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A three digit decimal number requires ________ for representation in the conventional BCD format.
- a)3 bits
- b)6 bits
- c)12 bits
- d)24 bits
Correct answer is option 'C'. Can you explain this answer?
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A three digit decimal number requires ________ for representation in t...
A three-digit decimal number can range from 100 to 999. In the conventional BCD (Binary Coded Decimal) format, each decimal digit is represented by a 4-bit binary code.
Let's break down the representation of a three-digit decimal number in the BCD format:
- The first digit can have values from 1 to 9. In the BCD format, it requires 4 bits to represent each value. So, for the first digit, we need 4 bits.
- The second and third digits can have values from 0 to 9. Again, each digit requires 4 bits to represent each value. So, for the second and third digits, we need 4 bits each.
To find the total number of bits required for the representation of a three-digit decimal number, we add up the bits required for each digit.
- Bits required for the first digit: 4 bits
- Bits required for the second digit: 4 bits
- Bits required for the third digit: 4 bits
Adding them up, we get a total of 4 + 4 + 4 = 12 bits.
Therefore, a three-digit decimal number requires 12 bits for representation in the conventional BCD format.
Let's break down the representation of a three-digit decimal number in the BCD format:
- The first digit can have values from 1 to 9. In the BCD format, it requires 4 bits to represent each value. So, for the first digit, we need 4 bits.
- The second and third digits can have values from 0 to 9. Again, each digit requires 4 bits to represent each value. So, for the second and third digits, we need 4 bits each.
To find the total number of bits required for the representation of a three-digit decimal number, we add up the bits required for each digit.
- Bits required for the first digit: 4 bits
- Bits required for the second digit: 4 bits
- Bits required for the third digit: 4 bits
Adding them up, we get a total of 4 + 4 + 4 = 12 bits.
Therefore, a three-digit decimal number requires 12 bits for representation in the conventional BCD format.
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Community Answer
A three digit decimal number requires ________ for representation in t...
The number of bits needed to represent a given decimal number is always greater than the number of bits required for a straight binary encoding of the same. Hence, a three digit decimal number requires 12 bits for representation in BCD format.
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A three digit decimal number requires ________ for representation in the conventional BCD format.a)3 bitsb)6 bitsc)12 bitsd)24 bitsCorrect answer is option 'C'. Can you explain this answer?
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