# hexadecimal

nitin sharma

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Posts: 290

Percy Densmore

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Posts: 214

sai challa

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Posts: 54

posted 15 years ago

1.To find the hexadecimal number of a given decimal:

Divide the decimal number by 16,divide the quotient obtained

by 16 and store the remainder at each step.keep dividing the quotient by 16 at each step until quotient becomes 0.The remainders at each step taken in reverse order is the hexadecimal number.I would like to illustrate with an example.

decimalno:=1000

1.dividend1=1000 divisor=16 quotient1=62 remainder1=8

Now for the second step dividend2=quotient1

2.dividend2=62 divisor=16 quotient2=3 remainder2=E(decimal 14=hexadecimal E)

3.dividend3=quotient2=3 divisor=16 quotient3=0 remainder3=3

since quotient3=0 the hexadecimal number for 1000=(remainder3 remainder2 remainder1)

=(3E8)

To obtain the octal number of a decimal number repeat the above process by 8.

for 1000 the octal number would be:

1 dividend1=1000 divisor=8 quotient1=125 remainder1=0;

2.dividend2=quotient1=125 divisor=8 quotient2=15 remainder2=5

3. dividend3=quotient2=15 divisor=8 quotient3=1 remainder3=7

4.dividend4=quotient3=1 divisor=8 quotient4=0 remainder4=1

since quotient4=0 octalnumber=(remainder4 remainder3 remainder2 remainder1)=(1750)

Divide the decimal number by 16,divide the quotient obtained

by 16 and store the remainder at each step.keep dividing the quotient by 16 at each step until quotient becomes 0.The remainders at each step taken in reverse order is the hexadecimal number.I would like to illustrate with an example.

decimalno:=1000

1.dividend1=1000 divisor=16 quotient1=62 remainder1=8

Now for the second step dividend2=quotient1

2.dividend2=62 divisor=16 quotient2=3 remainder2=E(decimal 14=hexadecimal E)

3.dividend3=quotient2=3 divisor=16 quotient3=0 remainder3=3

since quotient3=0 the hexadecimal number for 1000=(remainder3 remainder2 remainder1)

=(3E8)

To obtain the octal number of a decimal number repeat the above process by 8.

for 1000 the octal number would be:

1 dividend1=1000 divisor=8 quotient1=125 remainder1=0;

2.dividend2=quotient1=125 divisor=8 quotient2=15 remainder2=5

3. dividend3=quotient2=15 divisor=8 quotient3=1 remainder3=7

4.dividend4=quotient3=1 divisor=8 quotient4=0 remainder4=1

since quotient4=0 octalnumber=(remainder4 remainder3 remainder2 remainder1)=(1750)

nachiket deshpande

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Posts: 114

posted 15 years ago

Hi Nitin!

let me try if i can help you.

1)to convert decimal to octal

remember octal numbers are from 0 to 7 i.e.

decimal 0 is octal 0

decimal 1 is octal 1

......

......

decimal 7 is octal 7

if i want to convert 19 to octal i will devide 19 by 8 and write the remainders in reverse order to get a octal number.see how it happens

19/8 gives Quotient=2

Remainder=3

now devide 2(ie the Quotient) by 8

gives Quotient=0

Remainder=2

now writing remainders in reverse order gives octal number=23

19(in decimal)=23(in octal)

2)to convert decimal to hexadecimal

hexadecimal numbers run from decimal 0 to decimal 15.but written as 0,1,2,3,4,5,---9,A,B,C,D,E,F

to convert a decimal to hexadecimal devide the number by 16 and write the remainders in reverse order.lets take an example.

to convert decimal 49 in hexadecimal

49/16 gives Quotient=3

Remainder=1

deviding 3( ie Quotient) by 16

gives Quotient=0

Remainder=3

now write decimal in reverse order

49(in decimal)=31(in hexadecimal)

(remember you have to keep deviding the quotient by the divisor

till the quotient becomes zero)

hope this helps

let me try if i can help you.

1)to convert decimal to octal

remember octal numbers are from 0 to 7 i.e.

decimal 0 is octal 0

decimal 1 is octal 1

......

......

decimal 7 is octal 7

if i want to convert 19 to octal i will devide 19 by 8 and write the remainders in reverse order to get a octal number.see how it happens

19/8 gives Quotient=2

Remainder=3

now devide 2(ie the Quotient) by 8

gives Quotient=0

Remainder=2

now writing remainders in reverse order gives octal number=23

19(in decimal)=23(in octal)

2)to convert decimal to hexadecimal

hexadecimal numbers run from decimal 0 to decimal 15.but written as 0,1,2,3,4,5,---9,A,B,C,D,E,F

to convert a decimal to hexadecimal devide the number by 16 and write the remainders in reverse order.lets take an example.

to convert decimal 49 in hexadecimal

49/16 gives Quotient=3

Remainder=1

deviding 3( ie Quotient) by 16

gives Quotient=0

Remainder=3

now write decimal in reverse order

49(in decimal)=31(in hexadecimal)

(remember you have to keep deviding the quotient by the divisor

till the quotient becomes zero)

hope this helps

nitin sharma

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Posts: 290

posted 15 years ago

hello nachiket,

Thank's a lot,U make's handling of bit's, binary,hexa, octa etc look's very easy.I get the feeling whenever i am in trouble in handling bit's i should alway's contact u.

I wish that i should get atleast two to three question's on hexa and octa in the exam.

Once again,Thanks' a lot.

Thank's a lot,U make's handling of bit's, binary,hexa, octa etc look's very easy.I get the feeling whenever i am in trouble in handling bit's i should alway's contact u.

I wish that i should get atleast two to three question's on hexa and octa in the exam.

Once again,Thanks' a lot.