Seminar 1

What is the fundamental principle of representing data in computers, using only 0 and 1?

• ASCII Encoding

• Binary Representation

• Decimal System

• Hexadecimal Notation

How is the range of values represented by an 8-bit binary number (1 byte) calculated?

• [0, 127]

• [1, 256]

• [0, 255]

• [1, 255]

In binary representation, what does the left-most bit (most significant bit) indicate for signed numbers?

• The magnitude of the number

• The sign of the number

• The decimal point

• The parity of the number

What is the binary representation of the decimal number 13?

• 1101

• 0011

• 1110

• 1111

What is the hexadecimal representation of the binary number 1010?

• A

• B

• C

• D

Which of the following is a valid 1 byte binary number?

• 10000

• 1

• 11110000

• 111111111

What is the method to calculate the 2's complement if X is negative?

• Subtract 1 from the original binary number.

• Reverse the bits and add 1.

• Convert the absolute value to base 2, add leading zeros, negate all bits, and add 1.

• Convert the absolute value to base 2, add leading zeros, negate all bits, and subtract one.

How is overflow detected in binary arithmetic in case of 2's complement?

• Overflow occurs when two numbers of equal sign are added, and the result has the same sign.

• Overflow occurs when two numbers of opposite sign are added, and the result has a carry.

• Overflow occurs when two numbers of the same sign are added, and the result has the opposite sign.

• Overflow occurs if two numbers of opposite sign are added, and the result has the same sign.

What is the significance of the carry in the addition of unsigned numbers?

• If a carry occurs in the addition of unsigned numbers, it indicates the correct result.

• We just always ignore the carry for unsigned numbers.

• If a carry occurs in the addition of unsigned numbers, it indicates the incorrect result.

• The sum of 2 natural numbers of n bits can have more than n bits, and a carry is expected for correct results.

What is the role of the carry in the addition of signed numbers using 2's complement?

• If carry occurs in the final result of the sum, it means overflow has occurred.

• If carry occurs in the final result of the sum, it is eliminated. It does not mean overflow.

• Carry defines the sign of the result.

•