# 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

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.