1011 is BCD representation of:

1011 is BCD representation of:
| 1011 is BCD representation of:

A. 11

B. 9

C. 10

D. None of these

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

  • A Binary Coded Decimal (BCD) is a type of binary representation for decimal values where each digit is represented by its 4-bit binary equivalent.
  • Binary-coded decimals are an easy way to represent decimal values, as each digit is represented by its own 4-bit binary sequence which only has 10 different combinations.

The following represents the 4-bit binary representation of decimal values: 

Decimal Symbol

 

BCD Digit

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

8

1000

9

1001

  • A number with 'n' decimal digit will require 4k bits in BCD.
  • Ex- Decimal 396 is represented in BCD with 12 bits as 0011 1001 0110, with each group of 4 bits representing one decimal digit.
  • As the decimal digits relating to 1010, 1011, 1100, 1101, 1110, and 1111 do not exist, these are invalid.