Linear Integrated Circuit Questions and Answers – Multiplier and Divider – 1

This set of Linear Integrated Circuit Multiple Choice Questions & Answers (MCQs) focuses on “Multiplier and Divider – 1”.

1. Determine output voltage of analog multiplier provided with two input signal Vx and Vy.
a) Vo = (Vx ×Vx) / Vy
b) Vo = (Vx ×Vy / Vref
c) Vo = (Vy ×Vy) / Vx
d) Vo = (Vx ×Vy) / Vref2
View Answer

Answer: b
Explanation: The output is the product of two inputs divided by a reference voltage in analog multiplier. Thus, the output voltage is a scaled version of x and y inputs.
=> Vo =Vx ×Vy / Vref.

2. Match the list-I with list-II

List-I List-II
1. One quadrant multiplier i. Input 1- Positive, Input 2- Either positive or negative
2. Two quadrant multiplier ii. Input 1- Positive, Input 2 – Positive
3. Four quadrant multiplier iii. Input 1- Either positive or negative, Input 2- Either positive or negative

a) 1-ii, 2-i, 3-iii
b) 1-ii, 2-ii, 3-ii
c) 1-iii, 2-I, 3-ii
d) 1-I, 2-iii, 3-i
View Answer

Answer: a
Explanation: If both inputs are positive, the IC is said to be a one quadrant multiplier. A two quadrant multiplier function properly, if one input is held positive and the other is allowed to swing. Similarly, for a four quadrant multiplier both the inputs are allowed to swing.
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3. What is the disadvantage of log-antilog multiplier?
a) Provides four quadrant multiplication only
b) Provides one quadrant multiplication only
c) Provides two and four quadrant multiplication only
d) Provides one, two and four quadrant multiplication only
View Answer

Answer: b
Explanation: Log amplifier requires the input and reference voltage to be of the same polarity. This restricts log-antilog multiplier to one quadrant operation.

4. An input of Vsinωt is applied to an ideal frequency doubler. Compute its output voltage?
a) Vo = [(Vx×Vy) /Vref2] × [1-cos2ωt/2].
b) Vo = [(Vx2×Vy2) /Vref] × [1-cos2ωt/2].
c) Vo = [(Vx×Vy)2 /Vref] × [1-cos2ωt/2].
d) Vo = [(Vx×Vy) /( Vref] × [1-cos2ωt/2].
View Answer

Answer: d
Explanation: In an ideal frequency doubler, same frequency is applied to both inputs.
∴ Vx = Vxsinωt and Vy = Vysinωt
=> Vo = (Vx×Vy × sin2ωt) / Vref = [(Vx×Vy) / Vref] × [1-cos2ωt/2].
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5. Find the output voltage for the squarer circuit given below, choose input frequency as 10kHz and Vref =10v
Find the output voltage for the given squarer circuit
a) Vo = 5.0-(5.0×cos4π×104t)
b) Vo = 2.75-(2.75×cos4π×104t)
c) Vo = 1.25-(1.25×cos4π×104t)
d) None of the mentioned
View Answer

Answer: c
Explanation: Output voltage of frequency Vo =Vi2 / Vref
=> Vi = 5sinωt = 5sin2π×104t
Vo = [5×(sin2π×104t)2 ]/10 = 2.5×[1/2-(1/2cos2π ×2×104t)] = 1.25-(1.25×cos4π×104t).

6. Calculate the phase difference between two input signals applied to a multiplier, if the input signals are Vx= 2sinωt and Vy= 4sin(ωt+θ). (Take Vref= 12v).
a) θ = 1.019
b) θ = 30.626
c) θ = 13.87
d) θ = 45.667
View Answer

Answer: a
Explanation: Vo= [Vmx×Vmy /(2×Vref)] ×cosθ
=> (Vo×2×Vref)/ (Vmx × Vmy) = cosθ
=> cosθ = (10×2×12)/(2×4) = 30.
=> θ = cos-130 =1.019.
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7. Express the output voltage equation of divider circuit
a) Vo= -(Vref/2)×(Vz/Vx)
b) Vo= -(2×Vref)×(Vz/Vx)
c) Vo= -(Vref)×(Vz/Vx)
d) Vo= -Vref2×(Vz/Vx)
View Answer

Answer: c
Explanation: The output voltage of the divider, Vo= -Vref×(Vz/Vx).
Where Vz –> dividend and Vx –> divisor.

8. Find the divider circuit configuration given below
a)
Find the complement of multiplication from the given diagram
b)
Find the multiplier circuit element from the given diagram
c)
Find the op-amp feedback loop from the given diagram
d) All of the mentioned
View Answer

Answer: a
Explanation: Division is the complement of multiplication. So, the divider can be accomplished by placing the multiplier circuit element in the op-amp feedback loop.
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9. Find the input current for the circuit given below.
Find the input current for the given circuit
a) IZ = 0.5372mA
b) IZ = 1.581mA
c) IZ = 2.436mA
d) IZ =9.347mA
View Answer

Answer: b
Explanation: Input current, IZ = -(Vx×Vo)/(Vref×R) = -(4.79v×16.5v)/(10×5kΩ) = 1.581mA.

10. Find the condition at which the output will not saturate?
Find the condition at which the output will not saturate
a) Vx > 10v ; Vy > 10v
b) Vx < 10v ; Vy > 10v
c) Vx < 10v ; Vy < 10v
d) Vx > 10v ; Vy < 10v
View Answer

Answer: c
Explanation: In an analog multiplier, Vref is internally set to 10v. As long as Vx < Vref and Vy < Vref, the output of multiplier will not saturate.

Sanfoundry Global Education & Learning Series – Linear Integrated Circuits.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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