Jamia Millia Islamia MCA Data Representation - Number System Previous Year Questions (PYQs) – Page 1 of 2
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The decimal equivalent of $(0.101)_2$ will be —
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Solution
$(0.101)_2 = (1×2^{-1}) + (0×2^{-2}) + (1×2^{-3}) = 0.5 + 0 + 0.125 = 0.625$
How many bytes are required to encode 2000 bits of data?
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Solution
1 byte = 8 bits
So, $2000 \text{ bits} = \dfrac{2000}{8} = 250$ bytes.
The pair byte and nibble comprise of ...... bit(s) respectively.
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Solution
1 byte = 8 bits
1 nibble = 4 bits
What is the name of the data metric used to refer to the size $10^{24}$ ?
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Solution
$10^{24}$ bytes = 1 Yottabyte.
The prefix "Yotta" represents $10^{24}$.
The hexadecimal subtraction of $(56)_{16}$ from $(427)_{16}$ results in:
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Solution
$(427)_{16} - (56)_{16} = (371)_{16}$
In which numbering system can the binary number 1011011111000101 be easily converted to?
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Solution
Grouping binary in 4 bits maps directly to hex.
Convert (231)_4 into (____)_3.
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Solution
(231)_4 = 2·4^2 + 3·4 + 1 = 45_(10).
45 to base 3 → 1·3^3 + 2·3^2 + 0·3 + 0 = 1200_3.
Convert (1278)_12 into (____)_4.
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Solution
(1278)_12 = 1·12^3 + 2·12^2 + 7·12 + 8 = 2108_(10).
2108 to base 4:
= 2·4^5 + 0·4^4 + 0·4^3 + 3·4^2 + 3·4 + 0 = 200330_4.
Convert (110100)_2 into (____)_16
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Solution
110100₂ = 0011 0100₂ = 3 4₁₆ →
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