In the following circuit, X and Y values are connected to the Multiplexer inputs. Decimal values of X and Y are given as follows: X= - 2 Y= - 12 Note that both X and Y have negative values and they are represented in TYPE 2 representation, where Type 1:One's complement Type 2: Two's complement Type 3: Signed Magnitude a) Find 4-bit input values X3 X2 X1 X0 and Y3 Y2 Y1 Y0. b) Find the boolean expression for the function F2 in terms of variables A, B, C, D. c) Simplify the function you found in part b) using the karnaugh map method. Do not forget to write down the decimal value of X, Y and the representation type in your solution. 000 |Cin Хо 10 YO A S F1 11 4:1 11 4:1 X1 Y1 12 Mих Y 12 Mux Y Cout F2 X2 Y2 B X3 13 Y3 13 FULL si so si so ADDER A B C D

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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In the following circuit, X and Y values are connected to the Multiplexer inputs. Decimal
values of X and Y are given as follows:
X= - 2
Y= - 12
Note that both X and Y have negative values and they are represented in TYPE 2
representation, where
Type 1:One's complement
Type 2: Two's complement
Type 3: Signed Magnitude
a) Find 4-bit input values X3 X2 X1 X0 and Y3 Y2 Y1 Y0.
b) Find the boolean expression for the function F2 in terms of variables A, B, C, D.
c) Simplify the function you found in part b) using the karnaugh map method.
Do not forget to write down the decimal value of X, Y and the representation type in your
solution.
|Cin
хо
10
YO
10
A
S
F1
11
4:1
11
4:1
X1
Y1
X2
12 Mих
Y
12 Mux
Cout
F2
Y2 •
B
X3
13
Y3
13
FULL
si so
si so
ADDER
А В
C
D
Transcribed Image Text:In the following circuit, X and Y values are connected to the Multiplexer inputs. Decimal values of X and Y are given as follows: X= - 2 Y= - 12 Note that both X and Y have negative values and they are represented in TYPE 2 representation, where Type 1:One's complement Type 2: Two's complement Type 3: Signed Magnitude a) Find 4-bit input values X3 X2 X1 X0 and Y3 Y2 Y1 Y0. b) Find the boolean expression for the function F2 in terms of variables A, B, C, D. c) Simplify the function you found in part b) using the karnaugh map method. Do not forget to write down the decimal value of X, Y and the representation type in your solution. |Cin хо 10 YO 10 A S F1 11 4:1 11 4:1 X1 Y1 X2 12 Mих Y 12 Mux Cout F2 Y2 • B X3 13 Y3 13 FULL si so si so ADDER А В C D
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