Signed Magnitude Representation Concepts

This lecture covers binary number representation, focusing on unsigned and signed magnitude methods. It explains how unsigned magnitude can only represent positive numbers, while signed magnitude can represent both positive and negative numbers using a sign bit. The lecture also discusses the range of signed magnitude representation and provides homework problems for practice.

Which of the following methods can represent both positive and negative binary numbers?

• Decimal System

• Signed Magnitude

• Unsigned Magnitude

• Hexadecimal System

What is a limitation of the unsigned magnitude representation?

• It cannot represent any numbers

• It can only represent negative numbers

• It can only represent positive numbers

• It can represent both positive and negative numbers

In signed magnitude representation, what does a sign bit of 0 indicate?

• The number is negative

• The number is positive

• The number is zero

• The number is undefined

How is the number -6 represented in signed magnitude representation?

• 1 1 0 0

• 1 0 1 1

• 0 1 1 0

• 1 1 1 0

In signed magnitude representation, what does a sign bit of 1 indicate?

• The number is zero

• The number is undefined

• The number is negative

• The number is positive

What is the magnitude part of the number +13 in signed magnitude representation?

• 0 1 1 0

• 1 1 0 1

• 0 0 1 1

• 1 0 1 1

What is the range of signed magnitude representation for 4 variables?

• -15 to +15

• -8 to +7

• -7 to +7

• -16 to +15

Which representation method is used in the homework problems?

• Unsigned Magnitude

• Two's Complement

• Signed Magnitude

• One's Complement

What is the representation of +5 in signed magnitude representation?

• 0 1 0 1

• 1 0 1 0

• 1 1 0 0

• 0 0 1 1

What is the representation of -9 in signed magnitude representation?

• 0 1 0 1

• 1 1 0 0

• 0 0 1 1

• 1 0 0 1