1.
Find the decimal equivalent of 1010101
A)
75
B)
85
C)
1010101
D)
101010
Option
B 85
Explanation: 1010101
1*26=64
|
0*25=0
|
1*24=16
|
0*23=0
|
1*22=4
|
0*21=0
|
1*20=1
|
64+0+16+0+4+0+1=85
2.
If 110011002 is divided by 1102 the
quotient is
A)
11011
B)
1111
C) 100010
D)
100001
3.
The given hexadecimal number (1E.53)16 is
equivalent to ____________
a) (35.684)8
b) (36.246)8
c) (34.340)8
d) (35.599)8
a) (35.684)8
b) (36.246)8
c) (34.340)8
d) (35.599)8
Answer: b
Explanation: First, the hexadecimal number is converted to it’s equivalent binary form, by writing the binary equivalent of each digit in form of 4 bits. Then, the binary equivalent bits are grouped in terms of 3 bits and then for each of the 3-bits, the respective digit is written. Thus, the octal equivalent is obtained.
(1E.53)16 = (0001 1110.0101 0011)2
= (00011110.01010011)2
= (011110.010100110)2
= (011 110.010 100 110)2
= (36.246)8
Explanation: First, the hexadecimal number is converted to it’s equivalent binary form, by writing the binary equivalent of each digit in form of 4 bits. Then, the binary equivalent bits are grouped in terms of 3 bits and then for each of the 3-bits, the respective digit is written. Thus, the octal equivalent is obtained.
(1E.53)16 = (0001 1110.0101 0011)2
= (00011110.01010011)2
= (011110.010100110)2
= (011 110.010 100 110)2
= (36.246)8
1. In
hexadecimal system E stands for
A.
5
B.
14
C.
2
D.
15
Ans is Option B : 14
A=10
B=11
C=12
D=13
E=14
The last number of octal number system
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