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alexmahone
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How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a 1?
Alexmahone said:How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a 1?
I like Serena said:Attempt? (Wondering)
Alexmahone said:x01x01x01x01x01x01x01x01x
I thought that since there are 9 positions for the 9th 1 and 8 positions for the 10th 1, there would be 9x8=72 strings. But this is just wrong since the 1s are indistinguishable.
The number of possible bit strings that can be created with n bits is 2^n. This is because each bit can have two possible values (0 or 1), and the total number of combinations is equal to 2 multiplied by itself n times.
As the number of bits increases, the number of possible bit strings also increases. For example, with 2 bits, there are 4 possible bit strings (00, 01, 10, 11), while with 3 bits, there are 8 possible bit strings (000, 001, 010, 011, 100, 101, 110, 111).
No, bit strings can have varying lengths depending on the number of bits used. For example, a 3-bit string is longer than a 2-bit string, and a 10-bit string is longer than a 5-bit string.
Yes, bit strings can have repeating patterns. For example, a 4-bit string of 0101 has a repeating pattern of 01. However, not all bit strings will have repeating patterns.
Bit strings are commonly used in computer programming to represent and manipulate data. They are used in tasks such as encoding and decoding data, performing logical operations, and representing binary numbers. They are also used in computer algorithms and data structures.