Unit I Digital Fundamentals

Convert (0.35)₁₀ to equivalent hexadecimal number.

• (0.599)₁₆

• (0.6399)₁₆

• (0.558)₁₆

• (0.99)₁₆

State Demorgan’s Theorem.

• (AB)' = A + B

  (A + B)' = AB

• (AB) = A' + B'

  (A + B) = A'B'

• (AB)' = A' + B'

  (A + B)' = A'B'

• AB = A + B

  A + B = AB

Distributive Law is

• a+(b+c) = a.b + a.c

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

• a.(b+c) = a.b + a.c

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

• a.(b+c) = a.b + a.c

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

• a.(b+c) = a.b.c+ a.c

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

A.1=

• 1

• A

• 0

• A'

A.A'

• A.A

• A

• 0

• 1

(29AB)₁₆=

• (101001011)₂

  (24765)₈

• (10100110101011)₂

  (24653)₈

• (110000110101011)₂

  (24658)₈

• (1010101011)₂

  (2489)₈

Define ‘min term’

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

  uncomplemented form is called a min term.

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

  uncomplemented form is called a min term.

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

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

Define max term.

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

  uncomplemented form is called a max term.

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

  uncomplemented form is called a max term.

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

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

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

(BC′+A′D)(AB′+CD′)

• 1

• 0

• BC

• ABC

• F(A,B)=A.B

• F(A,B)=A'+B

• F(A,B)=A+B

• F(A,B)=A+B'