### Number System - 1

 Description: Number System - 1 Number of Questions: 15 Created by: Karuna Seth Tags: Number System - 1 Basic Fundamentals Hardware and Software Programming Fundamentals of Computer Programming Number System Number System and Its Application
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Find the binary value of (1A03)16.

1. 0001101000000011

2. 1110001110100101

3. 0101010101010101

4. 1010101010101010

Correct Option: A

Convert (765)8 to the base 16.

1. (1F5)16

2. (3E6)16

3. (2E5)16

4. (F05)16

Correct Option: A

The binary number 111010 on conversion to octal number is ______.

1. 81

2. 72

3. 71

4. 38

Correct Option: B

Hexadecimal equivalent of (316)10 is _______.

1. 13C

2. 13D

3. 12C

4. 23C

Correct Option: A

Basic mathematical operation(s) used by a computer is/are _____.

2. subtraction

4. addition, subtraction, multiplication and division

Correct Option: D

The number 39 when represented in 2’s complement form is

1. 11011001

2. 12111

3. 110111

4. none of these

Correct Option: A

The binary number (1101.111)2 when represented by floating point notation is

1. (.1101111 x 24)

2. (1101111)2

3. (.1101111)2

4. none of these

Correct Option: A

An arbitrary number system has a radix of 32 with ‘0’ to ‘9’ and ‘A’ to ‘V’ as its 32 basic digits, ‘0’ being the first and ‘V’ being the 32nd. The number immediately following ‘V’ in the arbitrary number system will be

1. (V0)32

2. (10)32

3. (V1)32

4. none of these

Correct Option: B

Binary number (1110101)2, when converted into an equivalent decimal number gives the result as

1. 117

2. 58

3. 116

4. 57

Correct Option: A

The numbers that come immediately after and before hexadecimal number (FFEF)16 are, respectively

1. (FFF0)16 and (FFE0)16

2. (FFFE)16 and (FEE0)16

3. (FFF0)16 and (FFFE)16

4. (FFF0)16 and (FFEE)16

Correct Option: D

Binary number (1101)2 when added to another binary number (101)2 yields

1. 10010

2. 13

3. 11010

4. 11001

Correct Option: A

An arbitrary number system has a radix of 32 with ‘0’ to ‘9’ and ‘A’ to ‘V’ as its 32 basic digits, ‘0’ being the first and ‘V’ being the 32nd. Decimal number (128)10 in this arbitrary number system

1. can be expressed as (40)32

2. is (128)32

3. is (100)32

4. cannot be determined from the given data

Correct Option: A

What is the 10’s complement of the decimal number 56789?

1. 01234

2. 12345

3. 43210

4. 43211

Correct Option: D
Explanation:

First we find out 9’s complement as follows: 99999 - 56789 = 43210 Then we add, 43210 + 1 = 43211.

The largest natural number, which is represented as base 7 having exactly four digits is

1. 2400

2. 6666

3. 2401

4. 2403

Correct Option: A
Explanation:

When the base is 7, then number of 4-digits numbers which can be represented is 74 = 2401 with a range from 0000-2400. Hence, 2400 is the right answer.

Amongst the following 4-bit groups, pick the one that is forbidden in 8421 BCD code:

1001, 1, 1010, 2, 0101, 0110

1. 1001

2. 0110

3. 1010

4. 2

Correct Option: C
Explanation:

1010 is a forbidden code in the above series.

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