introduction to numerical analysis i math/cmpsc 455 binary numbers
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Introduction to Numerical Analysis I
MATH/CMPSC 455
Binary Numbers
BINARY NUMBERS
Decimal system:Use digits 0,1,2,3,4,5,6,7,8,9 and base 10 to express numbers
Binary system:Use digits 0,1 and base 2 to express numbers
Example:
Example:
Example:
Example:
Decimal to Binary Integer part
Divide by 2 successively and record the reminders Fractional part
Multiply by 2 successively and record the integer parts
Binary to Decimal Integer part
Add up powers of 2 Fractional part
finite: Add up powers of 2 infinite:
1. Use the shift property of multiplication by 22. Add up powers of 2
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