This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e., 8-digit numbers composed of 0's and 1's). (a) How many such strings are there? (b) How many such strings end in 0? (c) How many such strings have I's for their second and fourth digits? (d) How many such strings have 1's for their second or fourth digits?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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5. This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e.,
8-digit numbers composed of 0's and 1's).
(a) How many such strings are there?
(b) How many such strings end in 0?
(c) How many such strings have 1's for their second and fourth digits?
(d) How many such strings have 1's for their second or fourth digits?
Transcribed Image Text:5. This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e., 8-digit numbers composed of 0's and 1's). (a) How many such strings are there? (b) How many such strings end in 0? (c) How many such strings have 1's for their second and fourth digits? (d) How many such strings have 1's for their second or fourth digits?
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