1.
Find the remainder when 67^{99 }is divided by 7
Correct Answer
C. 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.
2.
Find the remainder when 2 is divided by 17
Correct Answer
A. 1
Explanation
When 2 is divided by 17, the remainder is 1.
3.
Maximum number in decimal that can me represented by 2 digit is
Correct Answer
B. 3
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.
4.
Base 8 number system known as
Correct Answer
A. Octal number system
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.
5.
Numbering system which uses numbers and letters as symbols as
Correct Answer
D. Hexadecimal
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".
6.
1's complement of 1011101 is....................
Correct Answer
C. 0100010
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.
7.
2's complement of 11001011 is .................
Correct Answer
C. 00110101
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.
8.
On addition of 28 and 18 using 2's complement we get................
Correct Answer
B. 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.
Is [The addition 1 + 1 give 0 as a result] true or false?
Correct Answer
A. True
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.
10.
What do you call the intermediate term in binary multiplication
Correct Answer
C. Partial product
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.