How many bits are needed to store one BCD digit?a)2 bitsb)4 bitsc)3 bi...
BCD stands for Binary Coded Decimal. It is a form of representing decimal numbers using a binary code. In BCD, each decimal digit is represented by a 4-bit binary code. Let's break down the answer and explain why it is option 'B' - 4 bits.
Binary Coded Decimal (BCD)
BCD is a way of representing decimal digits using a binary code. In BCD, each decimal digit is represented by a 4-bit binary code. This means that 4 binary bits are required to represent a single BCD digit.
Binary Digits
In binary representation, each digit can take on one of two values, 0 or 1.
Decimal Digits
In decimal representation, each digit can take on one of ten values, from 0 to 9.
BCD Representation
To represent decimal digits using BCD, each decimal digit is divided into its binary equivalent. For example, the decimal digit 0 is represented as 0000 in BCD, 1 as 0001, 2 as 0010, and so on up to 9 as 1001.
Number of Bits for a BCD Digit
Since each decimal digit is represented by a 4-bit binary code in BCD, we can conclude that 4 bits are required to store one BCD digit.
Examples
Let's consider some examples to further illustrate this:
- The BCD representation of the decimal digit 3 is 0011, which requires 4 bits.
- The BCD representation of the decimal digit 7 is 0111, which also requires 4 bits.
- The BCD representation of the decimal digit 9 is 1001, again requiring 4 bits.
Conclusion
In conclusion, 4 bits are required to store one BCD digit. This is because each decimal digit is represented by a 4-bit binary code in BCD. Therefore, the correct answer is option 'B' - 4 bits.
How many bits are needed to store one BCD digit?a)2 bitsb)4 bitsc)3 bi...
BCD stands for Binary Coded Decimal. It is a type of binary encoding where each decimal digit is represented by a fixed number of bits, usually 4. It is also called 8421 code to represent the maximum number 15. BCD can encode only from 0-9. For example, Decimal number 456, its equivalent BCD code is 0100 0101 0110
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).