Cash, Cash Equivalents and Investments (Summary of Cash, Cash Equivalents and Investments) (Details) - USD ($) $ in Millions	Jul. 31, 2016	Oct. 25, 2015	Jul. 26, 2015	Oct. 26, 2014
Summary of Cash, Cash Equivalents and Investments
Cash	$ 1,084	$ 1,010
Total Cash equivalents	1,744	3,787
Total Cash and Cash equivalents	2,828	4,797	$ 2,574	$ 3,002
Short-term and long-term investments, Cost	1,350	1,095
Short-term and long-term investments, Gross Unrealized Gains	53	19
Short-term and long-term investments, Gross Unrealized Losses	5	0
Short-term and long-term investments, Estimated Fair Value	1,398	1,114
Equity investments in privately-held companies	65	78
Cash, Cash Equivalents and Investments, Cost	4,178	5,892
Cash, Cash Equivalents and Investments, Gross Unrealized Gains	53	19
Cash, Cash Equivalents and Investments, Gross Unrealized Losses	5	0
Cash, Cash Equivalents and Investments, Estimated Fair Value	4,226	5,911
Total fixed income securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	1,252	989
Short-term and long-term investments, Gross Unrealized Gains	5	2
Short-term and long-term investments, Gross Unrealized Losses	1	0
Short-term and long-term investments, Estimated Fair Value	1,256	991
U.S. Treasury and agency securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	253	84
Short-term and long-term investments, Gross Unrealized Gains	0	0
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	253	84
Non-US government securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	20	9
Short-term and long-term investments, Gross Unrealized Gains	0	0
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	20	9
Municipal securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	409	384
Short-term and long-term investments, Gross Unrealized Gains	3	2
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	412	386
Commercial paper, corporate bonds and medium-term notes [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	306	250
Short-term and long-term investments, Gross Unrealized Gains	1	0
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	307	250
Asset-backed and mortgage-backed securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	264	262
Short-term and long-term investments, Gross Unrealized Gains	1	0
Short-term and long-term investments, Gross Unrealized Losses	1	0
Short-term and long-term investments, Estimated Fair Value	264	262
Publicly traded equity securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	33	28
Short-term and long-term investments, Gross Unrealized Gains	48	17
Short-term and long-term investments, Gross Unrealized Losses	4	0
Short-term and long-term investments, Estimated Fair Value	77	45
Money market funds [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	1,380	3,272
U.S. Treasury and agency securities [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	40
Non-U.S. government securities [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents		60
Municipal securities [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	167	73
Commercial paper, corporate bonds and medium-term notes [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	$ 157	$ 382