Cash, Cash Equivalents and Investments (Cash, Cash Equivalents and Investments by Security Type) (Details) - USD ($) $ in Millions	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Cash	$ 1,103	$ 1,010
Total Cash equivalents	2,303	3,787
Total Cash and Cash equivalents	3,406	4,797	$ 3,002	$ 1,711
Short-term and long-term investments, Cost	1,230	1,095
Short-term and long-term investments, Gross Unrealized Gains	46	19
Short-term and long-term investments, Gross Unrealized Losses	4	0
Short-term and long-term investments, Estimated Fair Value	1,272	1,114
Equity investments in privately-held companies	70	78
Cash, Cash Equivalents and Investments, Cost	4,636	5,892
Cash, Cash Equivalents and Investments, Gross Unrealized Gains	46	19
Cash, Cash Equivalents and Investments, Gross Unrealized Losses	4	0
Cash, Cash Equivalents and Investments, Estimated Fair Value	4,678	5,911
Total fixed income securities [Member]
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	1,134	989
Short-term and long-term investments, Gross Unrealized Gains	2	2
Short-term and long-term investments, Gross Unrealized Losses	1	0
Short-term and long-term investments, Estimated Fair Value	1,135	991
U.S. Treasury and agency securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	195	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	195	84
Non-U.S. government securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	5	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	5	9
Municipal securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	408	384
Short-term and long-term investments, Gross Unrealized Gains	0	2
Short-term and long-term investments, Gross Unrealized Losses	0	0
Short-term and long-term investments, Estimated Fair Value	408	386
Commercial paper, corporate bonds and medium-term notes
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	273	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	274	250
Asset-backed and mortgage-backed securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	253	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	253	262
Publicly traded equity securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Short-term and long-term investments, Cost	26	28
Short-term and long-term investments, Gross Unrealized Gains	44	17
Short-term and long-term investments, Gross Unrealized Losses	3	0
Short-term and long-term investments, Estimated Fair Value	67	45
Money market funds
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Total Cash equivalents	1,889	3,272
U.S. Treasury and agency securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Total Cash equivalents	10
Non-U.S. government securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Total Cash equivalents	10	60
Municipal securities
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Total Cash equivalents	253	73
Commercial paper, corporate bonds and medium-term notes
Schedule of Investment Income, Reported Amounts, by Category [Line Items]
Total Cash equivalents	$ 141	$ 382