Introduction:
Binary-Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of binary bits. Decimal to BCD conversion is the process of converting a decimal number to its equivalent Binary-Coded Decimal representation. This conversion is useful in various applications, including digital displays and computing systems.
Simple Explanation:
What is Decimal To BCD?
BCD is a binary representation of decimal numbers where each decimal digit is expressed in 4 bits.
Converting decimal to BCD means representing each decimal digit in its 4-bit binary form.
Steps to Decimal To BCD:
Break Down Decimal Digits:
Start by breaking down the decimal number into individual decimal digits.
Convert to 4-Bit Binary:
For each decimal digit, convert it to its equivalent 4-bit binary representation.
Ensure that each 4-bit binary number represents a decimal digit.
Example:
Converting 123 to BCD:
To convert the decimal number 123 to BCD:
Decimal digits: 1 2 3
Binary representation: 0001 0010 0011 (each decimal digit is represented by a 4-bit binary number).
So, the BCD representation of 123 is 0001 0010 0011.
Key Points to Remember:
BCD represents decimal digits using 4 bits for each digit.
Convert each decimal digit individually to its 4-bit binary form.
Activity:
Practice converting decimal numbers to BCD to reinforce your understanding.
Extra Tip:
BCD is commonly used in digital displays and computing systems for efficient decimal representation.