# How Many Bit Strings of Length Eight Either Start With a 1 Bit or End With the Two Bits 00?

August 5, 2022

The correct answer is “Option 3“. Therefore, the number of bit sequences of length 8 that either start with 1 or end with 00 is 160.

## How many bit strings of length eight are there that end with the two bits 00?

Number of 8-bit strings ending in 00: 26 = 64.

## How many bit strings of length 8 either start with 01 or end with 01?

With this condition, only strings ending in 01 satisfy the required condition. This leaves only 5 binary digits freely selectable: We count them all in the form 0xxxxx01. So there are 25 strings in this sentence.

## How many bit strings are there of length 8?

How many bit sequences are there with length 8? There are 28, so 256. This means that there are 256 different values ​​you can store in a byte, since a byte consists of eight bits.

## How many eight bit strings begin or end with 1?

How many 8-bit strings start and end with 1? Answer : 26 since the first and last bit are already fixed. How many 8-bit strings have either the second or fourth bit 1 (or both)?

## How many bit strings of length 10 either start with a 1 bit or end with two bits 00?

The correct answer is: C

Since 1 bit is fixed, we have 9 positions left, the bits used are 2(0&1). So the total possible strings are 29.

## How many strings of length 8 either begin with 3 zeros or end with 4 ones?

So in total n1=6⋅25, but here you have 8 ways to get 4 consecutive 1s. Same way for case 2. n2 will be 5⋅24 and again we can find 8 ways to get 3 consecutive 0s. So in total =n1+n2−(8+8)=272−16=256.

## How many strings exists of length 8 either start with 1 or end with 00?

The correct answer is “Option 3“. Therefore, the number of bit sequences of length 8 that either start with 1 or end with 00 is 160.

## How many bit strings of length seven either start with a 1 bit or end with the bit 1?

So the correct answer is 44.

## How many eight bit strings begins either with a 101 or 111?

Therefore, the number of 8-bit strings beginning with either “111…” or “101…” is 64.

## How many bit strings of length 10 start with a 1 or end with a 1?

We’re asked for 10 bits, but the first and last bits are already selected for us. Bits are either 1 or 0 so there are 2 choices per bit and 8 bits to choose from. Therefore, there are 28 = 256 bits strings of length ten that start and end with a 1.

## How many bit strings of length 7 either begin with 00 or end with 111?

Answer: Using the inclusion-exclusion principle: A = set of 7-bit strings starting with 00 B = set of 7-bit strings ending with 111 The answer is |A∪B| = |A|+|B|-|A∩B|=25+24-22 = 44.

## What is an 8 bit string?

A byte is a string of 8 bits.

## How many eight-bit strings have either the second or fourth bit 1 or both )?

Since there are 256 8-bit strings, 64 of which strings do not have 1s in the second and fourth places, 256 − 64 = 192 256-64=192 256−64=192 strings have a 1 on the second or fourth digit (or both).

## How many binary strings of length 8 are there that contain two or fewer 1s?

Hence, there are 37 binary strings.

## How many bit strings of length n where n is a positive integer start and end with 1s?

How many bit sequences of length n, where n is a positive integer, begin and end with 1? Solution. There are n − 2 slots available (the first and last are occupied by 1), so this must be the same number as the number of bit strings of length n − 2, i.e. 2n−2 .< /p>

### References:

1. https://www.inf.ed.ac.uk/teaching/courses/dmmr/slides/14-15/Ch6.pdf
2. https://math.stackexchange.com/questions/1825199/how-many-bit-strings-of-length-8-start-with-1-or-end-with-01
3. http://aleph0.clarku.edu/~djoyce/ma114/Sec51.pdf
4. https://condor.depaul.edu/ichu/csc415/notes/notes5/examples5.html
5. https://selfstudy365.com/qa/how-many-bit-strings-of-length-ten-either-start-with-a-1-bit-or-end-wi-5e70985af60d5d1807e382a1
6. https://math.stackexchange.com/questions/922659/number-of-binary-strings-of-length-8-that-contain-either-three-consecutive-0s-or