Cash, Cash Equivalents and Investments (Details) - USD ($)	3 Months Ended
	Jan. 29, 2017	Jan. 31, 2016	Oct. 30, 2016
Contractual maturities of investments
Due in one year or less, Cost	$ 639,000,000
Due after one through five years, Cost	529,000,000
No single maturity date, Cost	355,000,000
Short-term and long-term investments, Cost	1,523,000,000		$ 1,230,000,000
Due in one year or less, Estimated Fair Value	639,000,000
Due after one through five years, Estimated Fair Value	526,000,000
No single maturity date, Estimated Fair Value	400,000,000
Investments maturities, Estimated Fair Value	1,565,000,000		1,272,000,000
Fixed Income Securities [Member]
Cash and Cash Equivalents [Line Items]
Other than Temporary Impairment Losses, Investments	0	$ 0
Contractual maturities of investments
Short-term and long-term investments, Cost	1,433,000,000		1,134,000,000
Investments maturities, Estimated Fair Value	1,429,000,000		1,135,000,000
Publicly traded equity securities
Cash and Cash Equivalents [Line Items]
Other than Temporary Impairment Losses, Investments	0	$ 0
Contractual maturities of investments
Short-term and long-term investments, Cost	26,000,000		26,000,000
Investments maturities, Estimated Fair Value	$ 72,000,000		$ 67,000,000