Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	$ 7,217	$ 7,613	$ 7,868
Other comprehensive income (loss) before reclassifications	66	(61)	(25)
Amounts reclassified out of AOCI	(15)	38	9
Other comprehensive income, net of tax	51	(23)	(16)
Ending Balance	9,349	7,217	7,613
Unrealized Gain (Loss) on Investments, Net
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	30	14	24
Other comprehensive income (loss) before reclassifications	24	14	(11)
Amounts reclassified out of AOCI	(1)	2	1
Other comprehensive income, net of tax	23	16	(10)
Ending Balance	53	30	14
Unrealized Gain (Loss) on Derivative Instruments Qualifying as Cash Flow Hedges
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	(18)	(15)	0
Other comprehensive income (loss) before reclassifications	13	(33)	(9)
Amounts reclassified out of AOCI	(6)	30	(6)
Other comprehensive income, net of tax	7	(3)	(15)
Ending Balance	(11)	(18)	(15)
Defined and Postretirement Benefit Plans
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	(141)	(105)	(105)
Other comprehensive income (loss) before reclassifications	29	(42)	(5)
Amounts reclassified out of AOCI	(8)	6	5
Other comprehensive income, net of tax	21	(36)	0
Ending Balance	(120)	(141)	(105)
Cumulative Translation Adjustments
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	14	14	5
Other comprehensive income (loss) before reclassifications	0	0	0
Amounts reclassified out of AOCI	0	0	9
Other comprehensive income, net of tax	0	0	9
Ending Balance	14	14	14
AOCI Attributable to Parent
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]
Beginning Balance	(115)	(92)	(76)
Other comprehensive income, net of tax	51	(23)	(16)
Ending Balance	$ (64)	$ (115)	$ (92)