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Stockholders' Equity, Comprehensive Income and Share-Based Compensation - Share-Based Compensation (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Apr. 26, 2020 | Apr. 28, 2019 | Apr. 26, 2020 | Apr. 28, 2019
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total share-based compensation | $ 71 | $ 65 | $ 164 | $ 130
Cost of products sold |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total share-based compensation | 24 | 22 | 55 | 44
Research, development and engineering |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total share-based compensation | 27 | 25 | 62 | 49
Marketing and selling |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total share-based compensation | 8 | 7 | 19 | 15
General and administrative |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total share-based compensation | $ 12 | $ 11 | $ 28 | $ 22

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