Decimal Number
System
•
Ten
Digits, so it is said to be base 10
•
0,1,
2, 3, 4, 5, 6, 7, 8, 9
•
Ten
fingers
•
Each
position in the decimal system represents 10n
•
4567
= 7 X 100 + 6 X 101 + 5 X 102 + 4 X 103
Binary System
•
Two
digits, so it is base 2
•
0
and 1
•
0,1,10,11,100,101
etc
•
Each
position in a binary number represents 2n
•
Thus
10101= 1 X 20 + 0 X 21 + 1 X 22 +0 X 23
+ 1 X 24
Adding Binary Numbers
10011
1111
-------------------
100010
Subtraction Binary Numbers
101100
1111
-----a--------------------------------------------------
11101
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