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Sorting algorithm that sorts number either from left most or right most hence divided into 2 a. LSD-> Least-significant-digit-first( considers digits from right to left) b. MSD->Most-significant-digit-first (considers digits from left to right) It uses Counting Sort Algorithm as a subroutine. Has a running time of O(nd) where (n=size of Array, d=number of digits). Has high memory usage O(n+d)
Basic Operation Radix is non comparison Data type: queue, array

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Radix Explained Assume we have unsorted array of numbers 12,4, 376, 390, 87,6, 17
LSD Add zero to form uniform digit length on all numbers. 0 12, 00 4, 376, 390, 0 87, 00 6, 0 17 1 2 3 0 4 5 6 7 8 9

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For the first round sort the right most digit into its respective conatiner 0 1 2 , 00 4 , 37 6 , 39 0 , 0 8 7 , 00 6 , 0 1 7 1 2 3 0 4 5 6 7 8 9 0 12 00 4 376 390 0 87 00 6 0 17 The new formed array becomes 390, 012, 004, 376, 006, 087, 017
For the second round sort the second right most digit of the new array into its respective container 3 9 0, 0 1 2, 0 0 4, 3 7 6, 0 0 6,0 8 7, 0 1 7 1 2 3 0 4 5 6 7 8 9 The new formed array becomes 004, 006, 012, 017, 376, 087, 390 3 9 0 0 1 2 0 0 4 3 7 6 0 0 6 0 8 7 0 1 7

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• Spring '18
• Prof. Githeko

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