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Class notes

Discrete Structures Exam 1 Notes

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8 pages
2024/2025 Written for academic year
Institution Northeastern University
Course CS1800
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Covers all the notes up until the first discrete structures exam (approximately 2 months worth of notes compiled) and covers concepts from permutations, principle of inclusion-exclusion, pigeonhole principle, binary and hexadecimal addition/multiplication, partitions, combinations, circuits, conditionals, and sets.

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, Binary Hexadecimal :

Binary (0 or 1) :




counted by powers of 2


CX : 1 00101 = 2 22
+ + 2
%
=
37
25223222128


Hexadecimal :
01234567891011 12 13 14 15

0123454789ABCDEF



eX : BED =
(13 -
10 % +
(14 14) (11 164)
.
+ .




162 Is 160



Converting Bases :




Euclid's Division :

·
Divide number by base * Note: Remainders are read bottom to
top
RemainderIs part of answer
·




·
Divide multiple by base ; repeat


ex: convert 735 into base 2 =
101101/III 2X: convert 735 into base 16
735 : 2 =
367RIN 735 : 16 =
45R15 S


347 = 2 =
183R/ 4 5 : 16 = 2 r13
183 : 2= :
91R/ 2 16 = 0 r2 ⑧


9) = 2 =
45R/
45 : 2 =
22R/ =
2DF
22: 2 =
11 RO
11 : 2 =
5 RI
5: 2 =
2 R/
2: 2 : 1 RO
1 : 2 =
0R1

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December 29, 2025
Number of pages
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Written in
2024/2025
Type
Class notes
Professor(s)
Hamlin, ariel
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