Digital Electronics - Number Systems and Codes - Discussion

Discussion Forum : Number Systems and Codes - General Questions (Q.No. 3)
3.
Convert binary 111111110010 to hexadecimal.
EE216
FF216
2FE16
FD216
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Keertikumar said:   5 years ago
Make 4 digit groups from LSB and apply 8421 formula.

i.e 1111 1111 0010
F F 2

Answer = FF2.
(3)

Raju Konathala said:   5 years ago
@All.

Asked to convert into Hexadecimal.

Hexadecimal means in the form of 8 4 2 1. Total 16 bits(0-F). after 9th bit we write 10th bit as A,11th as B,12th as C, 13th as D, 14th as E and 15th as F.

so, divide the given binary form into 4 groups (means to indicate in the form of 8 4 2 1) from right to left and write down the corresponding number in Hexadecimal.

1111 1111 0010
F F 2

So, We got the answer as (FF2)16.
(2)

Nisha said:   8 years ago
I can't understand.

111111110010.

In this one, it comes 15.
(1)

Prashant said:   8 years ago
Divided by 8.

Binary ---------- Quotient ---------- Remainder
1111 ---------- 138 ---------- 7
1111 ---------- 138 ---------- 7
0010 ---------- 1 ---------- 2

Combine remainder.

Hexadecimal equivalent of the binary no. 111111110010 is 772.

Thanks

Indranil said:   8 years ago
Thanks for all this explanations.
(1)

Vasava snehal said:   1 decade ago
I can't understand it. Please explain easy.

Kiran kumar said:   1 decade ago
First convert the given binary no to decimal no.

111111110010 = 0*2^0+1*2^1+0*2^3.1*2^11 = 4082.

The decimal no = 4082.

Then convert the decimal no to hexadecimal 4082/16 remainder = 2.

255/16 remainder = 15.

Remainder = 15.

This equivalent to (FF2).
(1)

Deepak s Kumar said:   1 decade ago
111111110010
A=10, B=11, C=12, D=13, E=14, F=15.

Select 4-4 pair group
1111 1111 0010
8421 8421 8421
15 15 2
F F 2

Ans:(B).(FF2)16.
(3)

Ajay kumar said:   1 decade ago
Here f=15 it means FF2=(15)(15)2 = 227 = 1111 1111 0010.

Suvitha said:   1 decade ago
111111110010
A=10, B=11, C=12, D=13, E=14, F=15

Select 4-4 pair group
1111 1111 0010
15 15 2
F F 2

Ans:(B).(FF2)16.


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