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CONVERSION BEETWEEN OCTAL AND BINARY BY TWO METHODS

Conversion Octal To Binary:
We can Convert Octal number into binary no by two methods:-
1. Convert Octal to Decimal and again Convert Decimal into Binary.
Ex-  (256)8=(?)2
Sol.  Convert it in Decimal
         (256)8
        =2x82 + 5x81 + 6 x 80
        =2x64+5x8+6x1
        =128+40+6
        = (174)10
          Now Convert it into Binary,
2
174
R
2
87
0
2
43
1
2
21
1
2
10
1
2
5
0
2
2
1

1
0


(174)10=(10101110)2
2. Convert to Octal to Binary with the help of list.
Determine the value of each digit according to the geven list:
0=000
1=001
2=010
3=011
4=100
5=101
6=110
7=111
Steps:-
  • Write  the value of each Digit according the list.
  • The formed number is equivalent to Binary.
Ex-  (256)8=(?)2
Sol.  Convert it in Binary with the help of list.
         (256)8=(010101110)2
                      =(10101110)2
Conversion Binary To Octal:
We can Convert binary number into Octal no by two methods:-
1. Convert Binary to Decimal and again Convert Decimal into Octal.
Ex-  
(10101110)2=
= 1x27 + 0x26 +1x25 +0x24 + 1x23 + 1x22 + 1x21 + 0x20
=1x128+0x64 + 1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1
= 128+32+8+4+2
= (174)10
          Now Convert it into Octal,

8
174
R
8
21
6

2
5

(174)10=(256)8

 2. Convert to Binary to Octal with the help of list.
Determine the value of each digit according to the geven list:
0=000
1=001
2=010
3=011
4=100
5=101
6=110
7=111
Steps:-
  • Write  the value of each Digit according the list.
  • The formed number is equivalent to Binary.
Ex-  (10101110)2=(?)8
Sol.  Convert it in Octal with the help of list.
         (10101110)2
        =10  101  110
        =010  101  110 (Add '0' to make three digit)
        = (256)8
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Comments

  1. Sumit kumarJuly 12, 2020 at 11:15 AM

    Plese give the steps of binary to hexa decimal and hexa decimal to binary an 2s complement

    ReplyDelete
  2. Amit Kumar GuptaAugust 8, 2020 at 3:07 PM

    ya sure. Tqq Dear. Sry for late responce. I will update notes as soon as possible. TQ

    ReplyDelete

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