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11. What could be the maximum value of a single digit in an octal number system?
A. 8
B. 7
C. 6
D. 2
ANSWER:B
SOLUTION :The maximum value of a single digit in an octal number system is \(7\).
12. There are how many types of number system?
A. One
B. Two
C. Three
D. Four
ANSWER: D
SOLUTION:The four most common number system types are: Decimal number system (Base- 10) Binary number system (Base- 2) Octal number system (Base-8)
13. How will you represent ‘87’ in this code language?
A. 1110001
B. 1010111
C. 0111011
D. 1111001
ANSWER:B
SOLUTION:The binary representation of ’87’ is the sequence of remainders, written in reverse order. Therefore, the binary representation of ’87’ is ‘1010111’.
14. The digital systems usually operate on ____ system.
A. Binary
B. Decimal
C. Octal
D. Hexadecimal
ANSWER:A
SOLUTION:The digital systems usually operate on binary number system.
15. The number system which contain 8 different symbols 0,1,2,3,4,5,6 & 7 is _______.
A. Hexadecimal
B. Octal
C. Binary
D. Decimal
ANSWER:B
SOLUTION:The number system that contains \(8\) different symbols \(0\), \(1\), \(2\), \(3\), \(4\), \(5\), \(6\), and \(7\) is the octal number system.
16. (393)10= ?
A. 110001101
B. 110010101
C. 110101011
D. 110000001
ANSWER: A
SOLUTION:393 / 2 = 196 remainder 1
196 / 2 = 98 remainder 0
98 / 2 = 49 remainder 0
49 / 2 = 24 remainder 1
24 / 2 = 12 remainder 0
12 / 2 = 6 remainder 0
6 / 2 = 3 remainder 0
3 / 2 = 1 remainder 1
1 / 2 = 0 remainder 1
Reading the remainders in reverse order, we get the binary number 110001101.
Therefore, (393)10 in computer number is 110001101.
17. The input hexadecimal representation of 1110 is ___.
A. 0111
B. E
C. 15
D. 14
ANSWER: B
SOLUTION: In hexadecimal number system, 1110 = 15, which is represented by the alphabet E.
18. Convert (22)8 into its corresponding decimal number______.
A. 28
B. 18
C. 81
D. 82
ANSWER:B
SOLUTION: Convert the octal number to decimal by multiplying each digit by the corresponding power of \(8\) and adding the results.Multiply each digit by the corresponding power of \(8\). \((22)_{8}=2\cdot 8^{1}+2\cdot 8^{0}\) Add the results. \(2\cdot 8^{1}+2\cdot 8^{0}=16+2=18\)The decimal equivalent of \((22)_{8}\) is \(18\).
19. The octal equivalent of the binary number (010010100)2 is ___________.
A. 422
B. 242
C. 224
D. 226
ANSWER: C
SOLUTION:To obtain the octal equivalent, we take numbers in groups of 3, from right to left as : 000 010 010 100 0 2 2 4 = (224)8.