Electronics and Communication Engineering - Digital Electronics - Discussion

19. 

Decimal 43 in hexadecimal and BCD number system is respectively.

[A]. B2, 01000011
[B]. 2B, 01000011
[C]. 2B, 00110100
[D]. B2, 01000100

Answer: Option B

Explanation:

(43)10 = (2B)16

(43)10 = (01000011)2 .


Rathi said: (Apr 17, 2014)  
In a binary system all possible combinations of bits are valid.

In a BCD system there are 4 bits per digit. And the only valid combinations are 0(0000 Binary) through to 9(1001 Binary). If you want more digits then you have to add another 4-bit set.

So the number 43 would be represented by 101011 in binary and 0100 0011 in BCD.

Ashmita Prakash said: (Oct 31, 2014)  
Can you please elaborate the explanation?

Surekha said: (Dec 1, 2014)  
Hex to decimal:

Divide 43 by 2 as shown:

43/2 = 21 rem 1 again divide 21 with 2.

21/2 = 10 rem 1.
10/2 = 5 rem 0.
5/2 = 2 rem 1.
2/2 = 1 rem 0.

00101011 = 2B.

Arora Rox said: (Dec 25, 2014)  
For hexadecimal to binary conversion of (43) which is in decimal form, convert 4 and the 3 into 4 bits separately, and then combine the answer.

4 = 0100.
3 = 0011.
43 = 01000011.

Sateesh said: (Apr 24, 2015)  
One simple logic among answers is 43 is odd number. So always LSB is 1 and Hexadecimal also odd number should come as left nibble like (B).

B.Mallesh Goud said: (Nov 26, 2015)  
How 00101011 = 2B ? Please explain.

Amir Ahmad said: (Jan 20, 2016)  
00101011 = 2B(H)?

For hexadecimal.

0010 = 2.
1011 = B.

Jemshihas said: (Mar 26, 2016)  
43/16.

Quotient = 2 in Decimal = 2 in Hex.

Remainder = 11 in Decimal = B in Hex.

Sasi said: (Feb 23, 2017)  
How 00101011? Please explain.

Shashi said: (Dec 23, 2017)  
In Hexa it is okay as (2B) but in Binary it will be (00101011).

If you go for direct conversion of 2 it will be 0010 & B will be 1011 so totally it would be 00101011.

Babu said: (Dec 30, 2017)  
Binary code BCD code both are different, in binary it is 00101011, but in BCD it is 0100 0011.

Shiwangi said: (Aug 29, 2018)  
How 2B ? Can any one explain it?

Nagaraj said: (Jan 20, 2019)  
In hexa the given decimal number should be divided by 16 (in 43 it has 2 as a quotient) and the remainder should be converted to direct Hexa equivalent number (in here it is 11 it's equivalent hexa number is B).

So, combining these we get {2B}.

Lemlem Aragaw said: (Aug 23, 2019)  
43/16 =2.
16*2 =32.
therefore 43-32 =11.

Then we will convert 43 to binary number.

43/2 = 21 rem 1 again divide 21 with 2.
21/2 = 10 rem 1.
10/2 = 5 rem 0.
5/2 = 2 rem 1.
2/2 = 1 rem 0.
0101011.
so A=10.
B=11.
And the answer will be 2B, 0101011.

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