2019 , numbering systems , decimal system , binary , octal , hexadecimal by Eng. Osama Ghandour

1. Agenda = 80 min
Warm up 5 min
Converting between decimal and binary 5 m
On line quiz 10 min
Home work and Exit ticket 5 min
Student presentation 10 m
Converting between decimal and octal 5 m
Student presentation 10 m
Converting between decimal and hexadec 5 m
Student presentation 10 m
Converting between numbering systems 15 min

2. Classroom Norms 2
Classroom NormsClassroom Norms
Osama Ghandour Geris Assiut STEM School

3. What are the applications which
use computer systems ? Mention
3 applications
Warm up brain storm 2min
What is a computer ? Define it
How does a computer work?
Assiut STEM School Mr. Osama Ghandour Computer Science

4. Hexadecimal system base 16
What are the numbering systems?
Decimal system base 10
Binary system base 2
Octal system base 8
Learn the concept
Assiut STEM School Mr. Osama Ghandour Computer Science

5. Convert fromDecimal system
To Binary systemand vise versa
Converting 3 min
Assiut STEM School Mr. Osama Ghandour Computer Science

6. From Decimal to Binary
Assiut STEM School Mr. Osama Ghandour Computer Science
31
1248163264128
11111000
1248163264128
16+8+4+2+1
11111

7. From Binary to Decimal
Assiut STEM School Mr. Osama Ghandour Computer Science
11111
01234567
11111
01234567
31
𝟏 ∗ 𝟐 𝟒
+𝟏 ∗ 𝟐 𝟑
+1∗ 𝟐 𝟐
+ 𝟏 ∗ 𝟐 𝟏
+1*𝟐 𝟎
16+8+4+2+1=

8. Example 2
Converting 3 min
Assiut STEM School Mr. Osama Ghandour Computer Science

9. From Decimal to Binary
Assiut STEM School Mr. Osama Ghandour Computer Science
52
1248163264128
001011000
1248163264128
32+16+4
𝟏𝟏𝟎𝟏𝟎𝟎 𝟐

10. From Binary to Decimal
Assiut STEM School Mr. Osama Ghandour Computer Science
01234567
110101
01234567
43
𝟏 ∗ 𝟐 𝟓
+ 𝟎 ∗ 𝟐 𝟒
+𝟏 ∗ 𝟐 𝟑
+0∗ 𝟐 𝟐
+ 𝟏 ∗ 𝟐 𝟏
+1*𝟐 𝟎
32+0+8+0+2+1=
𝟏𝟎𝟏𝟎𝟏𝟏 𝟐

11. Convert fromDecimal system
To Octal systemand vise versa
Converting 3 min
Assiut STEM School Mr. Osama Ghandour Computer Science

12. From Decimal to Octal
Assiut STEM School Mr. Osama Ghandour Computer Science
96
1864512…………
04100000
1864512…………
1*64+4*8
(𝟏𝟒𝟎) 𝟖

13. From Octal to Decimal
Assiut STEM School Mr. Osama Ghandour Computer Science
18645124096………
141000
1864512…………
97
𝟎 ∗ 𝟖 𝟓
+ 𝟎 ∗ 𝟖 𝟒
+𝟎 ∗ 𝟖 𝟑
+1∗ 𝟖 𝟐
+ 𝟒 ∗ 𝟖 𝟏
+1*𝟖 𝟎
0+0+0+64+32+1=
(𝟏𝟒𝟏) 𝟖

14. Convert fromDecimalsystem
To Hexadecimal systemandvise
versa
Converting 3 min
Assiut STEM School Mr. Osama Ghandour Computer Science

15. From Decimal to Hexadecimal
Assiut STEM School Mr. Osama Ghandour Computer Science
291
1162564096……………
32100000
1162564096…………
1*256+2*16+3*1
(𝟏𝟐𝟑) 𝟏𝟔

16. From Hexadecimal to Decimal
Assiut STEM School Mr. Osama Ghandour Computer Science
(𝟏𝟐𝟒) 𝟏𝟔
1162564096…………
421000
1162564096…………
292
𝟎 ∗ 𝟏𝟔 𝟒
+𝟎 ∗ 𝟏𝟔 𝟑
+1∗ 𝟏𝟔 𝟐
+ 𝟐 ∗ 𝟏𝟔 𝟏
+4*𝟏𝟔 𝟎
0+0+256+32+4=

17. Assiut STEM School Mr. Osama Ghandour Computer Science
1162564096……………
1115100000
1*256+F*16+B*1
D
C
H
X
10A
11B
12C
13D
14E
15F
(𝟏𝐅𝐁) 𝟏𝟔
𝟎 ∗ 𝟏𝟔 𝟑
+1∗ 𝟏𝟔 𝟐
+ 𝟏𝟓 ∗ 𝟏𝟔 𝟏
+11*𝟏𝟔 𝟎
507 0+256+240+11=
From Hexadecimal to Decimal

18. From Hexadecimal to Decimal
Assiut STEM School Mr. Osama Ghandour Computer Science
(𝟏𝐅𝐀) 𝟏𝟔
1162564096…………
10151000
1162564096…………
506
𝟎 ∗ 𝟏𝟔 𝟑
+1∗ 𝟏𝟔 𝟐
+ 𝟏𝟓 ∗ 𝟏𝟔 𝟏
+10*𝟏𝟔 𝟎
0+256+240+10=
D
C
H
X
10A
11B
12C
13D
14E
15F

19. Another way

20. Convert from
Hexadecimal
to binary
directly

21. Using calculator

22. What is happening inside a
computer ?

23. Now could you design
a 7 segment displayer
system for bank?

24. What is
happening
when you
press any
key ?

25. Ask me questions
Ask me questions
Assiut STEM School Mr. Osama Ghandour Computer Science

26. You will be divided in
4 groups LUXR ,
ASSIUT , CIRO , ALX.
XDecimal
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Design a table of decimal to XGroup
From decimal to BinaryLUXR
from decimal to OctalASSIUT
From decimal to
Hexadecimal
CIRO
????AlX
hexadecimaloctalbinarydecimal
0
….
15
AlX

27. 1-- convert a decimal nu. 15 to its
binary valueand mentionat least 3
methods for converting with
explanationof at least 2 methods .
Questions
Assiut STEM School Mr. Osama Ghandour Computer Science

28. Designa flowcharttoconvertfrom
decimalnumberto binarynumber?
Home work 1
Assiut STEM School Mr. Osama Ghandour Computer Science

29. 1-Writeaformulatoconvert anumber
inaformof(𝒏) 𝑥 toitsdecimalnumber?
2-Writeaformulatoconvertadecimal
numbertoanumberofBasey ?
Exit ticket 2 min
Assiut STEM School Mr. Osama Ghandour Computer Science

30. Develop a C program to
convert a decimal
number to Base x
number (N) 𝑥?
Home work 2

31. https://twitter.com/osamageris
https://www.linkedin.com/in/osamaghandour/
https://www.youtube.com/user/osmgg2
https://www.facebook.com/osama.g.geris
Osama Ghandour Geris Assiut STEM School
31Find me @

32. Thanks