easyCSIT

#Answer

Represent A and B in Binary:
- A = 46 (decimal) = 101110 (binary)
- B = 35 (decimal) = 100011 (binary)
Determine 1's Complement of B:
- B = 100011
- 1's Complement of B = 011100 (invert all bits)

Perform Addition of A and 1's Complement of B:

  A          =  101110
  1's Comp B = +011100
  --------------------
  Sum        =  1001010

Handle End-Around Carry:
- The sum results in a 7-bit number, indicating a carry-out from the most significant bit.
- The carry-out is '1'.
- Add this carry-out back to the least significant bit of the 6-bit result:
```
  001010 (6-bit sum, ignoring carry)
+      1 (End-around carry)
--------------------
     001011
```
Final Result:
- The result in binary is 001011.
- Converting back to decimal: 0*32 + 0*16 + 1*8 + 0*4 + 1*2 + 1*1 = 8 + 2 + 1 = 11.
- Therefore, A - B = 46 - 35 = 11.

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Digital Logic

Community

Digital Logic

2081 Boards

Section A

Answer any two questions.

1

Differentiate between synchronous and asynchronous counter. Design a 3-bit synchronous binary counter using T Flip Flop. Draw its timing diagram.

2

Explain De-Morgan’s Law. Simplify the Boolean function F(P,Q,R,S) =Π(0,1,4,5,11,14,15) and d(P,Q,R,S) =Σ(2,3,7,8,9,13) using K-Map in both SOP and POS form.

Section B

Answer any eight questions.

4

Given A=46 and B=35 represent them in binary and perform A-B using 1’s complement method.

5

What is Multiplexer. Design 8 to 1 Multiplexer with low level Multiplexers.

6

Write about D flip flop with necessary circuit, block diagram, characteristic table and equation.

7

Simplify F(A, B, C, D) = Σ(1,3,4,6,9,11,12,14) and realize the equation using NOR gates only.

8

Mention different types of shift registers. Explain SIPO with timing diagram.

9

What is decoder? Describe the 3 to 8 line decoder circuit.

10

Explain state diagram, state table, state reduction and state assignment with suitable example.

11

Design a 2 bit asynchronous binary counter using T flip flop. Draw its timing diagram.

12

Write short notes on:

Encoder
Error detection codes

Community

Digital Logic

2081 Boards

Section A

Answer any two questions.

1 Differentiate between synchronous and asynchronous counter. Design a 3-bit synchronous binary counter using T Flip Flop. Draw its timing diagram.

2 Explain De-Morgan’s Law. Simplify the Boolean function F(P,Q,R,S) =Π(0,1,4,5,11,14,15) and d(P,Q,R,S) =Σ(2,3,7,8,9,13) using K-Map in both SOP and POS form.

Section B

Answer any eight questions.

4 Given A=46 and B=35 represent them in binary and perform A-B using 1’s complement method.

5 What is Multiplexer. Design 8 to 1 Multiplexer with low level Multiplexers.

6 Write about D flip flop with necessary circuit, block diagram, characteristic table and equation.

7 Simplify F(A, B, C, D) = Σ(1,3,4,6,9,11,12,14) and realize the equation using NOR gates only.

8 Mention different types of shift registers. Explain SIPO with timing diagram.

9 What is decoder? Describe the 3 to 8 line decoder circuit.

10 Explain state diagram, state table, state reduction and state assignment with suitable example.

11 Design a 2 bit asynchronous binary counter using T flip flop. Draw its timing diagram.

12 Write short notes on: Encoder Error detection codes

1

Differentiate between synchronous and asynchronous counter. Design a 3-bit synchronous binary counter using T Flip Flop. Draw its timing diagram.

2

Explain De-Morgan’s Law. Simplify the Boolean function F(P,Q,R,S) =Π(0,1,4,5,11,14,15) and d(P,Q,R,S) =Σ(2,3,7,8,9,13) using K-Map in both SOP and POS form.

4

Given A=46 and B=35 represent them in binary and perform A-B using 1’s complement method.

5

What is Multiplexer. Design 8 to 1 Multiplexer with low level Multiplexers.

6

Write about D flip flop with necessary circuit, block diagram, characteristic table and equation.

7

Simplify F(A, B, C, D) = Σ(1,3,4,6,9,11,12,14) and realize the equation using NOR gates only.

8

Mention different types of shift registers. Explain SIPO with timing diagram.

9

What is decoder? Describe the 3 to 8 line decoder circuit.

10

Explain state diagram, state table, state reduction and state assignment with suitable example.

11

Design a 2 bit asynchronous binary counter using T flip flop. Draw its timing diagram.

12

Write short notes on:

Encoder
Error detection codes