Konvertime (Binar,Octal,Hexadecimal)

7/17/2019 Konvertime (Binar,Octal,Hexadecimal)

1/13

South East European University

Hyrje n shkencat kompjuterikeDetyra 4: Nga 4 shembuj per cdo konvertim

Punoi: Shaban Dibra Mentor: Azir Aliu

ID: 124372

CST, Skopje 12/10/2015
http://www.seeu.edu.mk/sq/faculties/cst/cst-study-programmes?id=10http://www.seeu.edu.mk/sq/faculties/cst/cst-study-programmes?id=10


2/13

1. Decimal -> Binar

Decimal:1998

4096 2048 1024 512 256 128 64 32 16 8 4 2 1

0 0 1 1 1 1 1 0 0 1 1 1 0

1998-1024=974;

974-512=462;

462-256=206 ;

206-128=78;

78-64=14;

14-8=6;

6-4=2;

2-2=0;

Decimal:3322

0 1 1 0 0 1 1 1 1 1 0 1 0

3322-2048=1274 ;

1274-1024=250;

250-128=122;

122-64=58;

58-32=26;

26-16=10;

10-8=2;

2-2=0

Decimal:1234

0 0 1 0 0 1 1 1 1 1 0 1 0

1234-1024=210; 210-128=82; 2-2=0

82-64=18; 18-16=2;

Decimal:1212

0 0 1 0 0 1 0 1 1 1 1 0 0

1212-1024=188

188-128=60

60-32=28

28-16=12

12-8=4

4-4=0


3/13

1.2 Decimal -> Oktal

Decimal:1998

NUMRI DECIMAL OPERACIONI HERSI MBETJA N.OKTAL

1998 8 = 249 6 6

249 8 = 31 1 1

31 8 = 3 7 7

3 8 = / 3 3

1998 8 = 249 ; 249 x 8 = 1992 ; 1998-1992= 6

249 8 = 31 ; 31 x 8 = 248 ; 249-248=1

31 8 = 3; 3 x 8 = 24; 31-24= 7

3 8 = /;

Decimal:3322


3322 8 = 415 2 2

415 8 = 51 7 7

51 8 = 6 3 3

6 8 = / 6 6

Decimal:1234

NUMRI DECIMAL OPERACIONI HERSI MBETJA N.OKTAL1234 8 = 154 2 2

154 8 = 19 2 2

19 8 = 2 3 3

2 8 = / 2 2

Decimal:1212


1212 8 = 151 4 4151 8 = 18 7 7

18 8 = 2 2 2

2 8 = / 2 2


4/13

1.3 Decimal -> Hexadecimal

Decimal: 1998

NUMRI DECIMAL OPERACIONI HERSI MBETJA N.HEXADECIMAL

1998 16 = 124 14 E124 16 = 7 12 C

7 16 = / 7 7

1998 16 = 124; 124 x 16=1984; 1998-1984=14

124 16 =7; 7x16=112; 124-112=12

7 16= /

Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F

Decimal: 3322


3322 16 = 207 10 A

207 16 = 12 15 F

12 16 = / 12 C

Decimal: 1234


1234 16 = 77 2 2

77 16 = 4 13 D

4 16 = / 4 4

Decimal: 1212


1212 16 = 75 12 C

75 16 = 4 11 B

4 16 = / 4 4


5/13

2. Binar -> Decimal

Shifra Binare:

Shifra Binare Operacioni Rezulati Decimal Operacioni Rezultati Decimal

+1 1 X 2 2

+1 3 X 2 6

+1 7 X 2 14

+1 15 X 2 30

+1 31 X 2 62

0 62 X 2 124

0 124 X 2 248

+1 249 X 2 498

+1 499 X 2 998

+1 999 X 2 1998

+1 1998 - 1998

Shifra Binare:

12+12+12+12+12+02+12+12+12+12+12 = 2015

1024+512+256+128+64+0+16+8+4+2+1= 2015

Shifra Binare:

1 1 1 0 1 1 0 1 0 1 0 1 1

4096 2048 1024 0 256 128 0 32 0 8 0 2 1

4096+2048+1024+256+128+32+8+2+1= 7595

Shifra Binare:

1 1 1 0 1 1 1 1 0 0 0

1024 512 256 0 64 32 16 8 0 0 0

1024+512+256+64+32+16+8=1912


6/13

Binar-> Oktal

Shifra Binare: )

011 111 001 110

421 421 421 4212+1 4+2+1 1 4+2

3 7 1 6

Shifra Binare: )

011 111 011 111

421 421 421 421

2+1 4+2+1 2+1 4+2+13 7 3 7

Shifra Binare: )

001 110 110 101 011

421 421 421 421 4211 4+2 4+2 4+1 2+1

1 6 6 5 3

Shifra Binare: )

011 101 111 000421 421 421 421

2+1 4+1 4+2+1 0

3 5 7 0


7/13

Binar->Hexadecimal

Shifra Binare: (0111 1100 1110)

0 1 1 1 1 1 0 0 1 1 1 0

8 4 2 1 8 4 2 1 8 4 2 1

0+4+2+1 8+4+0+0 8+4+2+0

7 12 14

Shifra Binare: (0111 1101 1111)

0 1 1 1 1 1 0 1 1 1 1 1

8 4 2 1 8 4 2 1 8 4 2 1

0+4+2+1 8+4+0+1 8+4+2+1

7 13 15

Shifra Binare: (0001 1101 1010 1011)

0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1

8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1

1 8+4+1 8+2 8+2+1

1 13 10 11

Shifra Binare: (0111 0111 1000)

0 1 1 1 0 1 1 1 1 0 0 0

8 4 2 1 8 4 2 1 8 4 2 1

0+4+2+1 0+4+2+1 8+0+0+0

7 7 8


8/13

Oktal -> Decimal

Numri :

3 1 1 4

512x3=1536 64x1=64 8x1=8 1x4=4

1536+64+8+4= 1612

Numri :

3 7 1 6

512x3=1536 64x7=448 8x1=8 1x6=6

1536+448+8+6= 1998

Numri :

1 6 6 5 3

4096x1=4096 512x6=3072 64x6=384 8x5=40 1x3=3

4096+3072+384+40+3=7595

Numri :

3 5 7 0

512x3=1536 64x5=320 8x7=56 1x0=0

1536+320+56+0=1912


9/13

Oktal->Binar

Numri :

3 1 1 4

421 421 421 421

011 001 001 100

Numri :

3 7 1 6

421 421 421 421

011 111 001 110

Numri :

1 6 6 5 3

421 421 421 421 421

001 110 110 101 011

Numri :

3 5 7 0

421 421 421 421

011 101 111 000


10/13

Oktal-> Hexadecimal

Numri : , Ne fillim e kthejm ne binar pastaj ne hexadecimal, ne I kemi kthyer tek

detyra e me siperme ne binar keshtu qe vazhdojm direkt

0 1 1 0 0 1 0 0 1 1 0 0

8 4 2 1 8 4 2 1 8 4 2 1

0+4+2+0 0+4+0+0 8+4+0+0

6 4 12

Numri : (

0 1 1 1 1 1 0 0 1 1 1 0

8 4 2 1 8 4 2 1 8 4 2 1

0+4+2+1 8+4+0+0=12 8+4+2+0=14

7 12 14

Numri : ( )

0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1

8 4 2 1 8 4 2 1 8 4 2 1 8 4 2 1

1 8+4+1 8+2 8+2+1

1 13 10 13

Numri : (

0 1 1 1 0 1 1 1 1 0 0 0

8 4 2 1 8 4 2 1 8 4 2 1

4+2+1 4+2+1 8

7 7 8


11/13

Hexadecimal -> Decimal

Shifra:

9 6 C

256 16 1256x9=2304 16x6=96 12x1=12

2304+96+12=2412

Shifra:

6 4 C

256 16 1

256x6=1536 16x4=64 12x1=12

1536+64+12=1612

Shifra:

7 C E

256 16 1

256x7=1792 16x12=192 14x1=141792+192+14=1998

Shifra:

7 7 8

256 16 1

256x7=1792 16x7=112 8x1=8

1792+112+8=1912


12/13

Hexadecimal -> Binar

Shifra:

9 6 C(12)

8 4 2 1 8 4 2 1 8 4 2 1

1 0 0 1 0 1 1 0 1 1 0 0

Shifra:

6 4 C(12)8 4 2 1 8 4 2 1 8 4 2 1

0 1 1 0 0 1 0 0 1 1 0 0

Shifra:

7 C(12) E(14)

8 4 2 1 8 4 2 1 8 4 2 1

0 1 1 1 1 1 0 0 1 1 1 0

Shifra:

7 7 8

8 4 2 1 8 4 2 1 8 4 2 1

0 1 1 1 0 1 1 1 1 0 0 0


13/13

Hexadecimal -> Oktal

Shifra:

Ne fillim e kthejm ne binar por ne tashme e kemi kthyer ne binar tek detyra siper qe dmth:

100 101 101 100421 421 421 421

4 4+1=5 4+1=5 4

4 5 5 4

Shifra:


011 001 001 100

421 421 421 421

2+1=3 1 1 4

3 1 1 4

Shifra:


011 111 001 110

421 421 421 421

2+1=3 4+2+1=7 1 4+2=6

3 7 1 6

Shifra:

011 101 111 000

421 421 421 421

2+1=3 4+1=5 4+2+1=7 0

3 5 7 0

Documents

Konvertime (Binar,Octal,Hexadecimal)