Arithmetic Binary Shifts

Arithmetic Binary Shifts

Multiply and divide binary numbers through bitwise arithmetic shifts

Multiple Select

In this lesson you are going to learn how to ....

• apply arithmetic bitwise shifts to signed binary numbers

• describe difference between an arithmetic right shift and a logical right shift

• apply logical shifts to binary numbers

• describe difference between a logical left shift and right shift

Multiple Select

Choose two statements that are True about an arithmetic LEFT shift operation ...

• The MSB is shifted left and out

• A 0 is shifted in to become the LSB

• The MSB is shifted right and out

• A 0 is shifted in to become the MSB

Fill in the Blanks

An arithmetic left shift operation of 1 position is equivalent to multiplying by

?

Fill in the Blanks

Multiplying a binary integer by 8 can be achieved by an arithmetic left shift operation of

positions

Multiple Choice

True or False:

Left arithmetic shifting is the same as left logical shifting

• True

• False

Fill in the Blanks

Multiply this signed binary integer by 4 by performing an arithmetic left shift operation ...

0 0 1 1 0 1 0 1

Multiple Select

Choose two statements that are True about an arithmetic RIGHT shift operation ...

• The MSB is always retained

• The LSB is always lost

• The MSB is shifted right

• The LSB is always retained

Fill in the Blanks

An arithmetic right shift operation of 2 positions is equivalent to dividing by

?

Fill in the Blanks

Dividing an unsigned binary integer by 16 can be achieved by an arithmetic right shift operation of

positions

Fill in the Blanks

Divide this unsigned binary integer by 4 by performing an arithmetic right shift operation and maintaining 8 bits ...

0 0 1 1 0 1 0 0

Multiple Choice

True or False:

Right arithmetic shifting is the same as right logical shifting

• True

• False

Multiple Choice

What is one possible side-effect of an arithmetic left shift operation on a signed integer?

• arithmetic overflow

• arithmetic underflow

• division by zero

• logical error

Fill in the Blanks

Multiply this byte by 4 using an arithmetic left shift operation and retain 8 bits only

0 1 0 0 0 0 1 0

Multiple Choice

What is one possible side-effect of an arithmetic right shift operation on an unsigned integer?

• loss of precision

• arithmetic underflow

• division by zero

• arithmetic overflow

Fill in the Blanks

Divide this signed binary integer by 2 using an arithmetic right shift operation and retain 8 bits only

1 1 1 1 1 1 1 1

Multiple Choice

True or False:

Arithmetic right shifting works on both signed and unsigned binary integers.

• True

• False

Open Ended

Connect It

How does today’s lesson link to another topic we have studied this year?

Poll

How much of this lesson have you understood?

• None of it

• Some of it

• Most of it

• All of it