Cash, Cash Equivalents and Investments (Summary of Cash, Cash Equivalents and Investments) (Details) - USD ($) $ in Millions	May. 01, 2016	Oct. 25, 2015	Apr. 26, 2015	Oct. 26, 2014
Summary of Cash, Cash Equivalents and Investments
Cash	$ 1,313	$ 1,010
Total Cash equivalents	1,157	3,787
Total Cash and Cash equivalents	2,470	4,797	$ 3,067	$ 3,002
Short-term and long-term investments, Cost	1,080	1,095
Short-term and long-term investments, Gross Unrealized Gains	28	19
Short-term and long-term investments, Gross Unrealized Losses	4	0
Short-term and long-term investments, Estimated Fair Value	1,104	1,114
Equity investments in privately-held companies	58	78
Cash, Cash Equivalents and Investments, Cost	3,550	5,892
Cash, Cash Equivalents and Investments, Gross Unrealized Gains	28	19
Cash, Cash Equivalents and Investments, Gross Unrealized Losses	4	0
Cash, Cash Equivalents and Investments, Estimated Fair Value	3,574	5,911
Total fixed income securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	989	989
Short-term and long-term investments, Gross Unrealized Gains	3	2
Short-term and long-term investments, Gross Unrealized Losses	1	0
Short-term and long-term investments, Estimated Fair Value	991	991
U.S. Treasury and agency securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	81	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	81	84
Non-US government securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	9	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	9	9
Municipal securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	389	384
Short-term and long-term investments, Gross Unrealized Gains	2	2
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	391	386
Commercial paper, corporate bonds and medium-term notes [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	234	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	235	250
Asset-backed and mortgage-backed securities [Member]
Summary of Cash, Cash Equivalents and Investments
Short-term and long-term investments, Cost	276	262
Short-term and long-term investments, Gross Unrealized Gains	0	0
Short-term and long-term investments, Gross Unrealized Losses	1	0
Short-term and long-term investments, Estimated Fair Value	275	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	25	17
Short-term and long-term investments, Gross Unrealized Losses	3	0
Short-term and long-term investments, Estimated Fair Value	55	45
Money market funds [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	1,111	3,272
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	18	73
Commercial paper, corporate bonds and medium-term notes [Member]
Summary of Cash, Cash Equivalents and Investments
Total Cash equivalents	$ 28	$ 382