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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...
Understanding Decimal to Hexadecimal Conversion
To convert the decimal number 43 to hexadecimal:
- Divide by 16:
- 43 ÷ 16 = 2 remainder 11
- Hexadecimal Representation:
- The quotient (2) is represented as "2".
- The remainder (11) corresponds to "B" in hexadecimal.
Thus, the hexadecimal representation of decimal 43 is 2B.
Understanding Decimal to BCD Conversion
To convert the decimal number 43 to Binary-Coded Decimal (BCD):
- Breakdown Each Digit:
- The decimal number 43 has two digits: 4 and 3.
- Convert Each Digit to Binary:
- 4 in binary is 0100.
- 3 in binary is 0011.
- Combine:
- The BCD for 43 is 0100 0011.
Final Results
- Hexadecimal of 43:
- 2B
- BCD of 43:
- 0100 0011
Based on these conversions, the correct option is B: 2B, 0100 0011. This accurately represents the decimal number 43 in both hexadecimal and BCD formats.
To convert the decimal number 43 to hexadecimal:
- Divide by 16:
- 43 ÷ 16 = 2 remainder 11
- Hexadecimal Representation:
- The quotient (2) is represented as "2".
- The remainder (11) corresponds to "B" in hexadecimal.
Thus, the hexadecimal representation of decimal 43 is 2B.
Understanding Decimal to BCD Conversion
To convert the decimal number 43 to Binary-Coded Decimal (BCD):
- Breakdown Each Digit:
- The decimal number 43 has two digits: 4 and 3.
- Convert Each Digit to Binary:
- 4 in binary is 0100.
- 3 in binary is 0011.
- Combine:
- The BCD for 43 is 0100 0011.
Final Results
- Hexadecimal of 43:
- 2B
- BCD of 43:
- 0100 0011
Based on these conversions, the correct option is B: 2B, 0100 0011. This accurately represents the decimal number 43 in both hexadecimal and BCD formats.
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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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