Suppose you are sorting 16 million 64-bit integers with Radix sort. Suppose you are doing a Radix-2 sort, i.e. Binary sort. You have done four passes on the four most significant bits. How many different combinations of those first four bits are there? Each number will end up in a group of numbers with the same first four bits. How many such groups will there be? About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after four passes of Radix-2 sort? @Yes ONO Suppose instead you do three passes of Radix-256 sort, i.e. sorting by byte columns, so that the 3 most significant bytes are sorted. About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after three passes of Radix-8 sort? Oves If you number the bytes of a 64-bit integer 1 through 8, with 1 being the most significant byte, and if you do 3 passes of LSD Radix-256 sort followed by a insertion sort, what column (byte) would you sort by first (1.8)? No

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Answer the given question with a proper explanation and step-by-step solution.

Suppose you are sorting 16 million 64-bit integers with Radix sort.
Suppose you are doing a Radix-2 sort, i.e. Binary sort. You have done four passes on the four most significant bits.
How many different combinations of those first four bits are there?
Each number will end up in a group of numbers with the same first four bits. How many such groups will there be?
About how many numbers will be in each group?
Would it be fast to do a pass of Insertion sort on the numbers after four passes of Radix-2 sort?
ⒸYes
ONO
Suppose instead you do three passes of Radix-256 sort, i.e. sorting by byte columns, so that the 3 most significant bytes are sorted. About how many numbers will be in each group?
Would it be fast to do a pass of Insertion sort on the numbers after three passes of Radix-8 sort?
OYes
If you number the bytes of a 64-bit integer 1 through 8, with 1 being the most significant byte, and if you do 3 passes of LSD Radix-256 sort followed by a insertion sort, what column (byte) would you sort by first (1..8)?
ONO
Transcribed Image Text:Suppose you are sorting 16 million 64-bit integers with Radix sort. Suppose you are doing a Radix-2 sort, i.e. Binary sort. You have done four passes on the four most significant bits. How many different combinations of those first four bits are there? Each number will end up in a group of numbers with the same first four bits. How many such groups will there be? About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after four passes of Radix-2 sort? ⒸYes ONO Suppose instead you do three passes of Radix-256 sort, i.e. sorting by byte columns, so that the 3 most significant bytes are sorted. About how many numbers will be in each group? Would it be fast to do a pass of Insertion sort on the numbers after three passes of Radix-8 sort? OYes If you number the bytes of a 64-bit integer 1 through 8, with 1 being the most significant byte, and if you do 3 passes of LSD Radix-256 sort followed by a insertion sort, what column (byte) would you sort by first (1..8)? ONO
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