Computer Science - Computer Fundamentals - Discussion

Discussion Forum : Computer Fundamentals - Section 5 (Q.No. 34)
34.
The binary equivalent of the Octal number 13.54 is
1011.1011
1101.1110
1001.1110
All of the above
None of the above
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
8 comments Page 1 of 1.

Muhammad Asif said:   6 years ago
Well, here we need to first convert the No. into decimal No. By multiplying each digit with 8^0 8^1.

1*8^1+3*8^0. 5*8^-1+4*8^-2.
Result = 11.11.

Now its LCM by 2 i.e. decimal to binary which is,

Option A 1011 1011.

This is totally wrong.

The answer is that,

Just write octal counting then equal to decimal so that.

The decimal equivalent is 11.44 now you convert into decimal answer will be 1011.1011.

Amit said:   6 years ago
Firstly the 13.54 octal number converted to decimal number. after conversion to decimal, we get 11.6875.

Now convert 11.6875 i.e. base 10 or decimal number to the binary of base 2.
Hence we get the result 1101.1011.
That's it

IKRAM said:   10 years ago
So 11.46, answer in Binary.

Deepti goyal said:   10 years ago
It can also be done by this method.

Octal is represented in 3 places.

1 = 001.
3 = 011.
5 = 101.
4 = 100.

So 13.54 = 001011.101100 which can be written as 1011.1011.
(2)

Nitin said:   10 years ago
@Jyoti is correct. You just need to truncate the preceding and leading zeroes.

SHVETA PANWAR said:   1 decade ago
well here we need to first convert the No. into decimal No. by multiplying each digit with 8^0 8^1..

1*8^1+3*8^0.5*8^-1+4*8^-2.
Result = 11.11.

Now its LCM by 2 i.e decimal to binary which is,

Option A 1011 1011.

Anu said:   1 decade ago
No @Jyoti you are wrong. Answer is option A. But I need to know actual method that I've forgotten.

Jyoti Nagpal said:   1 decade ago
The method of Octal to Binary conversion is: to substitute the value from a Table.
1=001
3=011
5=101
4=100
13.54=001011.101100
So, answer according to me is [E]

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