Binary and Hexidecimal Numbering Systems

Topics: IP address, Decimal, Subnetwork Pages: 4 (284 words) Published: October 3, 2013
Binary and Hexadecimal Numbering Systems
Video Notes
Utilize other resources as you can
Khan Academy is excellent resource
Base 10 (Decimal or normal math)
0 represents nothing
1=1
2=2
3=3
4=4
5=5
6=6
7=7
8=8
9=9
10=10
Reuses symbols after 10 #’s
Base 2 (Binary)
0 or 1 (only two digits to represent everything, uses 20,1,2,3,4,etc.) 10=2 (one 2 and 0 ones)
1010=10 (0 ones, 1 two, 0 fours and 1 eight)
11=3 (one 1 and one 2)
100=4 ( one 4, 0 twos, and 0 ones)
101=5 (one 4 and one 1)
110=6 (one 4 and one 2)
111=7(one 4, one 2 and one 1)
So on and so forth

Limon’s Style for Binary
Start with 1 2 4 8 16 32 64 128 (all for networking, or continues) 256 512 1024 See what goes into the number
When you get two numbers, add them
Continue
126=1111110 (2+4+8+16+32+64=126)
42=101010 (2+8+32=42)
122=1111010 (2+8+16+32+64=122)
36=100100 (4+32=36)
18=10010 (2+16=18)
8=1000 (8=8)
10=1010 (2+8=10)
68=1000100 (64+4=68)
127=111111 (1+2+4+8+16+32+64=127)
64=1000000 (64)
10100101101=1325

Surroz’s Method (division)
Harder and how the chart does it
Hexadecimal: Limon’s Method:
0
1
2
3
4
5
6
7
8
9
A=10
B=11
C=12
D=13
E=14
F=15
Not just use these numbers/letters (0-15) in sets of four (4) to get the numbers you want (in sets of four that go 1 2 4 8) Convert to Binary first, if you must (from decimal)
Hex is ONLY the last four numbers, 1, 2, 4, 8)
Examples:
94CD=1001.0100.1100.1101
9=1001 (8+1=9)
4=0100 (4)
C (12)=1100 (8+4=12)
D (13)=1101 (8+4+1=13)

128-(through) 1 added up=255 which is why networking only goes up to 128 (8 digits) In Binary, if the number ends with a one (1) then the decimal number is odd (1, 3, 5, 7, 9, etc.)

Binary Examples:
526=1000001110 (512+8+4+2=526)
111=1101111 (64+32+8+4+2+1=111)
97=1100001 (64+32+1=97)
88=1011000 (64+16+8=88)
255=11111111 (128+64+32+16+8+4+2+1=255)
73=1001001 (64+8+1=73)
IP addresses go up to sixteen (16) million (IP addresses are related to Subnet Masking,...
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