Assignment/MCQ's No. 1: Number System

1. Base 8 number system known as

Octal number system

Hexadecimal number system

Binary number system

Decimal number system

The correct answer is Octal number system. The base 8 number system is known as the octal number system. In this system, numbers are represented using 8 different digits (0-7). It is commonly used in computer programming and digital systems as it is a convenient way to represent binary numbers. Each digit in an octal number represents a group of three bits in binary.

Explanation

The correct answer is Octal number system. The base 8 number system is known as the octal number system. In this system, numbers are represented using 8 different digits (0-7). It is commonly used in computer programming and digital systems as it is a convenient way to represent binary numbers. Each digit in an octal number represents a group of three bits in binary.

2. 1's complement of 1011101 is....................

0101110

1001101

0100010

1100101

The 1's complement of a binary number is obtained by flipping all the bits of the given number. In this case, the given number is 1011101. Flipping all the bits gives us 0100010, which is the 1's complement of the given number.

Explanation

The 1's complement of a binary number is obtained by flipping all the bits of the given number. In this case, the given number is 1011101. Flipping all the bits gives us 0100010, which is the 1's complement of the given number.

3. 2's complement of 11001011 is .................

01010111

11010100

00110101

11100010

The 2's complement of a binary number is obtained by inverting all the bits and adding 1 to the least significant bit. In this case, the given binary number is 11001011. Inverting all the bits gives 00110100. Adding 1 to the least significant bit gives 00110101, which is the correct answer.

Explanation

The 2's complement of a binary number is obtained by inverting all the bits and adding 1 to the least significant bit. In this case, the given binary number is 11001011. Inverting all the bits gives 00110100. Adding 1 to the least significant bit gives 00110101, which is the correct answer.

4. What do you call the intermediate term in binary multiplication

Multipliers

Mid terms

Partial product

Multiplicands

In binary multiplication, the intermediate term that is obtained by multiplying each digit of one binary number with the entire second binary number is called the partial product. This term represents the product of each digit pair and is added together to obtain the final result of the binary multiplication. The other options mentioned, such as multipliers, mid terms, and multiplicands, do not accurately describe this specific intermediate term in binary multiplication.

Explanation

In binary multiplication, the intermediate term that is obtained by multiplying each digit of one binary number with the entire second binary number is called the partial product. This term represents the product of each digit pair and is added together to obtain the final result of the binary multiplication. The other options mentioned, such as multipliers, mid terms, and multiplicands, do not accurately describe this specific intermediate term in binary multiplication.

5. Find the remainder when 67⁹⁹is divided by 7

4

6

1

2

When a number is divided by 7, the remainder can be found by subtracting multiples of 7 from the number until the result is less than 7. In this case, starting with 6799, we subtract 7 repeatedly until we get a number less than 7. 6799 - 7 = 6792, 6792 - 7 = 6785, and so on. Continuing this process, we eventually reach 1, which is less than 7. Therefore, the remainder when 6799 is divided by 7 is 1.

Explanation

When a number is divided by 7, the remainder can be found by subtracting multiples of 7 from the number until the result is less than 7. In this case, starting with 6799, we subtract 7 repeatedly until we get a number less than 7. 6799 - 7 = 6792, 6792 - 7 = 6785, and so on. Continuing this process, we eventually reach 1, which is less than 7. Therefore, the remainder when 6799 is divided by 7 is 1.

6. Is [The addition 1 + 1 give 0 as a result] true or false?

True

False

The given statement "The addition 1 + 1 give 0 as a result" is false. The addition of 1 + 1 results in 2, not 0. Therefore, the correct answer is False.

Explanation

The given statement "The addition 1 + 1 give 0 as a result" is false. The addition of 1 + 1 results in 2, not 0. Therefore, the correct answer is False.

7. Find the remainder when 2 is divided by 17

1

16

14

None of these

When 2 is divided by 17, the remainder is 1.

Explanation

When 2 is divided by 17, the remainder is 1.

8. On addition of 28 and 18 using 2's complement we get................

00101110

0101110

00101111

1001111

The given answer, 0101110, is the correct result of adding 28 and 18 using 2's complement. In 2's complement, positive numbers are represented as their binary form, while negative numbers are represented by taking the complement of their binary form and adding 1. To add 28 and 18, we first convert them to binary: 28 is 00011100 and 18 is 00010010. Then, we add them together: 00011100 + 00010010 = 00101110. Since the result is positive, it remains the same in 2's complement form, which is 0101110.

Explanation

The given answer, 0101110, is the correct result of adding 28 and 18 using 2's complement. In 2's complement, positive numbers are represented as their binary form, while negative numbers are represented by taking the complement of their binary form and adding 1. To add 28 and 18, we first convert them to binary: 28 is 00011100 and 18 is 00010010. Then, we add them together: 00011100 + 00010010 = 00101110. Since the result is positive, it remains the same in 2's complement form, which is 0101110.

9. Numbering system which uses numbers and letters as symbols as

Decimal

Binary

Octal

Hexadecimal

Hexadecimal is a numbering system that uses numbers 0-9 and letters A-F as symbols. It is commonly used in computer programming and digital systems because it represents large numbers in a compact form. Each digit in a hexadecimal number represents four binary digits, making it easier to convert between binary and hexadecimal. For example, the hexadecimal number "A3" is equivalent to the binary number "10100011".

Explanation

Hexadecimal is a numbering system that uses numbers 0-9 and letters A-F as symbols. It is commonly used in computer programming and digital systems because it represents large numbers in a compact form. Each digit in a hexadecimal number represents four binary digits, making it easier to convert between binary and hexadecimal. For example, the hexadecimal number "A3" is equivalent to the binary number "10100011".

10. Maximum number in decimal that can me represented by 2 digit is

2

3

4

5

The maximum number that can be represented by a two-digit decimal number is 99. However, the given options only include numbers from 2 to 5. Since 3 is the highest number among the given options, it can be considered as the correct answer based on the available choices.

Explanation

The maximum number that can be represented by a two-digit decimal number is 99. However, the given options only include numbers from 2 to 5. Since 3 is the highest number among the given options, it can be considered as the correct answer based on the available choices.