Representations and conversions
a) write the digits for a base 20 system, using an exten...
Computers and Technology, 25.01.2020 02:31 hanjonez
Representations and conversions
a) write the digits for a base 20 system, using an extension of the same digit representation scheme employed for hexadecimal.
b) convert (2014)10 to base 20
c) convert (bci. g)20 to base decimal
Answers: 2
Computers and Technology, 22.06.2019 01:00
)a grad student comes up with the following algorithm to sort an array a[1..n] that works by first sorting the first 2/3rds of the array, then sorting the last 2/3rds of the (resulting) array, and finally sorting the first 2/3rds of the new array. 1: function g-sort(a, n) . takes as input an array of n numbers, a[1..n] 2: g-sort-recurse(a, 1, n) 3: end function 4: function g-sort-recurse(a, `, u) 5: if u â’ ` ≤ 0 then 6: return . 1 or fewer elements already sorted 7: else if u â’ ` = 1 then . 2 elements 8: if a[u] < a[`] then . swap values 9: temp â†a[u] 10: a[u] â†a[`] 11: a[`] â†temp 12: end if 13: else . 3 or more elements 14: size â†u â’ ` + 1 15: twothirds â†d(2 â— size)/3e 16: g-sort-recurse(a, `, ` + twothirds â’ 1) 17: g-sort-recurse(a, u â’ twothirds + 1, u) 18: g-sort-recurse(a, `, ` + twothirds â’ 1) 19: end if 20: end function first (5 pts), prove that the algorithm correctly sorts the numbers in the array (in increasing order). after showing that it correctly sorts 1 and 2 element intervals, you may make the (incorrect) assumption that the number of elements being passed to g-sort-recurse is always a multiple of 3 to simplify the notation (and drop the floors/ceilings).
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