Urgent Help

[bala_chocos]

hi
please explain the answer for the question given below
Q5:Given two int variables initialized as follows:
int a=63;// bit pattern //////
int b=4;// bit pattern 000100
what is the value of a&b.
a).63
b).4
c).null
d).0
answer:b

[schandu999]

63= 111111111111111111111 (bin)
& (binary & operator)
4= 00000000000000000100 (bin)
------------------------------
000000000000000000100 = 4
as 1&1=1
1&0=0
0&1=0
0&0=0

[bala_chocos]

hi champak
how are you converting 63 into binary numbers
iam in problem
thanks in adv

[kannan_al]

hi friend,
To convert 63(decimal) to a binary number(in 2's Complement):
63 = 0011 1111

= 1*2^5+1*2^4+1*2^3+1*2^2+1*2^1+1*2^0
= 63

hope, you got it.
kannan.

[Vishakha Ahuja]

It's very easy to convert a decimal number to binary....
Just divide the given +ve decimal number by 2. Again divide the quotient with 2 repeatedly until you get quotient as zero.
Then collect the remainders (which is either 1 or 0) and line them up in the reverse order i.e. right to left. Add zero's to fill up the remaining places.
Example 1:
2)63(31 2)31(15 2)15(7 2)7(3 2)3(1 2)1(0
62 30 14 6 2 0
--- --- --- -- -- --
1 1 1 1 1 1
so: 63 = 0011 1111
Example 2:
2)4(2 2)2(1 2)1(0
4 2 0
-- -- --
0 0 1
so:4 = 0000 0100

[Vishakha Ahuja]

Sorry about the apperance of division in the above reply, I tried some formatting to make it look like division (in maths text book)
But, you see all my spaces have been collapsed....... Hope the above makes sense.

[bala_chocos]

hi
still u are confusing
champak told me like
63=11111111
but vishak telling like this
63=00111111
Please explain help me

[Rong Chen]

63 should be 0011 1111b
but, guys, it's SCJP, isn't it?

[softie]

Hi Bala,
the answer is 4
a = 63 = 0011 1111
b = 4 = 0000 0100
a&b =4 = 0000 0100
Thats as simple as that.
Cheers,
Softie

[Stephanie Grasson]

bala_chocos,
vishak is right.
63 decimal = 00111111 binary.
When you convert to binary, the same principles apply as in decimal numbers.
Start with the decimal number 63.
There is nothing in the hundredes position, a 6 in the tens position and a 3 in the ones position.
So we get
(6 * (10^1)) + (3 * (10^0)) =
(6 * 10) + (3 * 1) = 63.
The same logic applies for binary, but now instead of going by powers of 10 we go by powers of 2. Instead of having ones, tens, hundreds, thousands, etc. positions, we have ones, twos, fours, eights, sixteens, etc. positions.
So, getting back to the decimal number 63. In binary we have:
0 in the sixty-fours position
1 in the thirty-twos position
1 in the sixteens position
1 in the eights position
1 in the fours position
1 in the twos position
1 in the ones position
So:
(1 * (2^5)) +
(1 * (2^4)) +
(1 * (2^3)) +
(1 * (2^2)) +
(1 * (2^1)) +
(1 * (2^0)) =
(1 * 32) + (1 * 16) + (1 * 8) + (1 * 4) + (1 * 2) + (1 * 1) = 63;
00111111 binary = 63 decimal
Hope this helps.
Stephanie

[Ira Jain]

Thank you Vishakha and Stephanie for explaining how to convert decimal numbers into binary numbers so nicely .It has really cleared up by fundas.
Thanks
Ira
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