Question

Convert the following numbers to BCD and HEX codes.

(269)₁₀ = (......................)ʙᴄᴅ
(156)₁₀ = (......................)ʜᴇx

Answer 1

The BCD representation of the decimal number 269 is (0010 0110 1001) and the hexadecimal representation of 156 is (9C).

Step-by-step explanation:

To convert decimal numbers to Binary Coded Decimal (BCD) and hexadecimal (HEX) codes, we use different methods. To convert to BCD, each decimal digit is represented by its four-bit binary equivalent. For HEX, the entire number is converted into base 16.

For the decimal number (269)10, we convert each digit to binary:

• 2 in binary is 0010
• 6 in binary is 0110
• 9 in binary is 1001

Putting it all together, the BCD representation is (0010 0110 1001)BCD.

To convert (156)10 to HEX, we divide the number by 16 and use the remainder:

1. 156 divided by 16 is 9 with a remainder of 12, which is 'C' in HEX.
2. The quotient of 9 is less than 16, so we use 9 as the next HEX digit.

So, (156)10 in HEX is (9C)HEX.