Data representation
Ms.Princess
L.O: Add two positive 8-bit binary integers
Binary Addition Worksheet
Binary addition is a fundamental operation in digital systems and computer science. It involves
adding two binary numbers, which are composed of only 0s and 1s. The process is similar to
decimal addition, but with different rules. In binary addition, 0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, and 1
+ 1 = 10 (which means "carry the 1" to the next column). Understanding binary addition is
crucial for working with computer systems and digital logic.
Fill in the Blank: Fill in the blank with the correct words.
1. In binary addition, 1 + 1 equals _____10________, which means we carry the 1 to the
next column.
2. Binary numbers use only two digits: _____zero________, and ______one_______,.
3. The process of binary addition is similar to _____________, addition, but with different
rules.
4. When adding 1 + 0 in binary, the result is ___1__________,.
5. In computer systems, binary addition is a _____fundemental________, operation for
performing calculations.
Word bank: fundamental, decimal, 10, 0, 1, zero, one
Multiple Choice Questions: Choose the correct answer from the choices for each question.
1. What is the result of adding 101 and 011 in binary?
a) 110
b) 1000
c) 111
d) 1001
2. What is the decimal equivalent of the binary number 1010?
a) 8
b) 9
c) 10
d) 11
3. When adding binary numbers, what do you do when the sum of a column is 2?
a) Write 2 in that column
b) Write 0 and carry 1 to the next column
Data representation
Ms.Princess
c) Write 1 and carry 1 to the next column
d) Write 10 in that column
4. How many bits are needed to represent the decimal number 15 in binary?
a) 3
b) 4
c) 5
d) 6
Open Ended Questions: Answer the following questions in complete sentences:
1. Explain the process of adding the binary numbers 1101 and 1011. Show your work and
describe each step.
First, I would line up the numbers like this.
Following the rules 1+1=0 carry one, 0+0= 0, 0+1= 1, 1+1+1 = 1 carry one, I do the equation.
_
2. How is binary addition different from decimal addition? Provide an example to illustrate
your answer.
They have different rules. In binary, there are only 2 numbers, 0 and 1. So they go under rules
like 1+1= 10, 1+0= 1, 0+0=0, 1+1+1= 11. While decimal addition is in denary, meaning they
have an infinite range of numbers, following under normal mathematical principles.