Question

How to convert 8 bit binary to BCD?

Answer 1

To convert an 8-bit binary number to Binary-Coded Decimal (BCD), follow these steps:

1. Break down the 8-bit binary number:

First, split the 8-bit binary number into two 4-bit sections, because each BCD digit corresponds to 4 bits.

For example, if the binary number is 10101101:

1. Split it into two parts: 1010 and 1101.
   

2. Convert each 4-bit section to decimal:

Now, convert each 4-bit segment into its decimal equivalent.

1. 1010 in binary is 10 in decimal.
   

1. 1101 in binary is 13 in decimal.
   

3. Represent the decimal digits as BCD:

Now you need to convert each decimal digit into its BCD equivalent.

1. The decimal digit 10 in BCD is 0001 0000.
   

1. The decimal digit 13 in BCD is 0001 0011.
   

So, the BCD representation of 10101101 (which is 173 in decimal) will be:

1. 0001 0000 0001 0011 (BCD for 1 and 3, and 1 and 0, respectively).
   

4. Final result:

The final BCD representation of the 8-bit binary number 10101101 is 0001 0000 0001 0011.

Summary:

1. Convert each 4-bit chunk into a decimal number.
   

1. Represent each decimal number as its BCD equivalent.
   

Let me know if you'd like more examples or clarification!