Cash, Cash Equivalents and Investments (Summary of Cash, Cash Equivalents and Investments) (Details) - USD ($) $ in Millions	Apr. 29, 2018	Oct. 29, 2017	Apr. 30, 2017	Oct. 30, 2016
Summary of Cash, Cash Equivalents and Investments
Cash	$ 1,468	$ 1,346
Total Cash equivalents	3,402	3,664
Total Cash and Cash equivalents	4,870	5,010	$ 4,944	$ 3,406
Short-term and long-term investments, Cost	1,622	3,334
Equity investments in privately-held companies	80	74
Gross Unrealized Gains	87	79
Gross Unrealized Losses	13	4
Estimated Fair Value	1,696	3,409
Cash, cash equivalents and investments, cost	6,492	8,344
Cash, cash equivalents and investments, gross unrealized gains	87	79
Cash, cash equivalents and investments, gross unrealized losses	13	4
Cash, cash equivalents and investments, estimated fair value	6,566	8,419
Total fixed income securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	1,521	3,238
Gross Unrealized Gains	0	1
Gross Unrealized Losses	13	3
Estimated Fair Value	1,508	3,236
U.S. Treasury and agency securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	193	667
Gross Unrealized Gains	0	0
Gross Unrealized Losses	1	1
Estimated Fair Value	192	666
Non-U.S. government securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	49	161
Gross Unrealized Gains	0	0
Gross Unrealized Losses	0	0
Estimated Fair Value	49	161
Municipal securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	395	1,007
Gross Unrealized Gains	0	0
Gross Unrealized Losses	4	0
Estimated Fair Value	391	1,007
Commercial paper, corporate bonds and medium-term notes
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	456	1,024
Gross Unrealized Gains	0	1
Gross Unrealized Losses	4	1
Estimated Fair Value	452	1,024
Asset-backed and mortgage-backed securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	428	379
Gross Unrealized Gains	0	0
Gross Unrealized Losses	4	1
Estimated Fair Value	424	378
Publicly traded equity securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	21	22
Gross Unrealized Gains	87	78
Gross Unrealized Losses	0	1
Estimated Fair Value	108	99
Money market funds
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	1,894	2,658
U.S. Treasury and agency securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents		15
Non-U.S. Government Corporations and Agencies Securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	80	55
Municipal securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	795	341
Commercial paper, corporate bonds and medium-term notes
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	$ 633	$ 595