How many 14-bit strings (that is, bit strings of length 14) are there which: a. Start with the sub-string 011? b. Have weight 8 (i.e., contain exactly 8 1's) and start with the sub-string 011? c. Either start with 011 or end with 01 (or both)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How many 14-bit strings (that is, bit strings of
length 14) are there which:
a. Start with the sub-string 011?
b. Have weight 8 (i.e., contain exactly 8 1's) and
start with the sub-string 011?
c. Either start with 011 or end with 01 (or
both)?
d. Have weight 8 and either start with 011 or
end with 01 (or both)?
Transcribed Image Text:How many 14-bit strings (that is, bit strings of length 14) are there which: a. Start with the sub-string 011? b. Have weight 8 (i.e., contain exactly 8 1's) and start with the sub-string 011? c. Either start with 011 or end with 01 (or both)? d. Have weight 8 and either start with 011 or end with 01 (or both)?
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