Raghav Mathur

Ranch Hand

Posts: 641

posted 15 years ago

hi

i,am confused about the integral literals .

To express 28 ( which is expressed in decimal ) in octal , we can prefix the literal with

0(zero). To indicate 28 to hexadecimal we prefix it 0X or 0x.

please explain how 28 when expresses on octal becomes 034

and how 28 when expressed in hexadecimal becomes 0x1c.

thanks in advance

regards

raghav...

i,am confused about the integral literals .

To express 28 ( which is expressed in decimal ) in octal , we can prefix the literal with

0(zero). To indicate 28 to hexadecimal we prefix it 0X or 0x.

please explain how 28 when expresses on octal becomes 034

and how 28 when expressed in hexadecimal becomes 0x1c.

thanks in advance

regards

raghav...

Raghav.

swapna sivaraju

Ranch Hand

Posts: 75

posted 15 years ago

Hi

To convert a decimal number to octal we do something like this--

see the representation of 28 in binary is--

let byte b=28;

then,28--00011100

now--split the above into 3 fragaments (for octal) each starting from back..ie.

000 011 100

1 2 3

now do the same as we do to convert the above binary to decimal..ie.

1 represents--0 (2^2*0+2^1*0+2^0*0)

2 represents--3--(2^2*0+2^1*1+2^0*1)

3represents-- 4 (2^2*1+2^1*0+2*2^0*0)

so now that's how we get 034 as octal representation for 28 .

for converting to hexa fragament the binary representation into 4 parts each and calculate.

ie. --0001 1100

1 2

1 ---2^0*1 = 1

2--- 2^3*1+2^2*1+0+0 = 12

and for hexadecimal we represent 12 as c

(10-15 are represented by a-f)

so the hexa value is 0x1c

hope this helps.

swapna

To convert a decimal number to octal we do something like this--

see the representation of 28 in binary is--

let byte b=28;

then,28--00011100

now--split the above into 3 fragaments (for octal) each starting from back..ie.

000 011 100

1 2 3

now do the same as we do to convert the above binary to decimal..ie.

1 represents--0 (2^2*0+2^1*0+2^0*0)

2 represents--3--(2^2*0+2^1*1+2^0*1)

3represents-- 4 (2^2*1+2^1*0+2*2^0*0)

so now that's how we get 034 as octal representation for 28 .

for converting to hexa fragament the binary representation into 4 parts each and calculate.

ie. --0001 1100

1 2

1 ---2^0*1 = 1

2--- 2^3*1+2^2*1+0+0 = 12

and for hexadecimal we represent 12 as c

(10-15 are represented by a-f)

so the hexa value is 0x1c

hope this helps.

swapna

SCPJ2

Corey McGlone

Ranch Hand

Posts: 3271

posted 15 years ago

We're changing bases here, Raghav. We see 28 in decimal but, in octal, that is 34. You see, to get the value of a number, you take each digit and multiply by the base to the power of the position. Let's look at decimal to begin with:

You can perform a similar operation in the other bases, such as octal (base 8) or hexadecimal (base 16) or binary (base 2):

If you do a search in this forum, I'm sure you'll find all sorts of information on changing base.

Corey

Originally posted by raghav mathur:

hi

i,am confused about the integral literals .

To express 28 ( which is expressed in decimal ) in octal , we can prefix the literal with

0(zero). To indicate 28 to hexadecimal we prefix it 0X or 0x.

please explain how 28 when expresses on octal becomes 034

and how 28 when expressed in hexadecimal becomes 0x1c.

thanks in advance

regards

raghav...

We're changing bases here, Raghav. We see 28 in decimal but, in octal, that is 34. You see, to get the value of a number, you take each digit and multiply by the base to the power of the position. Let's look at decimal to begin with:

You can perform a similar operation in the other bases, such as octal (base 8) or hexadecimal (base 16) or binary (base 2):

If you do a search in this forum, I'm sure you'll find all sorts of information on changing base.

Corey

Raghav Mathur

Ranch Hand

Posts: 641

posted 15 years ago

hi

thanks a lot for responding . I,am not very comfortable with the explaination you gave

I've got the thumb rule , that for converting decimal to octal we are suppose to

divide the binary representation of 28 (00011100) into 2 parts . I,am confused

about the calculation which you've done . i.e , how does 1 represents 0 ,

2 represents 3 and 3 represents 4 .

Moreover , convertin decimal to hex , how does 1 represents 1 and 2 represents 12.

please exlplain in detail .

thanks for your patience

regards

raghav mathur

thanks a lot for responding . I,am not very comfortable with the explaination you gave

I've got the thumb rule , that for converting decimal to octal we are suppose to

divide the binary representation of 28 (00011100) into 2 parts . I,am confused

about the calculation which you've done . i.e , how does 1 represents 0 ,

2 represents 3 and 3 represents 4 .

Moreover , convertin decimal to hex , how does 1 represents 1 and 2 represents 12.

please exlplain in detail .

thanks for your patience

regards

raghav mathur

Originally posted by swapna sivaraju:

Hi

To convert a decimal number to octal we do something like this--

see the representation of 28 in binary is--

let byte b=28;

then,28--00011100

now--split the above into 3 fragaments (for octal) each starting from back..ie.

000 011 100

1 2 3

now do the same as we do to convert the above binary to decimal..ie.

1 represents--0 (2^2*0+2^1*0+2^0*0)

2 represents--3--(2^2*0+2^1*1+2^0*1)

3represents-- 4 (2^2*1+2^1*0+2*2^0*0)

so now that's how we get 034 as octal representation for 28 .

for converting to hexa fragament the binary representation into 4 parts each and calculate.

ie. --0001 1100

1 2

1 ---2^0*1 = 1

2--- 2^3*1+2^2*1+0+0 = 12

and for hexadecimal we represent 12 as c

(10-15 are represented by a-f)

so the hexa value is 0x1c

hope this helps.

swapna

Raghav.

Marilyn de Queiroz

Sheriff

Posts: 9079

12

posted 15 years ago

28 / 8 =

28 / 16 =

**please explain how 28 when expresses on octal becomes 034**

and how 28 when expressed in hexadecimal becomes 0x1c.and how 28 when expressed in hexadecimal becomes 0x1c.

28 / 8 =

**3**remainder

**4**

**3*** 8^1 +

**4*** 8^0

28 / 16 =

**1**remainder

**12**

**1*** 16^1 +

**12**(notatated as 'c' in hexadecimal) * 16^0.

JavaBeginnersFaq

"Yesterday is history, tomorrow is a mystery, and today is a gift; that's why they call it the present." Eleanor Roosevelt

swapna sivaraju

Ranch Hand

Posts: 75

posted 15 years ago

oopss.... some typo error..

The representational for 28 is

00011100

the 3 parts are--

1) 000 which is 0

calculated as (0*2^2+0*2^1+0*2^0)

2) 011 which is 3

calculated as (0*2^2+1*2^1+1*2^0)

3) 100 which is 4

calculated as (1*2^2+0*2^1+0*2*2^0)

So now we get the octal form as 034 for 28.got it now??

i hope its clear now

swapna

The representational for 28 is

00011100

the 3 parts are--

1) 000 which is 0

calculated as (0*2^2+0*2^1+0*2^0)

2) 011 which is 3

calculated as (0*2^2+1*2^1+1*2^0)

3) 100 which is 4

calculated as (1*2^2+0*2^1+0*2*2^0)

So now we get the octal form as 034 for 28.got it now??

i hope its clear now

swapna

SCPJ2