3
The 10’s complement of $455$ is —
✓Solution
10’s complement = $10^3 - 455 = 1000 - 455 = 545$
1
The 2’s complement of $5$ is —
✓Solution
Binary of $5 = 0101$
1’s complement = $1010$
Add 1 → $1011$ (2’s complement)
2
The decimal equivalent of $(0.101)_2$ will be —
✓Solution
$(0.101)_2 = (1×2^{-1}) + (0×2^{-2}) + (1×2^{-3}) = 0.5 + 0 + 0.125 = 0.625$
3
Which of the following is false?
✓Solution
$x·x' = 0$ (not 1) — this is false.
2
The Boolean expression $A + BC$ is the reduced form of —
✓Solution
$$(A + B)(A + C) = A + BC$$ (by distributive law)
1
The expression of an XOR gate is —
✓Solution
The logical expression for XOR (Exclusive OR) is true when inputs are different,
therefore its expression is $A'B + AB'$.
3
Which of the following statements about RAM is correct?
1
2
3
4
✓Solution
RAM is volatile memory used for temporary storage during program execution.
1
If $M$ denotes the number of memory locations and $N$ denotes the word size, then an expression that denotes the storage capacity is —
✓Solution
Storage capacity = (Number of memory locations) × (Word size)
$\Rightarrow$ Storage capacity = $M \times N$
2
Which of the following best distinguishes a sequential circuit from a combinational circuit?
1
2
3
4
✓Solution
Sequential circuits depend on both current inputs and past states (memory), unlike combinational circuits.
2
What is the high-speed memory between the main memory and the CPU called?
✓Solution
The fastest memory between CPU and main memory is Cache Memory, used to speed up data access.