Number System

     

    Chapter Three: Number System | HSEB Guides

     

    Detailed notes to follow soon…..

    CONVERSION TECHNIQUES:

    1.       Decimal to



    a.       Binary

    ®     /2 (Integer Part)

    ®     *2 (Decimal Part)

    b.      Octal

    ®     /8 (Integer Part)

    ®     *8 (Decimal Part)

    c.       Hexadecimal

    ®        /16 (Integer Part)

    ®        *16 (Decimal Part)

    2.       Binary to

    a.       Octal

    ®     Table (3-bit)

    b.      Decimal

    ®     *2
    For eg. (1011)2
    =1*23+0*22 +1*21+1*20

    c.       Hexadecimal

    ®        Table (4-bit)

    3.       Octal to

    a.       Binary

    ®     Table (3-bit)

    b.      Decimal

    ®     *8
    For eg. (2341)8
    =2*83+3*82 +4*81+1*80

    c.       Hexadecimal

    ®     Construct table of:

    Octal-Binary (3Bit)

    Binary-hexadecimal (4Bit)

    4.       Hexadecimal to

    a.       Binary

    ®     Table (4-bit)

    b.      Octal

    ®     Construct table of:

    Hexa-Binary (4Bit)

    Binary-Octal (3Bit)

    c.       Decimal

    ®     *16
    For eg. (12A8)2
    =1*163+2*162 +10*161+8*160

    1’s and 2’s Complement

    9’s and 10’s Complement