Income Taxes (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Oct. 26, 2014	Oct. 27, 2013	Oct. 28, 2012
Components of income from operations before income taxes
U.S.	$ 612	$ 194	$ 381
Foreign	836	156	(65)
Income before income taxes	1,448	350	316
Current:
U.S.	270	3	74
Foreign	97	72	75
State	27	2	8
Total current provision for income taxes	394	77	157
Deferred:
U.S.	(9)	34	52
Foreign	(3)	(19)	(4)
State	(6)	2	2
Total deferred provision (benefit) for income taxes	(18)	17	50
Provision for income taxes	376	94	207
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	35.00%	35.00%	35.00%
Resolutions from prior years’ income tax filings	2.00%	(4.70%)	(6.00%)
Effect of foreign operations taxed at various rates	(10.90%)	(21.10%)	(8.50%)
State income taxes, net of federal benefit	1.00%	0.80%	2.00%
Research and other tax credits	(0.30%)	(5.40%)	(1.00%)
Production benefit	(1.30%)	(1.00%)	(8.00%)
Acquisition costs	0.80%	0.00%	0.00%
Goodwill impairment	0.00%	22.50%	47.00%
Share-based compensation	0.40%	2.20%	4.00%
Other	(0.70%)	(1.40%)	1.00%
Effective income tax rate	26.00%	26.90%	65.50%
Deferred tax assets:
Allowance for doubtful accounts	26	27
Inventory reserves and basis difference	128	134
Installation and warranty reserves	18	14
Accrued liabilities	123	138
Deferred revenue	32	27
Tax credits and net operating losses	160	182
Deferred compensation	44	33
Share-based compensation	57	60
Fixed assets	16	(34)
Other	27	13
Gross deferred tax assets	631	594
Valuation allowance	(173)	(116)
Total deferred tax assets	458	478
Deferred tax liabilities:
Intangible assets	(92)	(82)
Undistributed foreign earnings	(87)	(75)
Foreign exchange	(12)	(18)
Total gross deferred tax liabilities	(191)	(175)
Net deferred tax assets	267	303
Breakdown between current and non-current net deferred tax assets and liabilities
Current deferred tax asset	232	323
Non-current deferred tax asset	67	53
Current deferred tax liability	0	(2)
Non-current deferred tax liability	(32)	(71)
Net deferred tax assets	267	303
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	194	174
Settlements with tax authorities	(143)	(15)
Lapses of statutes of limitation	(2)	(15)
Increases in tax positions for current year	52	48
Increases in tax positions for prior years	42	2
Decreases in tax positions for prior years	(9)	0
Ending balance of gross unrecognized tax benefits	$ 134	$ 194	$ 174