Boolean algebra and number systems

The binary number 101, when converted to base-10 is ___

• 2

• 5

• 10

• 11

The binary number 101010, when converted to base-10 is ___

• 28

• 30

• 36

• 42

If a binary number ends with a 1, it must be...

• An odd number
• An even number
• A prime number
• The number 12

Calculate the binary addition:
1111
1011
Use binary addition rules + whiteboards!

• 110101
• 11110
• 11011
• 11010

Given a signed char (8 bit): Decimal 11 is represented by 00001011. What is the representation of -11?

• 10001011

• 11110101

• -00001011

• 11110100

In Boolean Algebra A + A + A + A =?

• A

• 4A

• 2A

• None

In Boolean Algebra A + 1 =?

• 0

• 1

• A

• None

What is the output of an EX-NOR gate?

• (AB' + A'B)'

• (AB + A'B')

• A'B + AB'

• (AB + AB)''

XOR gates can be made from ______________

• All NAND gates

• All NOR gates

• All NOT gates

• AND, OR and NOT gates

What does a multiplexer do?