2's Complement Arithmetic Concepts

The video tutorial explains 2's complement arithmetic, focusing on addition and subtraction of signed binary numbers. It covers how to handle overflow conditions and provides examples of adding positive, negative, and mixed sign numbers. The tutorial also demonstrates subtraction using 2's complement and highlights the importance of understanding the range of representable numbers. Future topics include 1's complement arithmetic.

What is the primary similarity between 2's complement addition and unsigned binary addition?

• Both require checking for overflow.

• Both involve column by column addition.

• Both require converting numbers to decimal first.

• Both need a separate subtraction step.

In 2's complement arithmetic, what should you do with a carry that results from the addition?

• Add it to the next column.

• Ignore it.

• Convert it to a decimal.

• Subtract it from the result.

What is the range of numbers that can be represented using 5-bit 2's complement?

• -32 to +31

• -64 to +63

• -16 to +15

• -8 to +7

What indicates an overflow condition in 2's complement addition?

• The result is negative when adding two positive numbers.

• The result is positive when adding two negative numbers.

• The result exceeds the representable range.

• The carry is not zero.

When adding a positive and a negative number in 2's complement, what determines the sign of the result?

• The sum of the numbers.

• The larger number's sign.

• The smaller number's sign.

• The carry bit.

How do you find the 2's complement of a number?

• Add 1 to the number.

• Flip all bits and add 1.

• Subtract 1 and flip all bits.

• Convert to decimal and back.

What happens when the result of adding two negative numbers exceeds the 2's complement range?

• The result is invalid.

• The result is negative.

• The result is zero.

• The result is positive.

In 2's complement subtraction, what is the equivalent operation?

• Ignoring the carry bit.

• Adding the negative of the number.

• Subtracting the positive of the number.

• Flipping all bits of the number.

What is the result of subtracting a negative number from a positive number in 2's complement?

• The result is always negative.

• The result is always positive.

• The result is zero.

• The result is the same as adding two positive numbers.

How can you handle invalid results in 2's complement arithmetic?

• By flipping all bits.

• By converting to decimal.

• By ignoring the carry bit.

• By using a larger bit size.