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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