Digital Logic - Number representation and computer arithmetic

56:  

The binary equivalent of the octal numbers 13.54 is

A.

1011.1011

B.

1101.1110

C.

1000.1110

D.

all of these

 
 

Option: A

Explanation :

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57:   The octal equivalent of 111 010 is
A. 81
B. 72
C. 71
D. all of these
 
 

Option: B

Explanation :

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58:  

Consider excess-3 code that is used to represent integers 0 through 9 as shown below :

 

Number

Code ( a b c d )

0

1100

1

0010

2

1010

3

0110

4

1110

5

0001

6

1001

7

0101

8

1101

9

0011

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Which of the following expressions is the correct one for an invalid code ?

A.

b' . c' . d' + c . d

B.

b' . c' . d' + a . c . d

C.

b' . c' . d' + b . c . d + a . c . d + b' . c' . d'

D.

b' . c' . d' + b . c . d + a . c . d

 
 

Option: C

Explanation :

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59:  

in 2's complement addition , overflow

A.

is flagged whenever there is carry from sign bit addition

B.

cannot occue when a positive value is added to a negative value

C.

is flagged when the carries from sign bit and previous bit match

D.

none of these

 
 

Option: D

Explanation :

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