Explore topic-wise InterviewSolutions in .

Right answer is (B) hexadecimal POINT

Best explanation: The DECIMAL is often referred to as the hexadecimal point in hexadecimal REPRESENTATION of NUMBERS.

It is referred to as the octal point in octal numbers.

The correct option is (C) (D5A)16

Explanation: To CONVERT octal to hexadecimal, we first WRITE binary FORMAT of the number and then make groups of 4 BITS from right to left, as follows:

Correct ANSWER is (a) 10

Easiest EXPLANATION: The 1’s COMPLEMENT of a number is OBTAINED by reversing the bits with value 1 to 0 and the bits with value 0 to 1.Here, 10.11 GETS converted to 01.00 in its 1’s complement format. Further, to convert 1’s complement into 2’s, we add 1 to the result.Here, 01.00+1=10.00.

Correct CHOICE is (a) (0B4)16

Explanation: To obtain the OCTAL equivalent, we take numbers in groups of 3, from right to leftas :

Correct answer is (d) 82

The best EXPLANATION: To convert a hexadecimal number to DECIMAL number:

16^1 * 5 + 16^0 * 2 = 80 + 2 = 82

Hence, the decimal EQUIVALENT is 82.

The correct CHOICE is (a) 557

Easy explanation: Octal subtraction is done as follows:

3A5

+1B2

________

557

In hexadecimal ADDITION of alphabets, we add the corresponding NUMBERS they represent and then subtract the result from 16, then generate a carry of 1 to the next set of numbers.

Here, 5+2=7

A+B=10+11=21-16=5

3+1+1(carry)=5.

The correct ANSWER is (B) E

Explanation: CERTAIN BINARY to hexadecimal REPRESENTATIONS are :

1010=A

1011=B

1100=C

1101=D

1110=E

1111=F.

Correct choice is (a) 4

To explain I would SAY: The hexadecimal number system COMPRISES of only 15 symbols: 10 digits and 5 symbols. HENCE, three bits (2^4 = 16) are sufficient to REPRESENT any hexadecimal number in the binary format.

The correct OPTION is (a) True

To explain: In a hexadecimal number SYSTEM, alphabets are used for the representation of NUMBERS from 10 to 15. Here, A represents 10, B represents 11 and C represents 12. Therefore, it is a VALID hexadecimal number.

Right ANSWER is (c) B01

For EXPLANATION: To convert octal to hexadecimal, we FIRST write binary format of the number and then make groups of 4 bits from right to left, as follows:

The correct option is (a) 1.010

To ELABORATE: The 1’s complement of a NUMBER is obtained by reversing the bits with value 1 to 0 and the bits with value 0 to 1.

Here, 0.101 gets CONVERTED to 1.010 in its 1’s complement FORMAT.

Right choice is (a) 165

Easy 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.

Right answer is (c) 224

The explanation is: To obtain the octal EQUIVALENT, we take NUMBERS in GROUPS of 3, from right to leftas :

Correct ANSWER is (B) 18

To EXPLAIN: To convert an octal number to decimal number:

8^1 * 2 + 8^0 * 2 = 16 + 2 = 18.

Hence, the decimal equivalent is 18.

Right answer is (b) 7

Explanation: The MAXIMUM value in any NUMBER system is one less than the value of the base. The base in an octal number system is 8, therefore, the maximum value of the single digit is 7. It TAKES DIGITS from 0 to 7.

Right option is (a) True

For explanation I would say: In a number system, EVERY DIGIT is denoted by a specific power of base. Like in an OCTAL system, CONSIDER the number 113, it will be represented as :

8^2 * 1 + 8^1 * 1 + 8^0 *3.

Right answer is (d) (000)2

To explain: 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.

The CORRECT option is (a) True

To elaborate: A bit STANDS for a binary digit. A binary digit can have only two digits i.e. 0 or 1. A binary number CONSISTING of n-bits is called an n-bit number.

Right choice is (B) E

Explanation: In HEXADECIMAL number system, 1110 = 15, which is represented by the ALPHABET E.

Some representations are:

A10

B11

C12

D13

E14

F15.

The correct CHOICE is (c) 1010

To explain: 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 .

The correct answer is (a) machine language

For explanation I would say: 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 CORRECT answer is (b) 145.12

To explain I would say: 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,

i.e. 145.12 is the octal equivalent of the number.

Correct OPTION is (a) Roman NUMBER SYSTEM

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 CORRECT option is (a) 2

To ELABORATE: 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 correct choice is (b) G is valid in hexadecimal system.

Explanation: G is not a valid hexadecimal number. In this system, only representations from A to E are used to REPRESENT the numbers from 10 to 15. The base of the hexadecimal number system is 16.

Right answer is (C) 99.9A

Easy EXPLANATION: All the numbers except 99.9A are decimal numbers.

This NUMBER has a hexadecimal COMPONENT A in it, THEREFORE , it is not a valid decimal number.

The decimal equivalent of A is 10.

Right choice is (b) False

For explanation: In a decimal NUMBER system, a number with both integer and a FRACTIONAL PART has digits raised to both POSITIVE and negative powers of 10 and not 2.

e.g. 22.34 = 2 * 10^1 + 2 * 10^0 + 3 * 10^-1 + 4 * 10^-2.

Correct choice is (B) radix

The BEST I can explain: Another name for base is radix. Base REFERS to the number of digits that a particular number system consists of.

The base of decimal number system is 10, binary is 2 and so on.

Right ANSWER is (b) 0.625

The BEST explanation: Since the base is 2 , it could be easily GUESSED that the NUMBER is binary. Conversion: 2^-1 * 1 + 2^-2 * 0 + 2^-3 * 1 =0.625.

Right answer is (c) 10

To elaborate: A decimal NUMBER system consists of 10 DIGITS from 0 to 9.

The definition of BASE describes it as a quantity to represent the number of digits PRESENT in that particular number system.

Therefore, here, the base is 10.

The CORRECT choice is (a) American standard code for INFORMATION interchange

Explanation: ASCII is an encoding standard which is used for communications worldwide. ASCII codes are ALLOTTED to digits, special characters and ALPHABETS for data communication PURPOSE.

The correct choice is (b) Binary CODED DECIMAL

For explanation: BCD is the binary coded decimal form of representation of NUMBERS in 4 bits.E.g. The BCD representation of 5 is 0101. BCD representation of 22 is 00100010.

Correct choice is (a) Abacus

The explanation: Abacus was used to doing ARITHMETIC calculations around 2500 years AGO. Pascaline was the PASCAL’s calculator by BLAISE Pascal invented for doing LABORIOUS calculations.

The CORRECT answer is (a) 1011

The best explanation: The 2’s complement is OBTAINED by adding 1 to the 1s complement of a number. The 1’s complement of 5(0101) is 1010. For 2’s complement : 1010+1=1011.

The correct answer is (a) IIIII

To elaborate: In a non-positional NUMBER system, 1 is REPRESENTED as I, 2 as II, 3 as III, 4 as IIII and THEREFORE, 5 is represented as IIIII. This number system uses symbols for the representation of digits.

Correct answer is (c) 7, 1

Explanation: The LSB or the least SIGNIFICANT BIT is the rightmost digit at the zeros position. The MSB or the most significant bit is the LEFTMOST digit.

The correct ANSWER is (a) TRUE

Explanation: The statement is true. In a positional number system, base is the number of digits the system COMPRISES.For example, a binary number system comprises of only 2 digits, 0 and 1, therefore its base is 2. Similarly, the decimal system comprises 10 digits 0 to 9, therefore its base is 10.

Right option is (d) Fractional

To EXPLAIN I WOULD say: There are two main types of number SYSTEMS : Positional & Non-positional.

Positional SYSTEM uses digits for the representation whereas, non-positional number systems use certain symbols for the representation of numbers. Octal is a type of positional number systems with base 8.