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5 10 .

;<8571 / /

101 2 .

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0 1323L465913-98.H)+!$ 13 ;M8591

;<8571 NAO @G8'13%C5 2V13 E ) 59165 2P!&%VM165M# ))( ) 5]/ O\A N,A /\A =A:ZA I\AAA \A-8

527 = (5 × 10 2 ) + (2 × 10 1 ) + 7

;<8571 @G8' 13%P 5 2V13 E ) 571U5 2V!?%VM 165<#$))() 5&/ OA N,A /A =A:ZA IAA

527 10 = (1 × 8 3 ) + (0 × 8 2 ) + (1 × 8 1 ) + (7 × 8 0 )

= 1017 8

;<8571 N @G8'13%C5 2V13 E ) 59165&/ OA NQA /A =\AYZA IAMA\A AC8A

A ;&A > A A :BA a

527 10 = (2 × 16 2 ) + (0 × 16 1 ) + 15

= 20F 16

;<8571 / @D8' 13%P 2P13 E ) 591 2V!&%P 165# ))( ) 5 2i93

527 10 = (1 × 2 9 ) + (0 × 2 8 ) + (0 × 2 7 ) + (0 × 2 6 ) + (0 × 2 5 ) +(0 × 2 4 ) + (1 × 2 3 ) + (1 × 2 2 ) + (1 × 2 1 ) + (1 × 2 0 )

= 1000001111 2

7 9 < <a5 /R31<

(6)

? ?

> !&B@A135 )+!& FW8571

F38571 NBO

Nm?VfE] J C pH

=

n b − 1

X

i=0

i ×

i

:<#G13E 2F 165 /

541 10 = (5 × 10 2 ) + (4 × 10 1 ) + (1 × 10 0 ) 541 8 = (5 × 8 2 ) + (4 × 8 1 ) + (1 × 8 0 )

^

!?E FD"1 #C1 L1323"4U571D 8.H)+!&J5 2V! 5 5 )XFF165 /

=

!

(

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b

#

$ %&'%)(*,+

:<#G13E 2F 165 /

;<8571

10

A

2

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D!&E FD 165# ) 43L1D 5

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= ;= 1 ( 8 7

2 20

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2 30

• 1

[ [ 138 7

2 40

8

FV) 5 7 N . ' 1 /1032 FIH54

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F38571 NBO

.

:M# ,N / > !?A@B13 *)X

13754 8

13 ;<8571

10 1

8

8 + 3 = 11 x

x

88 + 7 = 95 x 8

760 + 5 = 765

x 8

6120 + 4 = 6124 8

.

. % 13 8V2P2, )1$%D8 #$) "1'K 13E 1D

8' 1W%V

Nm?Mfh] J C prH

=

n b − 1

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i=0

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i ×

;<8571

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= (1 × 4096) + (3 × 512) + (7 × 64) + (5 × 8) + (4 × 1)

= 6124

(8)

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FW8591

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2 2

2

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:M# ,N / > !?A@B13 *)X NJ/WZ 13 ;<8571 I

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NI /VI = N/PI /CI NJ/PI /PI I N

1 × 3125 = 3125

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4 × 625 = 2500

0165 1 Z 8,8

3 × 125 = 375

0 165 1 N/ Z

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0 165 1 / Z

4 × 5 = 100

0 165 1 Z

4 × 1 = 4

0165 1 O

6124 10 = 143444 5

.

:M# , / / > !?A@B13 *)X NPN.Z 13 ;<8571 /

NJ/ 3Z =P/ N Z / N

1 × 64 = 64

0 165 1 I O

1 × 32 = 32

0 165 1 N

1 × 16 = 16

0 165 1 /

0 × 8 = 0

0165 1 /

0 × 4 = 0

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1 × 2 = 2

0165 1 O

0 × 1 = 2

0165 1 O

114 10 = 1110010 2

(9)

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2 2 2

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:M# ,N / > !?A@B13 *)X NJ/WZ 13 ;<8571 I

5

5

5 244

48 5

9 5

4 1 3

4 1224

6124 4

4

LSB

MSB

6124 10 = 143444 5

.

:M# , / / > !?A@B13 *)X NPN.Z 13 ;<8571 /

LSB

2

2

2

2

2 114

57 0

28 1

14 0

7 0

3

1 2

1 1 MSB

114 10 = 1110010 2

(10)

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8151 10

13 ;M8591

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A ;&A

> A A : A a 4

LSB

8151 16

16

16 509

7

31

1 13

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(11)

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16

'A8B# ;M8571

2 1

13 ;M8591

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11010111011000 2

OCO NPN O NBO N NCNAO N NAOCOVO

2

= I

16

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11010111011000 10

13 ;M8591

8

'A8B# ;M8571

2 1

13 ;M8591

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2

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8

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275331 8

13 ;M8591

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010 111 101 011 011 001 2

(12)

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!?E FD"165

a

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0.1 10

!&%

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13 ; ) 38W) "165

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2 2

2

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=

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165 2V!$) # 585 57!$'G):4U5 Z 'X389?%(1 FV) 8 23S65 Y8 @W) ($%F 1+ 59!?

. B B 1 2 B 3 B 4 B 5

1/2 1/4 1/8 1/16 1/32

0 × (1/2) = 0.0

0 165 1 O , N

0 × (1/4) = 0.0

0 165 1 O , N

0 × (1/8) = 0.0

0 165 1 O , N

1 × (1/16) = 0.0626

0165 1 O , OV= WZ

1 × (1/32) = 0.03125

0165 1 O , OCO NI

0 × (1 / 64) = 0

0 165 1 O ,XOPO N-I

. . .

0 . 1 10 = 0 . 000110 . . . 2

< / 4 <

8 QST8B' H):!? #C4'G)XE 8' 1

0.1 10

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2 2 2

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0 . 1 10

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...

MSB

LSB

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.

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0 . 375 10

1W ; ) W8W) "1

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0 . 375 10 = 0 . 011 . . . 2

(14)

?? ? ? ?

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:M# , / > !?E E 13 "1323"465913- 13

114.1 10

1W ; ) W8W) "1

. 8 @ % &%D1

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A

1 ?%G1

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!&D'

114.1 10 = 1110010.000110011 2

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:M# , / > !?E E 13 "1323"465913- 13

527.375 10

13 ; ) 38W) "1

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527 10 = 1000001111 2

A

1 ?%G1

0 . 375 10 = 0 . 011 2

!&D'

527.375 10 = 1000001111.011 2

> 1:8 = 8(L'D1 2V!?%V !?% 1 165 F3857165 , , ,

.

:M# , / > !?E E 13 "1323"465913- 13

527 . 375 10

13 ;<8571

8

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A

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0.375 10

13 ;<8571

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...

)

( .0 x 8 = 0

!&D'

527.375 10 = 1017.3 8

(15)

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10

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0 . 1 9 9 9 . . . 16

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8.H):!?,

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'!&D#V165 2C% ) 5E %,H)X2F )+4 238G :8@G8' 13%C

1/10 = 1/2 4 + 1/2 5 + 1/2 8 + 1/2 9 + .... = (0.000110011001 . . .) 2

5 !$'?*4 # 8 B5

%P L1 ( )5 K"1 #C1

24

F ) 5*.,

I

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7

(0 . − 23 × 0 − 11001100 ... ) 2

!&%

(0.000000095) 10

, T ! ) %PD1 13 "13%P !398' 1

= ² × 100 × 60 × 60 × 10 = 0.34

571'!&G#V165A,

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