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Unit I Digital Fundamentals

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Convert (0.35)10 to equivalent hexadecimal number.

a)

(0.599)16

b)

(0.6399)16

c)

(0.558)16

d)

(0.99)16

2.

State Demorgan’s Theorem.

a)

(AB)' = A + B

(A + B)' = AB

b)

(AB) = A' + B'

(A + B) = A'B'

c)

(AB)' = A' + B'

(A + B)' = A'B'

d)

AB = A + B

A + B = AB

3.

Distributive Law is

a)

a+(b+c) = a.b + a.c

a+b.c = (a+b)+(a+c)

b)

a.(b+c) = a.b + a.c

a+b.c = (a+b).(a+c)

c)

a.(b+c) = a.b + a.c

a+b+c = (a+b).(a+c)

d)

a.(b+c) = a.b.c+ a.c

a+b.c = (a+b).(a+c)

4.

A.1=

a)

1

b)

A

c)

0

d)

A'

5.

A.A'

a)

A.A

b)

A

c)

0

d)

1

6.

(29AB)16=

a)

(101001011)2

(24765)8

b)

(10100110101011)2

(24653)8

c)

(110000110101011)2

(24658)8

d)

(1010101011)2

(2489)8

7.

Define ‘min term’

a)

A product term containing all the variables of the function in either complemented or

uncomplemented form is called a min term.

b)

A sum term containing all the variables of the function in either complemented or

uncomplemented form is called a min term.

c)

A product term containing all the variables of the function is called a min term.

d)

A sum term containing all the variables of the function is called a min term.

8.

Define max term.

a)

A product term containing all the variables of the function in either complemented or

uncomplemented form is called a max term.

b)

A sum term containing all the variables of the function in either complemented or

uncomplemented form is called a max term.

c)

A sum term containing all the variables of the function is called a max term.

d)

A product term containing all the variables of the function is called a max term.

9.

Simplify the following Boolean Expression to a minimum number of literals.

(BC′+A′D)(AB′+CD′)

a)

1

b)

0

c)

BC

d)

ABC

10.

Simplify using k-map F(A,B)= Σ\Sigma (1,2,3)

a)

F(A,B)=A.B

b)

F(A,B)=A'+B

c)

F(A,B)=A+B

d)

F(A,B)=A+B'