Logic Gates: Important Part B Questions

Applied Physics CSIE II:

UNIT II: Logic Gates

IMPORTANT PART B QUESTIONS

1. Explain the process of converting a binary number to a decimal number with suitable examples. Also convert the following binary numbers to decimal:

a) 101101₂

b) 1100101₂

c) 100011.101₂

2. Describe the step‒by‒step method for converting a decimal number to a binary number. Convert the following decimal numbers to binary:

a) 45₁₀

b) 156₁₀

c) 29.75₁₀

3. Explain Binary Coded Decimal (BCD) code in detailand write the BCD representation for the following decimal numbers:

a) 59

b) 247

c) 1038

d)102.36

e) 3.047

4. Explain why NAND and NOR gates are called universal gates. Show how to implement NOT, AND, and OR gates using only NAND gates. Draw neat logic diagrams.

5. Explain the steps for designing combinational logic circuits using NAND or NOR gates. Apply the method to design a circuit for the function:F=AB'+A'C+BC using NAND gates only.

6. Explain in detail the basic logic gates: AND, OR, NOT, NAND, NOR, XOR, and XNOR. Write their truth tables, symbols, and Boolean expressions.

7. Simplify the following Boolean functions with a multiplexer:

F(w,x,y,z) = Σ (2,3,5,6,11,14,15)

8. Simplify the following Boolean into (i) SOP form and (ii) POS form and simplified functions using AND, OR gates.

F(A,B,C,D) = Σ (0,1,2,5,8,9,10)

9. Simplify the Boolean function in SOP and POS

F(A,B,C,D) = Σ m(0,1,2,5,8,9,10)

10. Plot the following Boolean function in k‒map andsimplify it.

F(w,x,y,z) = Σ m (0,1,2,4,5,6,8,9,12,13,14).

11. Simply the following Boolean expression in (i) sum of product (ii) product of sum using k‒map.

AC' + B'D+A'CD+ABCD

12. Simply the function F(w,x,y,z) = Σm(2,3,12,13,14,15) using K‒map

13. Simplify the given boolean function in POS form using K‒map and draw the logic diagram using Only NOR gates.

F(A,B,C,D)= Σm (0,1,4,7,8,10,12,15)+d(2,6,11,14).

14. Explain the graphic symbol, logical expression and truth table for various gates.

15. Convert the following number

i) (63)₁₀ = (?)₂

ii) (101101)₂ = (?)₁₀

iii) (1101.101)₂ = (?)₁₀

iv) (43.625)₁₀ = (?)₂