5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate. F(A,B,C) = AB + BC B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and B₁ Bo and an input carry C₁ using two 1-bit full adder circuits block diagram and external basic gates. Here output will be sum=$₁50 and output carry Co.

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5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate.
F(A,B,C) = AB + BC
B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and
B₂Bo and an input carry C; using two 1-bit full adder circuits block diagram and external
basic gates. Here output will be sum=s₁s and output carry Co.
6. A) Implement the following Boolean function with an 8-to-1-line multiplexer and external
basic gates.
F(W,X,Y,Z) = IIM (0,2,5,6,7,8,9,10)
B) Design an 8-to-1 -line multiplexer using 2-to-1 line multiplexers only. You need to use the
block diagram of the 2 to 1 line multiplexer.
7. A) Design a 4-input Priority Encoder with inputs D₂ D₂ D₂ Do. Derive the truth table of the
priority encoder where priority is set according to the following sequence of priority from
the highest to the lowest D₁ > D₂ > D₁ > D₂. Derive the Boolean expressions for outputs
and draw the circuit diagram.
B) Find the Boolean expressions of the outputs of a Hexadecimal to Binary encoder where
inputs are Ho, H₁, H₂, ...,H₁5 and outputs are A, B, C, D.
Excitation Tables for different Flip-Flops
Q(+) Q(++1)
D Operation
Q(†)_Q(t+1) JK
Operation
0
0
0
0
Reset
Set
0x
1 X
No change/reset
Set/complement
1 1
0
0
0 Reset
1
1 Reset/complement
1
1
Set
1
0 No change/set
Q(+1)
T
Operation
0
0
No change
1
1
Complement
Complement
0
1
1 0
No change
THOOK
0
0
1
Q(t)
0
0
1
1
1
0
1
OXX
Transcribed Image Text:5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate. F(A,B,C) = AB + BC B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and B₂Bo and an input carry C; using two 1-bit full adder circuits block diagram and external basic gates. Here output will be sum=s₁s and output carry Co. 6. A) Implement the following Boolean function with an 8-to-1-line multiplexer and external basic gates. F(W,X,Y,Z) = IIM (0,2,5,6,7,8,9,10) B) Design an 8-to-1 -line multiplexer using 2-to-1 line multiplexers only. You need to use the block diagram of the 2 to 1 line multiplexer. 7. A) Design a 4-input Priority Encoder with inputs D₂ D₂ D₂ Do. Derive the truth table of the priority encoder where priority is set according to the following sequence of priority from the highest to the lowest D₁ > D₂ > D₁ > D₂. Derive the Boolean expressions for outputs and draw the circuit diagram. B) Find the Boolean expressions of the outputs of a Hexadecimal to Binary encoder where inputs are Ho, H₁, H₂, ...,H₁5 and outputs are A, B, C, D. Excitation Tables for different Flip-Flops Q(+) Q(++1) D Operation Q(†)_Q(t+1) JK Operation 0 0 0 0 Reset Set 0x 1 X No change/reset Set/complement 1 1 0 0 0 Reset 1 1 Reset/complement 1 1 Set 1 0 No change/set Q(+1) T Operation 0 0 No change 1 1 Complement Complement 0 1 1 0 No change THOOK 0 0 1 Q(t) 0 0 1 1 1 0 1 OXX
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