EXAM DSD

SIMPLIFY THE FOLLOWING BOOLEAN EXPRESSION

• 1

• 0

• A

• A'

FIND THE HAMMING CODE FOR 7-BIT DATA

1 0 0 1 1 0 1 (EVEN PARITY)

• 1 0 1 0

• 0 1 0 1

• 0 1 1 0

• 0 1 1 1

CONVERT THE GIVEN GRAY CODE TO DECIMAL

1 0 1 1 0 0 1 0

• 202

• 220

• 222

• 221

A final product of a plant is checked on two parameters: weight and size, using three sensors S1, S2, and S3. If weight is not up to acceptable limit, then S1=1, if diameter is below the limit S2=1 and S3=1 for diameter higher than the limit. The product is rejected if it is too large or both too small and too light. The rejection function R can be related as

• R = S1+S2+S3

• R = S1.S2.S3

• R = S1+S2.S3

• R = S1.S2+S3

DETERMINE WHICH OF THE FOLLOWING EXPRESSIONS ARE EQUIVALENT TO

A⊙B

• A' ⊕ B

• A' ⊙ B

• A ⊙ B'

• A' ⊕ B'

The value of base x, if (211) base x = (152) base 8:

• x = 4

• x = 3

• x = 7

• x = 5

WHAT MUST BE THE INPUT GIVEN TO 'R'

WHEN SR FLIPFLOP IS CONVERTED TO JK

• JQ'

• JQ

• KQ

• K'Q

FIND THE MINTERMS AND MAXTERMS FOR THE EQUATION

• MINTERMS:125

  MAXTERMS:03467

• MINTERMS:135

  MAXTERMS:02467

• MINTERMS:124

  MAXTERMS:03567

• MINTERMS:136

  MAXTERMS:02457

One of most desired feature for a digital design used in VLSI circuits is:

• SCALABILITY

• Low complexity

• High thermal dissipation

• Low power dissipation

SIMPLIFY THE FOLLOWING BOOLEAN EXPRESSION

• 1

• B

• 0

• B'