Classical

Digital Logic - Number representation and computer arithmetic

6:  

A decimal number has 25 digits. The number of bits needed for its equivalent binary representation is, approximately

A.

50

B.

55

C.

85

D.

80

 
 

Option: C

Explanation :

The largest decimal number with 25 digits is 9,999,999,999,999,999,999,999,999. The smallest decimal number in the form 2n-1 which is greater than or equal to that is 19,342,813,113,834,066,795,298,815. That corresponds to 284-1. So, the minimum number of binary bits required to represent the decimal number 25 nines in a row is 84.

This is 84 ones in a row. If you want to support negative as well as positive numbers, you will need 85.


7:   Decimal number 5 in level parity self correcting code is
A. 10000
B. 01011
C. 01100
D. 01101
 
 

Option: B

Explanation :


8:  

The decimal number 80 can be represented in BCD code as

A.

1000 0001

B.

0101 0000

C.

0010 0001

D.

1000 0000

 
 

Option: D

Explanation :


9:  

How many fractional digits 2-48 will have?

A.

24

B.

47

C.

49

D.

48

 
 

Option: D

Explanation :


10:  

 The 10's complement of (715)8 is

A.

63

B.

539

C.

285

D.

395

 
 

Option: B

Explanation :




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Syllabus covered in this section is-

  • Logic functions, Minimization,
  • Design and synthesis of combinational and sequential circuits
  • Number representation and computer arithmetic (fixed and floating point)
  • Propositional (Boolean) Logic
  • Satisfiability and Tautology
  • Logic Families: TTL, ECL and C-MOS gates.
  • Boolean algebra and Minimization of Boolean functions
  • Flip-flops-types, race condition and comparison.
  • Design of combinational and sequential Circuits
  • Representation of Integers: Octal, Hex. Decimal and Binary.
  •  2's complement and 1 's complement arithmetic
  • Floating point representation.

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