Exercise: Exam Question Papers

Questions for: Exam Question Papers

In a number system with radix r, the decimal value of 110 is equal to 4r. The decimal values of 111 and r respective are equal to
A:
20, 5
B:
16, 4
C:
13, 3
D:
8, 2
Answer: C

(110)r = 4r

⇒ r2 + r = 4r

r(r - 3) = 0 ⇒ r ≠ 0, r = 3

(lll)r = 32 + 3 + 1 = 13.

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The number of variables in a function is odd and the number of minterms with even number of 0's are same as the number of minterms with odd number at 1's, the expression formed can be represented in __________ as well as __________ form.
A:
Ex - OR, NOR
B:
Equivalence, Ex - OR
C:
AND, Coincidence
D:
OR, Ex - OR
Answer: B

With odd number of variables (n)

Let n = 3, by using k map

A (B ⊕ C) + A(BC + B C)

AD + AD

= A ⊕ D

D = B⊕C

D = B⊕C

This can be represented by EX-NOR of EX-OR expressions.

EX-NOR means equivalence.

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The residue of the function at z = 2 is
A:
B:
C:
D:
Answer: A

Residue at z = 2

.

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The z-transform of a signal is given by . Its final value is :
A:
1/4
B:
zero
C:
1
D:
infinity
Answer: C

Final value is .

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Two D flip-flop as shown below are to be connected as a synchronous counter that goes through the following Q1Q0 sequence
00 → 01 → 11 → 10 → 00 → __________
The inputs D0 and D1 respectively should be connected as
A:
Q1 and Q0
B:
Q0 and Q1
C:
Q1 Q0 and Q1 Q0
D:
Q1 Q0 and Q1 Q0
Answer: A

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