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Decimal 43 is Hexadecimal and BCD number system is respectively
- a)B2, 0100 011
- b)2B, 0100 0011
- c)2B, 0011 0100
- d)B2, 0100 0100
Correct answer is option 'B'. Can you explain this answer?
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Decimal 43 is Hexadecimal and BCD number system is respectivelya)B2, 0...
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Decimal 43 is Hexadecimal and BCD number system is respectivelya)B2, 0...
Decimal to Hexadecimal Conversion:
To convert a decimal number to hexadecimal, we divide the decimal number by 16 repeatedly and record the remainders. The remainders will be the hexadecimal digits in reverse order.
In this case, we need to convert decimal 43 to hexadecimal. Here's the step-by-step process:
1. Divide 43 by 16: 43 ÷ 16 = 2 remainder 11 (B in hexadecimal).
2. Divide the quotient (2) by 16: 2 ÷ 16 = 0 remainder 2 (2 in hexadecimal).
Therefore, decimal 43 is equal to hexadecimal 2B.
Decimal to BCD Conversion:
BCD stands for Binary Coded Decimal, which is a binary representation of decimal digits. In BCD, each decimal digit is represented by a 4-bit binary code.
To convert a decimal number to BCD, we convert each decimal digit to its 4-bit binary equivalent.
In this case, we need to convert decimal 43 to BCD. Here's the step-by-step process:
1. Convert the tens digit (4) to binary: 4 = 0100.
2. Convert the ones digit (3) to binary: 3 = 0011.
Therefore, decimal 43 is equal to BCD 0100 0011.
Conclusion:
The correct answer is option 'B' (2B, 0100 0011). Decimal 43 is equal to hexadecimal 2B and BCD 0100 0011.
To convert a decimal number to hexadecimal, we divide the decimal number by 16 repeatedly and record the remainders. The remainders will be the hexadecimal digits in reverse order.
In this case, we need to convert decimal 43 to hexadecimal. Here's the step-by-step process:
1. Divide 43 by 16: 43 ÷ 16 = 2 remainder 11 (B in hexadecimal).
2. Divide the quotient (2) by 16: 2 ÷ 16 = 0 remainder 2 (2 in hexadecimal).
Therefore, decimal 43 is equal to hexadecimal 2B.
Decimal to BCD Conversion:
BCD stands for Binary Coded Decimal, which is a binary representation of decimal digits. In BCD, each decimal digit is represented by a 4-bit binary code.
To convert a decimal number to BCD, we convert each decimal digit to its 4-bit binary equivalent.
In this case, we need to convert decimal 43 to BCD. Here's the step-by-step process:
1. Convert the tens digit (4) to binary: 4 = 0100.
2. Convert the ones digit (3) to binary: 3 = 0011.
Therefore, decimal 43 is equal to BCD 0100 0011.
Conclusion:
The correct answer is option 'B' (2B, 0100 0011). Decimal 43 is equal to hexadecimal 2B and BCD 0100 0011.
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Decimal 43 is Hexadecimal and BCD number system is respectivelya)B2, 0100 011b)2B, 0100 0011c)2B, 0011 0100d)B2, 0100 0100Correct answer is option 'B'. Can you explain this answer?
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