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Worksheet: Binary addition
Use the rules a – e of binary addition below as a guide to work out the answers to the
questions
a. 0 + 0 = 0
b. 0 + 1 = 1
c. 1 + 0 = 1
d. 1 + 1 = 0 carry 1 = 10
e. 1 + 1 + 1 = 1 carry 1 = 11
1. Start with this simple sum. (You can use rules (a) and (b) to help you if necessary.)
Calculate the decimal equivalent and check that it is correct.
8
4
2
1
Decimal
0
0
1
1
=
3
+
1
0
0
0
=
+
=
=
=
2. Use the same techniques as you did in the last question to find the binary result.
1
0
0
1
+
0
1
0
0
=
3, Use the carry row at the top for the carried 1.
1
0
1
1
+
0
0
1
0
=
4. Now use rule (d) to help with this problem. Remember that like in decimal addition, the
last carry just makes the number bigger and is added on to the left of the number.
1
0
1
1
+
1
0
1
0
=
