NIMCET Computer Previous Year Questions (PYQs) – Page 19 of 23
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CPU has 12-bit address bus.
Total memory = 16 KB.
Word length = ?
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Solution
$2^{12}=4096$ locations
Word size = $16384/4096 = 4$ bytes
Execution of OS begins with:
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Solution
OS starts via bootstrap loader.
If $(12x)_3 = (123)_x$ then the value of $x$ is:
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Solution
Convert $(12x)_3$ to decimal:
$1\cdot 3^2 + 2\cdot 3 + x = 9 + 6 + x = 15 + x$
Convert $(123)_x$ to decimal:
$1\cdot x^2 + 2\cdot x + 3$
Equate:
$15 + x = x^2 + 2x + 3$
Bring all to one side:
$x^2 + x - 12 = 0$
Factor:
$(x + 4)(x - 3) = 0$
So $x = 3$ or $x = -4$
But base $x$ must be > 3 (because digits 1,2,3 appear).
Allowed value = 3 (but digit '3' cannot appear in base 3).
So no valid base exists.
The 2's complement representation of the number (–100)10 in an 8 bit computer is
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Solution
The number of terms in the product of sums canonical form of 
is
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Solution
Consider a hard disk with 16 recording surfaces (0-15) having 16384 cylinders (0-16383) and each cylinder contains 64 sectors(0-63). Data storage capacity in each sector is 512 bytes. Data are organized cyclinderwise and the addressing format is . A file of size 42797KB is stored in the disk and the starting disk location of the file is <1200,9,40>. What is cylinder number of the last sector of the file, if it is stored in a contiguous manner?
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Solution
Consider the following min term expression for F.
F(P,Q,R,S) = ∑ (0, 2, 5, 7, 8, 10, 13, 15)
The minterms 2, 7, 8 and 13 are ‘do not care' terms.
The minimal sum of products form for F is
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Solution
Consider the equation (43)x = (y3)8 where x and y are unknown. The number of possible solutions is
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Solution
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