Homework Answers
This question comprise the concepts of TTL (transistor transistor logic) and simple Transistor logic. The TTL is uses special single multi emitter transistor fabricated with several emitter inputs.
Let the TTL be denoted by Q1 and simple transistor by
Q2
. Each emitter of TTL are like
diodes.
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3- Extract the logical relation between output of the gate (Q) with respect to input A...
1. The relation between the input of a person and the output of that person's height...
1. The relation between the input of a person and the output of that person's height is a function, because each person has exactly one height. However, the relation between the input of a person and the output of that's person's telephone number, is not a function because a single person might have several telephone numbers (home phone, cell phone, work phone, etc). a) Describe a relation (give its input and output) in your life that is a function Explain...
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only....
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only. Draw you diagram b) Design 4 input AND gate using 2 input NOR gates. Draw you diagram
4). Use FETs to sketch a circuit for a 3-input CMOS NAND gate, where the output...
4). Use FETs to sketch a circuit for a 3-input CMOS NAND gate, where the output is at ground if all three inputs are at Vpo and the output is at Vpp if any of the inputs is at ground.
3. Consider a price-taking firm that produces widgets with only labour input. Let the relation between...
3. Consider a price-taking firm that produces widgets with only labour input. Let the relation between widget output and labour input be the function f(n), where n is labour input. Denote the price of widgets by p and the wage rate (the price of labour) by w. "Price taking" means that w and p are beyond the firm's control. Profits are defined to be total revenue less total costs. Write profits as a function of n.p, w: enote the function...
Measurements #6. The relation between input Ti and output X of a liquid bulb thermometer is...
Measurements
#6. The relation between input Ti and output X of a liquid bulb thermometer is given by: dx 23.0dt + 2.0-2.0 Ti measured in mm and Ti is the input measured in is 0 mm. The meter is under a step input from 0 oC (at 0) to 90 oC (t> 0). Find the reading of the where X is output oC. Find time constant and static sensitivity of the instrument (3 +2 pts). At 0 oC the X...
2. Domino Logic Sketch the transistor level schematic of a single domino gate that implements the...
2. Domino Logic Sketch the transistor level schematic of a single domino gate that implements the function Y-(A)+ (C-D). The dynamic section of the domino gate should use a foot transistor. (4 points) a) b) Size the transistors so that the dynamic section has the pull-down strength of a unit inverter and the high-skew inverter has the pull-up strength of a unit inverter. (5 points) c) What is the path logical effort G and path parasitic delay P for a...
Consider a causal, linear and time-invariant system of continuous time, with an input-output relation that obeys...
Consider a causal, linear and time-invariant system of continuous time, with an input-output relation that obeys the following linear differential equation: y(t) + 2y(t) = x(t), where x(t) and y(t) stand for the input and output signals of the system, respectively, and the dot symbol over a signal denotes its first-order derivative with respect to time t. Use the Laplace transform to compute the output y(t) of the system, given the initial condition y(0-) = V2 and the input signal...
For a continuous time linear time-invariant system, the input-output relation is the following (x(t) the input, y(t) the...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
3. a. b. Apply the input waveforms (A,B,&C) of the following figure to a NOR gate,...
3. a. b. Apply the input waveforms (A,B,&C) of the following figure to a NOR gate, & draw the output waveform. Repeat with C held permanently LOW. Repeat with C held HIGH. 10
(a) The circuit shown below in Figure 3 has a two-input logic gate hidden from view....
(a) The circuit shown below in Figure 3 has a two-input logic gate hidden from view. By inspection of the output function F, identify the hidden logic gate. ; hidden logic F-(ADB)(C08) gate cas Figure 3 (b) Draw a truth table for the function F given in part (a) above and hence derive an alternative 'sum of products' expression for F.
1. The relation between the input of a person and the output of that person's height is a function, because each person has exactly one height. However, the relation between the input of a person and the output of that's person's telephone number, is not a function because a single person might have several telephone numbers (home phone, cell phone, work phone, etc). a) Describe a relation (give its input and output) in your life that is a function Explain...
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only. Draw you diagram b) Design 4 input AND gate using 2 input NOR gates. Draw you diagram
4). Use FETs to sketch a circuit for a 3-input CMOS NAND gate, where the output is at ground if all three inputs are at Vpo and the output is at Vpp if any of the inputs is at ground.
3. Consider a price-taking firm that produces widgets with only labour input. Let the relation between widget output and labour input be the function f(n), where n is labour input. Denote the price of widgets by p and the wage rate (the price of labour) by w. "Price taking" means that w and p are beyond the firm's control. Profits are defined to be total revenue less total costs. Write profits as a function of n.p, w: enote the function...
Measurements
#6. The relation between input Ti and output X of a liquid bulb thermometer is given by: dx 23.0dt + 2.0-2.0 Ti measured in mm and Ti is the input measured in is 0 mm. The meter is under a step input from 0 oC (at 0) to 90 oC (t> 0). Find the reading of the where X is output oC. Find time constant and static sensitivity of the instrument (3 +2 pts). At 0 oC the X...
2. Domino Logic Sketch the transistor level schematic of a single domino gate that implements the function Y-(A)+ (C-D). The dynamic section of the domino gate should use a foot transistor. (4 points) a) b) Size the transistors so that the dynamic section has the pull-down strength of a unit inverter and the high-skew inverter has the pull-up strength of a unit inverter. (5 points) c) What is the path logical effort G and path parasitic delay P for a...
Consider a causal, linear and time-invariant system of continuous time, with an input-output relation that obeys the following linear differential equation: y(t) + 2y(t) = x(t), where x(t) and y(t) stand for the input and output signals of the system, respectively, and the dot symbol over a signal denotes its first-order derivative with respect to time t. Use the Laplace transform to compute the output y(t) of the system, given the initial condition y(0-) = V2 and the input signal...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
3. a. b. Apply the input waveforms (A,B,&C) of the following figure to a NOR gate, & draw the output waveform. Repeat with C held permanently LOW. Repeat with C held HIGH. 10
(a) The circuit shown below in Figure 3 has a two-input logic gate hidden from view. By inspection of the output function F, identify the hidden logic gate. ; hidden logic F-(ADB)(C08) gate cas Figure 3 (b) Draw a truth table for the function F given in part (a) above and hence derive an alternative 'sum of products' expression for F.
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