Cash, Cash Equivalents and Investments (Summary of Cash, Cash Equivalents and Investments) (Details) - USD ($) $ in Millions	Apr. 30, 2017	Oct. 30, 2016	May 01, 2016	Oct. 25, 2015
Summary of Cash, Cash Equivalents and Investments
Cash	$ 1,190	$ 1,103
Total Cash equivalents	3,754	2,303
Total Cash and Cash equivalents	4,944	3,406	$ 2,470	$ 4,797
Short-term and long-term investments, Cost	2,698	1,230
Gross Unrealized Gains	65	46
Gross Unrealized Losses	2	4
Estimated Fair Value	2,761	1,272
Equity investments in privately-held companies	73	70
Cash, cash equivalents and investments, cost	7,642	4,636
Cash, cash equivalents and investments, gross unrealized gains	65	46
Cash, cash equivalents and investments, gross unrealized losses	2	4
Cash, cash equivalents and investments, estimated fair value	7,705	4,678
Total fixed income securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	2,601	1,134
Gross Unrealized Gains	2	2
Gross Unrealized Losses	2	1
Estimated Fair Value	2,601	1,135
U.S. Treasury and agency securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	531	195
Gross Unrealized Gains	0	0
Gross Unrealized Losses	1	0
Estimated Fair Value	530	195
Non-U.S. government securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	162	5
Gross Unrealized Gains	0	0
Gross Unrealized Losses	0	0
Estimated Fair Value	162	5
Municipal securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	847	408
Gross Unrealized Gains	1	0
Gross Unrealized Losses	0	0
Estimated Fair Value	848	408
Commercial paper, corporate bonds and medium-term notes
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	768	273
Gross Unrealized Gains	1	1
Gross Unrealized Losses	1	0
Estimated Fair Value	768	274
Asset-backed and mortgage-backed securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	293	253
Gross Unrealized Gains	0	1
Gross Unrealized Losses	0	1
Estimated Fair Value	293	253
Publicly traded equity securities
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	24	26
Gross Unrealized Gains	63	44
Gross Unrealized Losses	0	3
Estimated Fair Value	87	67
Money market funds
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	2,637	1,889
U.S. Treasury and agency securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	5	10
Non-U.S. government securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents		10
Municipal securities
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	193	253
Commercial paper, corporate bonds and medium-term notes
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	$ 919	$ 141