User:Anjuagrawal/Assignments II year/II Assignment

II Assessment

Q1. Convert the following decimal number into binary, octal and hexadecimal number 732.275 99.675

Q2. Convert the following binary number to Gray code 011011011010

Q3. Convert the following Gray number to binary code

Q4. Add the following numbers using the 2’s complement method (Use 8 bits) +38 and -22

Q5. What is a weighted code? Give an example

Q6. Perform BCD addition of 703 + 479

Q7. Show that positive logic NAND gate is a negative logic NOR gate and vice-versa

Q8. Simplify the Boolean expression

AB′ + ABC + A(B + AB′)

Q9. Express the function Y = AB + ACD in

a) Canonical SOP

b) Canonical POS form

Q10 Give a Boolean expression for the following statements

a)Y is a 1 only if A is a 1 and B is a 1 or if A is 0 and B is a 0

b)Y is a 1 only if A, B and C are all 1’s or if only one of the variables is 0.

Q11. Simplify the following function in Sum of Products

F(A,B,C,D) = ∑(0,1,2,5,8,9,10)