The binary representation of BCD number 00101001 (decimal 29) isa)0101011b)0011101c)0110101d)1101001Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Binary-Coded Decimal (BCD) representation:

Binary-Coded Decimal (BCD) is a binary representation of decimal numbers in which each decimal digit is represented by a four-bit binary code. The BCD representation allows easy conversion between binary and decimal numbers.

Given number:
Decimal: 29
BCD: 00101001

To determine the binary representation of a BCD number, we need to convert each decimal digit into its four-bit binary code.

Conversion:
Decimal: 2 9
BCD: 0010 1001

Explanation:
Let's examine each option to determine the correct binary representation of the given BCD number.

a) 0101011
This option represents the binary number 0101011, which is the correct representation of decimal 43, not decimal 29. Therefore, option a) is incorrect.

b) 0011101 (Correct answer)
This option represents the binary number 0011101, which is the correct representation of decimal 29. Therefore, option b) is correct.

c) 0110101
This option represents the binary number 0110101, which is the representation of decimal 53, not decimal 29. Therefore, option c) is incorrect.

d) 1101001
This option represents the binary number 1101001, which is the representation of decimal 105, not decimal 29. Therefore, option d) is incorrect.

Therefore, the correct binary representation of the BCD number 00101001 (decimal 29) is option b) 0011101.

Answer

The given BCD number 00101001 has three 1s.
So, it can be rewritten as 0000001-1, 0001000-8, 0010100-20 and after addition, we get 0011101 as output.

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