Binary Code Basics

Binary Code Basics

Read each question carefully and provide your answers in the space provided. Show all your work where applicable.

1. Convert the following binary numbers to their decimal equivalents:

a) 10110₂

b) 110011₂

c) 1000001₂

2. Convert the following decimal numbers to their binary equivalents:

a) 27₁₀

b) 92₁₀

c) 150₁₀

3. In the binary number 10110₂, what is the place value of the leftmost '1'?

4. Fill in the blanks with the correct terms:

a) A single binary digit is called a  .

b) A group of eight bits is known as a  .

c) The decimal number system uses base  , while binary uses base  .

5. Determine if the following statements are true or false:

a) The binary number 111₂ is equivalent to the decimal number 7₁₀.

b) In binary addition, 1 + 1 = 10.

6. Perform the following binary additions:

a) 101₂ + 011₂

b) 1101₂ + 1010₂