In 1-to-4 multiplexer, if C1 = 0 & C2 = 1, then the output will be ___________

A 4 × 1 multiplexer with two selector lines is used to realize a Boolean function F having four Boolean variables X, Y, Z and W as shown below. S0 and S1 denote the least significant bit (LSB) and most significant bit (MSB) of the selector lines of the multiplexer respectively. I0, I1, I2, I3 are the input lines of the multiplexer. The canonical sum of product representation of F is

A

F (X, Y, Z, W) = Σ m(0 , 1, 3, 14, 15)

B

F (X, Y, Z, W) = Σ m( 0, 1, 3,11,14)

C

F (X, Y, Z, W) = Σ m( 2, 5, 9, 11, 14)

D

F (X, Y, Z, W) = Σ m(1,3,7,9,15)

Assertion (A) : A multiplexer (MUX) is a device which selects one of the many inputs to a single output. Reason (R): A digital multiplexer is a sequential circuit that selects binary information from one of the many input line sand directs it to a single output line

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

C

(A) is true, but (R) is false

D

(A) false, but (R) is true

Statement (I): The multiplexer is essentially an electronic switching device which enables each of the inputs to be sampled in turn. Statement (II): A multiplexer is a circuit that is able to have inputs of data from a number of sources and then, by selecting an input channel, gives an output from just one of them.

A

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

B

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

C

Statement (I) is true but Statement (II) is false

D

Statement (I) is false but Statement (II) is true

A system provides output yi(t) when xi(t) is applied. If the system is said to be LTI then which of the following properties must satisfy? (i).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) + by2(t) (ii).If the input is x(t – T), then the output must be y (t – T) (iii).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) * by2(t) (iv).If the input is x(t – T), then the output must be y(t + T)

A

(i), (ii) and (iv)

B

(i), (ii) and (iii)

C

(ii), (iii) and (iv)

D

(i) and (ii)

The difference between a multiplexer and a statistical multiplexer is

A

Statistical multiplexers need buffers while multiplexers do not need buffers

B

Multiplexer use X.25 protocol, while statistical multiplexers use the Aloha protocol

C

Multiplexers often waste the output link capacity while statistical multiplexers optimize its use

D

Multiplexers use Time Division Multiplexing (TDM) while statistical multiplexers use Frequency Division Multiplexing (FDM)

E

None of the above

If only one multiplexer and one inverter are allowed to be used to implement any Boolean function of n variables, what is the maximum size of the multiplexer needed?

A

2^n-2 line to 1 line

B

2^n-1 line to 1 line

C

2^{n + 1} line to 1 line

D

2^{n + 2} line to 1 line

A 3-bit gray counter is used to control the output of the multiplexer as shown in the figure (A2 is MSB and A0 is LSB). The initial state of the counter is 0002. The output is pulled high. The output of the circuit follows the sequence

A

I_0,1, 1, I₁, I₃, 1, 1, I₂

B

I₀, 1, I₁, 1, I₂, 1, I₃, 1

C

1, I₀, 1, I₁, I₂, 1, I₃, 1

D

I₀, I₁, I₂, I₃, I₀, I₁, I₂, I₃

Wages of the workers are normally, the proportionality derived from their efficiency. But the concept of efficiency of labour is itself vague such as amount of physical output, output per man hour or output per man shift. But output is not the function of man alone. There are other factors which affect the output. Which among the following is/are not the factor(s) that would affect the output directly?
1. Physical condition of work
2. Nature of machinery
3. Technical process
4. Quality of raw material
5. System of management
6. Role of fellow workers
7. Competitors in the market

A

1 and 5

B

5 and 7

C

6 and 7

D

4 and 6

In the given 4-to-1 multiplexer, if c1 = 0 and c0 = 1 then the output M is ___________

A

X0

B

X1

C

X2

D

X3

In 1-to-4 multiplexer, if C1 = 1 & C2 = 1, then the output will be ___________

A

Y0

B

Y1

C

Y2

D

Y3

In 1-to-4 multiplexer, if C1 = 0 & C2 = 1, then the output will be ___________

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