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base 10 = [0,1,2,3,4,5,6,7,8,9] => 10 options
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base 2= [0,1] => 2 options
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more numbers represented in base 10
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computer is complicated system of on and off gates
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opening and closing certain switches
goes in spots of 2(squared)
0000 => 0:1 => 8, 0:2 => 4, 0:3 => 2, 0:4 => 1
- 00 = 0
- 01 = 1
- 10 = 2
- 11 = 3
- 100 = 4
- 101 = 5
- 110 = 6
- 111 = 7
- 1000 = 8
- 1001 = 9
Binary to decimal
decimal to binary
for number 65 => odd
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65/2 = 32 => even
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32/2 = 16 => even
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16/2 = 8 => even
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4/2 = 2 => even
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2/2 = 1 => odd
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translates to: 1000001 where odd = 1 and even = 0
for number 43 => odd
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43/2 = 21 => odd
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21/2 = 10 => even
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10/2 = 5 => odd
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5/2 = 2 => even
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2/2 = 1 => odd
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translates to: 101011
0- 0000 1- 0001 2- 0010 3- 0011 4- 0100 5- 0101 6- 0110 7- 0111 8- 1000 9- 1001 A- 1010 B- 1011 C- 1100 D- 1101 E- 1110 F- 1111
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 0 = 1
- 1 + 1 = 10
- 1 + 1 + 1 = 11
101 +111
1100
11111 01110 +11111
1001100
0 - 0 = 0 1 - 0 = 1 0 - 1 = 1 1 - 1 = 0 1 - 1 - 1 = -1
101 -010
011