15. Consider the logic function f(x.y,z) = Em(0,1,4,5) a Build the Truth Table of f. Xy z b. Implement f using one 4-way multiplexer; assume that the inputs and their complements are available at the input of the multiplexer

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Chapter1: Computer Networks And The Internet
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15. Consider the logic function f(x,y,z) = Em(0,1,4,5)
a.
Build the Truth Table of f.
y
z
f
b. Implement f using one 4-way multiplexer; assume that the inputs and their
complements are available at the input of the multiplexer
Transcribed Image Text:3-to-8 Decoder 15. Consider the logic function f(x,y,z) = Em(0,1,4,5) a. Build the Truth Table of f. y z f b. Implement f using one 4-way multiplexer; assume that the inputs and their complements are available at the input of the multiplexer
13. The following circuit implements a Boolean function of 5 variables (A, B, C, X, and Y).
It uses five 4:1 multiplexers. Note that X and Y are simply used to select one of four
functions of A, B, and C. We'll call them F0, F1, F2, and F3.
FO
A
A
AB
F1
BC
C'
F2
XY
F3
AB
АВ
a- Write the reduced equations for these four functions.
FO =
F1 =
F2 =
F3 =
b-
What will be the output of the system if inputs are as follows
A=0
B=1
C=0
D=1
X=0
Y=1
14. In this exercise, you are requested to build a circuit that inputs 3 binary variables A, B
and C and outputs 2 binary values Z and T. Z=1 if A is different than B and T = 1 if B
is different than C.
a- Completing the truth table of a full adder.
AB
b- Implement the circuit using the below decoder
Transcribed Image Text:13. The following circuit implements a Boolean function of 5 variables (A, B, C, X, and Y). It uses five 4:1 multiplexers. Note that X and Y are simply used to select one of four functions of A, B, and C. We'll call them F0, F1, F2, and F3. FO A A AB F1 BC C' F2 XY F3 AB АВ a- Write the reduced equations for these four functions. FO = F1 = F2 = F3 = b- What will be the output of the system if inputs are as follows A=0 B=1 C=0 D=1 X=0 Y=1 14. In this exercise, you are requested to build a circuit that inputs 3 binary variables A, B and C and outputs 2 binary values Z and T. Z=1 if A is different than B and T = 1 if B is different than C. a- Completing the truth table of a full adder. AB b- Implement the circuit using the below decoder
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