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NEW ACCOUNTING PRONOUNCEMENTS Effect of ASC 606 adoption on income statement (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 6 Months Ended
Apr. 30, 2019
Apr. 30, 2018
Apr. 30, 2019
Apr. 30, 2018
Nov. 01, 2018
Oct. 31, 2018
Net revenue:            
Revenues $ 1,090 $ 990 $ 2,096 $ 1,827    
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 442 451 870 863    
Research and development 171 160 344 310    
Selling, general and administrative 300 305 588 600    
Other operating expense (income), net (8) (12) (12) (15)    
Total costs and expenses 905 904 1,790 1,758    
Income from operations 185 86 306 69    
Interest income 6 2 10 5    
Interest expense (20) (21) (40) (43)    
Other income (expense), net 22 16 37 29    
Income before taxes 193 83 313 60    
Provision for income taxes 40 19 46 (98)    
Net income $ 153 $ 64 $ 267 $ 158    
Net income per share:            
Earnings Per Share, Basic $ 0.81 $ 0.34 $ 1.42 $ 0.84    
Earnings Per Share, Diluted $ 0.80 $ 0.34 $ 1.40 $ 0.83    
Assets:            
Accounts receivable, net $ 660   $ 660   $ 631 $ 624
Inventory 660   660     619
Other current assets 227   227   250 222
Long-term deferred tax assets 727   727   735 750
Other assets 317   317   282 279
Liabilities:            
Deferred revenue 333   333   281 334
Income and other taxes payable 61   61   43 42
Other accrued liabilities 74   74   76 69
Long-term deferred revenue 150   150   116 127
Other long-term liabilities 251   251   290 287
Stockholders' equity:            
Retained earnings 1,555   1,555   1,288 1,212
Calculated under Revenue Guidance in Effect before Topic 606 [Member]            
Net revenue:            
Revenues 1,087   2,079      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 442   869      
Research and development 171   344      
Selling, general and administrative 298   585      
Other operating expense (income), net (8)   (12)      
Total costs and expenses 903   1,786      
Income from operations 184   293      
Interest income 6   10      
Interest expense (20)   (40)      
Other income (expense), net 22   37      
Income before taxes 192   300      
Provision for income taxes 40   44      
Net income $ 152   $ 256      
Net income per share:            
Earnings Per Share, Basic $ 0.81   $ 1.36      
Earnings Per Share, Diluted $ 0.79   $ 1.34      
Assets:            
Accounts receivable, net $ 652   $ 652     624
Inventory 661   661      
Other current assets 202   202     222
Long-term deferred tax assets 744   744     750
Other assets 314   314     279
Liabilities:            
Deferred revenue 397   397     334
Income and other taxes payable 60   60     42
Other accrued liabilities 67   67     69
Long-term deferred revenue 166   166     127
Other long-term liabilities 248   248     287
Stockholders' equity:            
Retained earnings 1,468   1,468     $ 1,212
Difference between Revenue Guidance in Effect before and after Topic 606 [Member] | Accounting Standards Update 2014-09 [Member]            
Net revenue:            
Revenues 3   17      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 0   1      
Research and development 0   0      
Selling, general and administrative 2   3      
Other operating expense (income), net 0   0      
Total costs and expenses 2   4      
Income from operations 1   13      
Interest income 0   0      
Interest expense 0   0      
Other income (expense), net 0   0      
Income before taxes 1   13      
Provision for income taxes 0   2      
Net income $ 1   $ 11      
Net income per share:            
Earnings Per Share, Basic $ 0   $ 0.06      
Earnings Per Share, Diluted $ 0.01   $ 0.06      
Assets:            
Accounts receivable, net $ 8   $ 8   7  
Inventory (1)   (1)      
Other current assets 25   25   28  
Long-term deferred tax assets (17)   (17)   (15)  
Other assets 3   3   3  
Liabilities:            
Deferred revenue (64)   (64)   (53)  
Income and other taxes payable 1   1   1  
Other accrued liabilities 7   7   7  
Long-term deferred revenue (16)   (16)   (11)  
Other long-term liabilities 3   3   3  
Stockholders' equity:            
Retained earnings 87   87   $ 76  
Products            
Net revenue:            
Revenues 911 $ 830 1,748 $ 1,514    
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 360 370 707 709    
Products | Calculated under Revenue Guidance in Effect before Topic 606 [Member]            
Net revenue:            
Revenues 903   1,725      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 360   706      
Products | Difference between Revenue Guidance in Effect before and after Topic 606 [Member] | Accounting Standards Update 2014-09 [Member]            
Net revenue:            
Revenues 8   23      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 0   1      
Services and other            
Net revenue:            
Revenues 179 160 348 313    
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 82 $ 81 163 $ 154    
Services and other | Calculated under Revenue Guidance in Effect before Topic 606 [Member]            
Net revenue:            
Revenues 184   354      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold 82   163      
Services and other | Difference between Revenue Guidance in Effect before and after Topic 606 [Member] | Accounting Standards Update 2014-09 [Member]            
Net revenue:            
Revenues (5)   (6)      
Costs and Expenses [Abstract]            
Cost of Goods and Services Sold $ 0   $ 0