Two's Complement (2)

Two's Complement #2

Representing signed integers in binary

Multiple Choice

Two's complement is used to ...

• represent strings

• represent floating-point numbers

• represent positive and negative integers

• represent numbers in base 2 (binary)

Fill in the Blank

The place-value of the most significant bit (MSB) in an 8-bit two's complement number is ...

Fill in the Blank

What is the bit pattern of the largest value that can be represented in 8 bits using Two's Complement?

Fill in the Blank

What is the bit pattern of the smallest value that can be represented in 8 bits using Two's Complement?

Multiple Choice

What is the value of the most significant bit (msb) in an integer stored in 6 bits?

• -32

• -128

• -64

• +32

Multiple Choice

The msb of an integer stored in two's complement form has the value -512.

How many bits are used to store the integer?

• 8

• 9

• 10

• 7

Fill in the Blank

An integer is stored in two's complement form using 7 bits.

What is the smallest integer that can be stored (in decimal)?

Fill in the Blank

An integer is stored in two's complement form using 2 bytes.

What is the largest integer that can be stored (in decimal)?

Multiple Select

What are the reasons that Sign and Magnitude is not a good way to represent negative numbers? (choose two ...)

• there are two representations for 0

• not all arithmetic calculations work correctly

• they take up too much memory space

• they can represent a smaller range of values than two's complement

Multiple Choice

Which of these binary additions is incorrect?

• 0 + 0 = 0

• 0 + 1 = 1

• 1 + 1 = 10

• 1 + 1 + 1 = 11

• 1 + 1 + 1 + 1 = 111

Multiple Select

What have you learned how to do in this lesson?

• convert between a signed denary number and two's complement binary

• find the range of values that can be represented in two's complement with any number of bits

• convert decimal numbers to binary

• add and subtract binary numbers