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Electrical, Electronics, and Digital Hardware Essentials for Scientists and Engineers

60 SOLVED PROBLEMS

Question: 1.8

Given three resistors in parallel, where R1 = 3 Ω, R2 = 6 Ω, and R3 = 2 Ω, calculate the parallel equivalent resistor. ...

Verified Answer:

Using Equation (1.43), we obtain 1 / R_{\te...
Question: 7.8

Given function f(C, B, A) = CA + BA, expand it to represent it in its canonical SOP form. ...

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The given function clearly is not already given as...
Question: 1.9

Given 10 resistors in parallel of equal value, find the parallel equivalent resistor of the group of 10. ...

Verified Answer:

a Using Equation (1.43) for “n = 10” resistors in ...
Question: 6.15

Using the circuit of Figure 6.50 assume the following values: VDD = 10 V, R1 = 40 kΩ, R2 = 100 kΩ, RS = 200 Ω, and MOSFET parameters: VTH = 0.5 V, μnCox = 100 µA/V² , W/L = 50, and λ = 0. Calculate the maximum allowable value of RD for the MOSFET to remain on the edge of saturation. Assume VGS ...

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From inspection of Figure 6.50, we can state that ...
Question: 9.1

Define a 2-bit synchronous up binary counter with an asynchronous reset: (1) Write its state table and (2) state diagram. (3) Perform a logic implementation of the counter using positive edge-triggered JK flip-flops. ...

Verified Answer:

A 2-bit synchronous up binary counter is a 2-bit s...
Question: 7.18

Given function G (D,C,B,A) = ∑ (1, 4 , 6, 7, 8, 9, 10, 11, 15), find a maximally simplified SOP form. Function G is given in Figure 7.12. ...

Verified Answer:

Using a 4-variable map, we write the unity minterm...
Question: 6.14

Let us assume that a 50 Ω coaxial transmission line cable needs to drive the input of amplifier with an input resistance of 10 kΩ. In order to maximize power transfer from one stage to the next, the output impedance of the driving stage, the transmission line in this case, must match the input ...

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From Equations: (6.86) and (6.88) we know that: [l...
Question: 7.1

Represent the decimal number (183)10 in binary and in hex. ...

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Initially we are not sure how many bits the number...
Question: 7.16

Given a 3-variable function g(C,B,A) = ∑(2,3,4,5), find a maximally simplified SOP form using K. maps. Figure 7.8 depicts function g minterms on a 3-variable K. map. ...

Verified Answer:

Let us begin by encircling the largest possible nu...
Question: 6.13

Given the circuit of Figure 6.30, assume the following component values: R1 = 20 kΩ, R2 = 100 kΩ, RC = 50 Ω, and RE = 100 Ω, the supply is VCC = 10 V. (1) Calculate IC, IB, VCE,VRE, and β. (2) Also calculate for the found value of β the BJT trans-conductance gm and rπ of the hybrid-π small signal ...

Verified Answer:

From Equation (6.16), repeated here for the reader...
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