# Serial and binary search pdf

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A linear search looks down a list, one item at a time, without jumping. In complexity terms this is an O n search - the time taken to search the list gets bigger at the same rate as the list does. A binary search is when you start with the middle of a sorted list, and see serial and binary search pdf that's greater than or less than the value you're looking for, which determines whether the value is in the first or second half of the list. Jump to the half way through the sublist, and compare again etc.

This is pretty much how humans typically look up a word in a dictionary although we use better heuristics, obviously - if you're looking for "cat" you don't start off at "M".

In complexity terms this is an O log n search - the number of search operations grows more slowly than the list does, because you're halving the "search space" with each operation. As an example, suppose you were looking for U in an Serial and binary search pdf list of letters index ; we're looking for the value at index Compare list[12] 'M' with 'U': Smaller, look further on.

Think of it as two different ways of finding your way in a serial and binary search pdf. A linear search is starting at the beginning, reading every name until you find what you're looking for. A binary search, on the other hand, is when you open the book usually in the middlelook at the name on top of the page, and decide if the name you're looking for is bigger or smaller than the one you're looking for. If the name you're looking for is bigger, then you continue searching the upper part of the book in this very fashion.

A linear search works by looking at each element in a list of data until it either finds the target or reaches the end. This results in O n performance on a given list. A binary search comes with serial and binary search pdf prerequisite that the data must be sorted.

We can leverage this information serial and binary search pdf decrease the number of items we need to look at to find our target. We know that if we look at a random item in the data let's say the middle item and that item is greater than our target, then all items to the right of that item will also be greater than our target.

This means that we only need to serial and binary search pdf at the left part of the data. Basically, each time we search for the target and miss, we can eliminate half of the remaining items.

This gives us a nice O log n time complexity. So you should never sort data just to perform a single binary search later on. But if you will be performing many searches say at least O log n searchesit may be worthwhile to sort the data so that you can perform binary searches. You might also consider other data structures such as a hash table in such situations. A linear search starts at the beginning of a list of values, and checks 1 by 1 in order for the result you are looking for.

A binary search starts serial and binary search pdf the middle of a sorted array, and determines which side if any the value you are looking for is on. That "half" of the array is then searched again in the same fashion, dividing the results in half by two each time.

Make sure to deliberate about whether the win of the quicker binary search is worth the cost of keeping the list sorted to be able to use the binary search. Open the book at the half way point and look at the page.

Ask yourself, should this person be to the left or to the right. Repeat this procedure until you find the page where the entry should be and then either apply the same process to columns, or just search linearly along the names on the page as before.

Linear search also referred to as sequential search looks at each element in sequence from the start to see if the desired element is present in the data structure. When the amount of data is small, this search is fast.

Its easy but work needed is in proportion to the amount of data to be searched. Doubling the number of elements will double the time to search if the desired element is not present. Binary search is efficient for larger array. In this we check the middle element.

If the value is serial and binary search pdf that what we are looking for, then look in the first half;otherwise,look in the second half. Repeat this until the desired item is found. The table must be sorted for binary search. It eliminates half the data at each iteration. If we have elements to search, binary search takes about 10 steps, linear search steps. Binary Search finds the middle element of the array. Checks that middle value is greater or lower than the search value.

If it is smaller, it gets the left side of the array and finds the middle element of that part. Serial and binary search pdf it is greater, gets the right part of the array. It loops the operation until it finds the searched value. Or if there is no value in the array finishes the search.