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Digital Electronics (Weekend Assignment - 1)

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

AB + AB'C + AB'C' then minimum number of NAND gates required to realize the given Boolean expression?

a)

0

b)

1

c)

2

d)

3

2.

Advantages of Minimization

a)

Number of logic gates decreases

b)

speed of operations will increates

c)

power dissipation will reduce

d)

Complexity of circuit is less

e)

Fan-in may be reduces

3.

Minimize the given Boolean Function f(A, B, C, D)=AB' + ABC' + AB'C'D

(a)  

4.

Minimize the given Boolean function f(X, Y, Z) = (X' + Y) (X' + Z)

(a)  

5.

Simplify: (A + B) (A + B') (A' + B) (A' + B')

(a)  

6.

Simplify: AB + A'B' + AB'

(a)  

7.

Simplify: AB + A'B + AB'

(a)  

8.

ABC' + ABC + A'BC

(a)  

9.

Let f(A, B) = A' + B, then the value of f( f( x+y, y), z) is

a)

xy + z

b)

xy' + z

c)

x'y + z

d)

x

10.

Let x * y = x' + y, z = x * y

then the value of z * x is

a)

x

b)

1

c)

0

d)

x'

11.

Simplify the expression for f(A,B) = Σ\Sigma  m (0, 2, 3)

(a)  

12.

In canonical SOP or standard form, the min terms in logical expression, A' + BC is

a)

4

b)

5

c)

6

d)

7

13.

Write the dual expression of the following expression:

ABC' + A'BC + ABC

(a)  

14.

The given function is self dual or not:

AB + BC + AC

a)

Yes

b)

No

c)

data insufficient

d)

None of the above

15.

Write the complement of the following function:

ABC + A'BC + AB'C

(a)