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Which of the following is not a positional number system?
A.
A) Roman Number System
B.
B) Octal Number System
C.
C) Binary Number System
D.
D) Hexadecimal Number System
Correct Answer A. A) Roman Number System
Explanation The Roman Number System is not a positional number system because it does not rely on the position of digits to determine their value. Instead, it uses a combination of letters to represent numbers. In a positional number system, such as octal, binary, or hexadecimal, the value of a digit is determined by its position in the number.
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2.
The value of radix in binary number system is _____________
A.
A) 2
B.
B) 8
C.
C) 10
D.
D) 1
Correct Answer A. A) 2
Explanation The value of radix in the binary number system is 2. The radix represents the base or the number of unique digits used in a number system. In the binary system, only two digits, 0 and 1, are used to represent numbers. Therefore, the radix in the binary system is 2.
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3.
The binary equivalent of the decimal number 10 is __________
A.
A) 0010
B.
B) 10
C.
C) 1010
D.
D) 010
E.
Option 5
Correct Answer C. C) 1010
Explanation The binary equivalent of a decimal number is obtained by repeatedly dividing the decimal number by 2 and noting the remainders. The remainders, when read from bottom to top, give the binary equivalent. In this case, dividing 10 by 2 gives a quotient of 5 and a remainder of 0. Dividing 5 by 2 gives a quotient of 2 and a remainder of 1. Dividing 2 by 2 gives a quotient of 1 and a remainder of 0. Dividing 1 by 2 gives a quotient of 0 and a remainder of 1. Reading the remainders from bottom to top gives the binary equivalent 1010.
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4.
Which of the following is the correct representation of a binary number?
A.
A) (124)_{2}
B.
B) 1110
C.
C) (110)^{2}
D.
D) (000)_{2}
Correct Answer D. D) (000)_{2}
Explanation The correct representation of a binary number is a sequence of 0s and 1s. In this case, option d) (000)2 is the correct answer as it represents a binary number with three digits, all of which are 0.
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5.
The value of base in a decimal number system is ________
Correct Answer 10
Explanation In a decimal number system, the base is always 10. This means that each digit in a decimal number can have 10 possible values, ranging from 0 to 9. The position of each digit in the number represents a power of 10. For example, in the number 123, the digit 1 represents 100 (10^2), the digit 2 represents 20 (10^1), and the digit 3 represents 3 (10^0). Therefore, the base of 10 is fundamental to the decimal system.
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6.
A bit in a computer terminology means either 0 or 1. true or false?
A.
True
B.
False
Correct Answer A. True
Explanation In computer terminology, a bit refers to the smallest unit of information that can be stored or manipulated by a computer. It can only have two possible values, either 0 or 1. These values are commonly associated with true or false, representing the binary system used by computers to process and store data. Therefore, the statement "A bit in computer terminology means either 0 or 1" is true.
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7.
In a number system, each position of a digit represents a specific power of the base.
A.
True
B.
False
Correct Answer A. True
Explanation In a number system, each position of a digit represents a specific power of the base. This means that the value of a digit in a number is determined by its position and the base of the number system. For example, in the decimal system, the value of the digit in the units place is multiplied by 10^0, the value of the digit in the tens place is multiplied by 10^1, and so on. This concept applies to other number systems as well, such as binary, octal, and hexadecimal. Therefore, the statement is true.
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8.
What could be the maximum value of a single digit in an octal number system?
A.
A) 8
B.
B) 7
C.
C) 6
D.
D) 5
Correct Answer B. B) 7
Explanation In an octal number system, the digits range from 0 to 7. Therefore, the maximum value of a single digit in an octal number system is 7.
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9.
The maximum number of bits sufficient to represent an octal number in binary is _______
A.
A) 4
B.
B) 3
C.
C) 7
D.
D) 8
Correct Answer B. B) 3
Explanation To represent an octal number in binary, we need to convert each octal digit to its binary equivalent. Since each octal digit can be represented by 3 bits in binary (as there are 8 possible combinations of 3 bits), the maximum number of bits required to represent an octal number is 3. Therefore, the correct answer is b) 3.
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10.
The binary number 111 in octal format is ________________
A.
A) 6
B.
B) 7
C.
C) 8
D.
D) 5
Correct Answer B. B) 7
Explanation The binary number 111 represents the decimal number 7. In octal format, each digit represents three binary digits. Therefore, the binary number 111 can be split into three digits: 1, 1, and 1. Each digit can then be converted to its octal equivalent, which is 1. Combining the three octal digits gives the octal number 111, which is equivalent to the decimal number 7.