26 May 2022:
Assignment :
Decimal, Octal, Hexa and Binary system.
Link for Revising numbering system
Class Work:
Decimal system:
Symols : 0 9 = 10 symbols
0 .. 8 9 10
345
5 5 x 10^0
40 4 x 10^1
300 3 x 10 ^2
Octal :
Symbols : 0 ... 6, 7, 10
345(8)
5 5 x 8^0 = 5
4 4 x 8^1 = 32
3 3 x 8^2 = 192 = 229(10)
HexaDecimal : 16
Symbols : 0... 7, 8, 9, A, B, C, D, E, F, 10
345(16)
5 5 x 16^0 = 5
4 4 x 16^1 = 64
3 3 x 16^2 = 768
4A(16)
A = 10 x 16^0 = 10
4 = 4 x 16^1 = 64 74(10)
35
A5
Binary
Symbols : 0 1
1111(2)
1 = 1 x 2^0 = 1
1 = 1 x 2^1 = 2
1 = 1 x 2^2 = 4
1 = 1 x 2^3 = 8
Bit = 0 1 off on
8 bits = Byte
1024 bytes = 1KB
1024 kb = 1 MB
1024 MB = 1 GB
1024 GB = 1 TB
Byte = 0000 0000 = 0 8bits
1111 1111 = 255
ASCII 0 to 127
9 bits = 512
10 1024
11 2048
UniCode
2 Bytes : 2^16 = 65535
signed bytes
Byte = 000 0000 = 0
111 1111 = 127
0 to 127
-1 to -128
1
2
4
8
16
32
64
128 0 to 255
1 2 4 8 16 32 64 128 256 512 1024
123456
000 = 0
111 = 1 + 2 + 4 = 7
1111 = 1 + 2 + 4 + 8 = 15
A 3 =
1111 1111 FF
1111 1111 1111 1111 = FFFF
AB34
4 = 0100
3 = 0011
B = 1011
A = 1010
FF
F = 15
F = 15 * 16^1
FFFF
F = 15
F = 15 * 16^1
F = 15 * 16^2
F = 15 * 16^3
41(16)
1 = 1
4 = 64 = 65
61(16)
1
6 = 96
97
Difference = 32
+32
-32
1 byte = 8 bits = 0 to 255
2 bytes = 16 bits = 65
