02 Binary Arithmetic

Match the following binary addition rules.

• = 0

• 0 + 0

• = 1 Carry 1

• 1 + 1 + 1

• = 0 Carry 1

• 0 + 1 or 1 + 0

• = 1

• 1 + 1

A ​ (a)   has 8 ​ (b)   . ​An (c)   error occurs in a binary addition when you need to ​ (d)   a bit over into the ​ (e)   column.

• overflow
• byte
• bits
• carry
• 9th

Add 11011001 to 00101110. You can use an overflow bit if needed.

Add 10110100 to 01100111. You can use an overflow bit if needed.

Add 11001010 to 00011100. You can use an overflow bit if needed.

Add 10010011 to 11100001. You can use an overflow bit if needed.

Which of the follow statements about binary shifts are true?

• Binary shifts allow you to multiple or divide binary numbers.

• You only add 0s when performing a binary shift.

• A left shift in binary multiplies a number by 2 for each shift.

• A binary shift always gives you an accurate answer.

• Shifting a binary number to the right increases its value.

What is the binary number 10011001 in decimal?

• 153
• 158
• 150
• 155

Can you perform a left shift of two places on the binary number 10011001 without having an underflow or an overflow error?

• Yes

• No, there will be an underflow.

• No, there will be an overflow.

Perform a left shift of two places on the binary number 10011001.

• 001

• 011

• 00