NUMBER REPRESENTION - created from Mind Map

Page 1

BASES

DEC (10)

BIN (2)

OCTAL (8)

HEX (16)

CONVERSIONS

INTEGER

FRACTIONAL

TO DEC MULTIPLY BY INCREASING POWERS

TO BASE DIVISION BY BASE

TO DEC MULTIPLY BY DECREASING POWER

TO BASE MULTIPLY BY BASE

FLOATING POINT

EXPONENT & MANTISSA

PROBLEM

IMPOSSIBLE TO REPRESENT PERFECT ZERO

PRECISION

NORMALISATION

NEGATIVE NUMBERS

S&M

1's COMP

2's COMP

PROBLEMS WITH S&M AND 1's COMP

DOUBLE REPRESENTION OF ZERO

NOT GOOD FOR ADDITION

RANGES OF NUMBERS

UNSINGED

1's COMP AND S&M

2's COMP

CODES

BCD

ACSII

EBCDIC

MATHEMATICAL OPERATIONS

DIVISION (/)

MULTIPLICATION (x)

SUBTRACTION (-)

ADDITION (+)

SUBTRACTION USING COMPLEMENTS

PROBLEM

OVERFLOW

0 ~ +(2^(n))-1

-(2^(n-1)-1) ~ +(2^(n-1)-1)

-(2^(n-1)) ~ +(2^(n-1)-1)

NUMBERREPRESENTION

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