CPE416 Bumanglag One Last Ride

Which of the following is not a positional number system ?

• a) Roman Number System

• b) Octal Number System

• c) Binary Number System

• d) Hexadecimal Number System

Answer explanation

The Roman number system isn’t a positional number system since it uses symbols to represent numbers.
The octal number system uses digits from 0-7, the binary number system uses digits from 0-1 whereas, the hexadecimal number system uses digits from 0-15

The value of radix in binary number system is ?

• a) 2

• b) 8

• c) 10

• d) 1

Answer explanation

Answer: a
Explanation: In a binary number system, the value of base or radix is 2. The binary system uses only two digits for the representation of numbers, therefore its base id has chosen to be 2.

The binary equivalent of the decimal number 10 is. ?

• a) 0010

• b) 10

• c) 1010

• d) 010

Answer explanation

Answer: c
Explanation: To get the binary equivalent of any number, we need to divide the number by 2 and obtain the remainders as

We then write the remainders in the reverse order as 1010 .

A computer language that is written in binary codes only is _______________ ?

• a) machine language

• b) C

• c) C#

• d) pascal

Answer explanation

Answer: a
Explanation: Machine Language is written in binary codes only. It can be easily understood by the computer and is very difficult for us to understand. A machine language, unlike other languages, requires no translators or interpreters.

The octal equivalent of 1100101.001010 is _____ ?

• a) 624.12

• b) 145.12

• c) 154.12

• d) 145.21

Answer explanation

Answer: b
Explanation: The octal equivalent is obtained by grouping the numbers into three, from right to left before decimal and from right to left after the decimal place.
Here,

The input hexadecimal representation of 1110 is ?

• a) 0111

• b) E

• c) 15

• d) 14

Answer explanation

Answer: b
Explanation: In hexadecimal number system, 1110 = 15, which is represented by the alphabet E.
Some representations are:
A 10
B 11
C 12
D 13
E 14
F 15.

Octal subtraction of (232)₈ from (417)₈ will give ?

• a) 165

• b) 185

• c) 815

• d) 516

Answer explanation

Answer: a
Explanation: Octal subtraction is done as follows:
417
– 232
________
165
The octal subtraction is the same as that of any other number system. The only difference is, like in a decimal number system, we borrow a group of 10, in a binary system we borrow a group of 2, in an octal number system, we borrow in groups of 8.

Convert the binary equivalent 10101 to its decimal equivalent. ?

• a) 21

• b) 12

• c) 22

• d) 31

Answer explanation

Answer: a
Explanation: To convert a binary number to its decimal equivalent follow these steps :
2⁴ 1 + 2³ 0 + 2² 1 + 2¹ 0 + 2⁰ * 1 = 21.
Therefore, the answer is 21.

Which of the following is not a binary number ?

• a) 1111

• b) 101

• c) 11E

• d) 000

Answer explanation

Answer: c
Explanation: A binary number can have only two possible digits, 0 and 1. In the third option, there is an alphabet E present which makes it an invalid binary number. Alphabets are only allowed in the hexadecimal number system.

Which of the following is the correct representation of a binary number ?

• a) (124)₂

• b) 1110

• c) (110)²

• d) (000)₂

Answer explanation

Answer: d
Explanation: The binary numbers should comprise only two digits 0 and 1.
Also, for the base, the value should be 2 and it should be written as a subscript enclosing the entire number. Here, the fourth option gives the correct representation.