilities       3
Equity [Abstract]        
Retained earnings       $ 76
Products        
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 1,439 1,449 $ 1,210  
Products | Calculated under Revenue Guidance in Effect before Topic 606 [Member]        
Net Revenue:        
Revenues 3,528      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 1,435      
Service, Other [Member]        
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 330 $ 318 $ 282  
Service, Other [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]        
Net Revenue:        
Revenues 755      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 330      
Accounting Standards Update 2014-09 [Member] | Difference between Revenue Guidance in Effect before and after Topic 606 [Member]        
Net Revenue:        
Revenues 20      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 4      
Research and Development Expense 0      
Selling, General and Administrative Expense 2      
Other Operating Income (Expense), Net 0      
Total costs and expenses 6      
Income (loss) from operations 14      
Interest income 0      
Interest expense 0      
Other income (expense), net 0      
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest 14      
Provision (benefit) for income taxes 1      
Net income $ 13      
Basic (in dollars per share) $ 0.07      
Diluted (in dollars per share) $ 0.07      
ASSETS        
Accounts receivable, net $ 26      
Inventory (4)      
Other current assets 27      
Long-term deferred tax assets (17)      
Other assets 4      
Deferred revenue (55)      
Income and other taxes payable 2      
Other accrued liabilities 10      
Long-term deferred revenue (12)      
Other long-term liabilities 2      
Equity [Abstract]        
Retained earnings 89      
Accounting Standards Update 2014-09 [Member] | Products | Difference between Revenue Guidance in Effect before and after Topic 606 [Member]        
Net Revenue:        
Revenues 26      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold 4      
Accounting Standards Update 2014-09 [Member] | Service, Other [Member] | Difference between Revenue Guidance in Effect before and after Topic 606 [Member]        
Net Revenue:        
Revenues (6)      
Costs and Expenses [Abstract]        
Cost of Goods and Services Sold $ 0