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Number system discussion 11/27/2022

Binary number system

Binary is base 2 number system
Digits: 0,1
27 26 25 24 23 22 21 20
2x2x2x2x2x2x2 2x2x2x2x2x2 2x2x2x2x2 2x2x2x2 2x2x2 2x2 2 1
128 64 32 16 8 4 2 1
0 0 1 0 0 1 0 0
0 0 0 32 0 4 0 0

Example
Binary number 00100100 is equal to decimal number 36

Decimal number system

Decimal is base 10 number system
Digits: 0,1,2,3,4,5,6,7,8,9
107 106 105 104 103 102 101 100
10x10x10x10x10x10x10 10x10x10x10x10x10 10x10x10x10x10 10x10x10x10 10x10x10 10x10 10 1
10,000,000 1,000,000 100,000 10,000 1,000 100 10 1
0 0 0 0 0 2 3 6
0 0 0 0 0 200 30 6

Example
Decimal number 236

Octal number system

Octal is base 8 number system
Digits: 0,1,2,3,4,5,6,7

Hexadecimal number system

Hexadecimal is base 16 number system
Digits: 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f
167 166 165 164 163 162 161 160
16x16x16x16x16x16x16 16x16x16x16x16x16 16x16x16x16x16 16x16x16x16 16x16x16 16x16 16 1
268,435,456 16,777,216 1,048,576 65,536 4,096 256 16 1
0 0 0 0 a e 3 4
0 0 0 0 40,960 3,584 48 4

Example
Hexadecimal number 0xea34 is equal to decimal number 44,596
EA3416 is equal to 44,59610