Exercise 1- Checksum Background Material A checksum is an extra collection of bits added to some data in order to force it to satisfy a certain property. This property can then be used to quickly detect simple errors which may happen during communication. For example, when choosing student ID numbers, we ca first choose an initial set of digits any way we please, and then add digits to the end of the number in order to force the sum of the digits to be divisible by 11. By then verifying that this condition holds whenever we process data containing the ID, we equip ourselves with a basic sanity check. Implementation Task Write a function checksum :: Integral a => [a] -> Bool checksum = undefined that takes as input a list of numbers and checks that 1. The list is 8 elements long 2. The sum of the numbers is divisible by 11. The function should return True if both of these conditions are met, and False otherwise.

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Please explain the given solution for the question Solution: checksum :: Integral a => [a] -> Bool checksum xs = (length xs == 8) && ((sum xs) `mod` 11 == 0)
Exercise 1- Checksum
Background Material
A checksum is an extra collection of bits added to some data in order to force it to satisfy a certain property. This property can then be
used to quickly detect simple errors which may happen during communication. For example, when choosing student ID numbers, we can
first choose an initial set of digits any way we please, and then add digits to the end of the number in order to force the sum of the digits
to be divisible by 11. By then verifying that this condition holds whenever we process data containing the ID, we equip ourselves with a
basic sanity check.
Implementation Task
Write a function
checksum: Integral a => [a] -> Bool
checksum= undefined
that takes as input a list of numbers and checks that
1. The list is 8 elements long
2. The sum of the numbers is divisible by 11.
The function should return True if both of these conditions are met, and False otherwise.
Examples
*Main> checksum [8,3,2,3,8,7,0,2]
True
*Main> checksum [8,3,2,3,8,9,1,2]
False
*Main> checksum [4,5,8,2,4]
False
Transcribed Image Text:Exercise 1- Checksum Background Material A checksum is an extra collection of bits added to some data in order to force it to satisfy a certain property. This property can then be used to quickly detect simple errors which may happen during communication. For example, when choosing student ID numbers, we can first choose an initial set of digits any way we please, and then add digits to the end of the number in order to force the sum of the digits to be divisible by 11. By then verifying that this condition holds whenever we process data containing the ID, we equip ourselves with a basic sanity check. Implementation Task Write a function checksum: Integral a => [a] -> Bool checksum= undefined that takes as input a list of numbers and checks that 1. The list is 8 elements long 2. The sum of the numbers is divisible by 11. The function should return True if both of these conditions are met, and False otherwise. Examples *Main> checksum [8,3,2,3,8,7,0,2] True *Main> checksum [8,3,2,3,8,9,1,2] False *Main> checksum [4,5,8,2,4] False
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