EEE2046 Week 1 Board+Notes 1
EEE2046 Week 1 Board+Notes 1
EEE2046 Week 1 Board+Notes 1
In f Ii
g
SAMPLING
É
NUMBERSYSTEMI
20
COMBINATION
TIIYI.to
Of PREDEFNED
EEnnns
SYMBOLS
A VALUE USING A
101112
EACH POSITION REPRESENTS A Power of 2
the 1 25 1 24 0 23 1 22 1 21 1 20
1101112 1
32 16 to 4 2 1557
9i.IE
mg g
wit
X.EE
EDmEsaa XAMPLEO
m roundup I
roundup blog 5 Yg
roundup 5.78
6BIg
t
CONVERSIONTROMDECIMALTOBINTÉ
THERE ARE TWO MAIN APPROACHES
Sum of WEIGHTS
REPEATED DIVISION BY 2
m roundup logzD
di D 11 DIFFERENCE
0 11 QUOTIENT
qi DIGIT
bi O 11 BINARY
WHILE i 70 DO
dit di bix2
UPDATE LOOP COUNTER AND REPEAT
Fit
LEXAMPLET
CONVERT THE DECIMAL NUMBER 2046 TO B NARY
USING sum of WEIGHTS
m roundup loges
roundup log 046
roundup 10.998
Ilbits
n m I
11 I
D
In 10 j di D 2046 qi o bi o
i
t t
di D 11 DIFFERENCE
INDEX i
bi O 11 Binary DIGIT AT
qi 1 A QUOTIENT
Ti O U REMAINDER
WHILE di o Do
bi ri
UPDATE di
din qi
UPDATE LOOP COUNTER AND REPEAT
Fit
LEXAMPET
CONVERT THE DECIMAL NUMBER 2046 TO B NARY
USING REPEATED DIVISION BY 2
1 0 j di D 2046 qi 1 bio
i i
t
t
IHEXADECIMALNUMBERST
POSITIONAL NUMBER SYSTEM
BASE 16
16 SYMBOLS 0,1 2,3 4,516,7 8 9 A B C D E f
o Form of COMPRESSION
EXAMPLED
SCREE Digns
I logan
fog 1ft
4Bif
Ti T T
6 Fi 56
655
EE.si an
E 51 Aib 816
O TE J To T
1010 1100012
11101 010112
111001011010100012
EXAMPLED
THE FOLLOW.NL HEXADECIMAL NUMBER TO DECIMAL
CONVERT
ESA 8 I
It E to E
510 101 810
14.0
li E lt1sz1tlegioD 8gI
58797g
qq.es I TisE
I
70 BINARY
we conven
FROM DECIMAL
É
ADAPT 2 SUM of WEIGHTS AND
m
DECIMALFRACTIONSP
WE ARE VERY FAMILIAR WITH DECIMAL FRACTIONAL
REPRESENTATION
EXAMPLE
É
238 175
EXAMPLED
1110.181
É
WHAT IS THE DECIMAL EQUIVALENT 243
292
1
29 1 1 1 2 1 20 Ix 0 1
HMMENMMM.tt
EXAMPLED
WHAT
A
IS
10
A2
THE
IAF
DECIMAL EQUIVALENT
is
XKf
Fig 1510
10 16 15 16
2 160 1 16
10 16
0.0390625 0.003662109
160 2 0.0625
160.105224609W
IHOMEWORI
were out AN ALGORITHM 70 CONVERT
A DECIMAL FRACTION TO BINARY