Binary Addition

1. Prof. Neeraj Bhargava
Pooja Dixit
Department of Computer Science, School of
Engineering & System Sciences
MDS University Ajmer, Rajasthan

2.  Binary arithmetic is essential part of all the digital
computers and many other digital system.
 It is a key for binary subtraction, multiplication,
division. There are four rules of binary addition.
 0 + 0 = 0
 1 + 0 = 1
 0 + 1 = 1
 1 + 1 = 10
 1 + 1 + 1 = 11
 In fourth case, a binary addition is creating a sum
of (1 + 1 = 10) i.e. 0 is written in the given column
and a carry of 1 over to the next column.

4.  Subtraction and Borrow, these two words will be used very
frequently for the binary subtraction. There are four rules of binary
subtraction.

 Example − Subtraction

6.  Q1. (15)10 + (20)10
 Q2. (37)10 + (18)10
 Q3. (10)10 + (11)10
 Q4. (9)10 - (5)10 = 0100
 Q5. Subtraction: 710 – 510
 Q6. The binary answers are listed below.
 10112 - 10012 = 00102
 11002 - 01102 = 01102
 10102 - 00112 = 01112
 11012 - 10112 = 00102
 10012 - 01112 = 00102
 11002 - 10012 = 00112
 1011011 − 10010 = 1001001
 1010110 − 101010 = 101100
 1000101 − 101100 = 11001
 100010110 − 1111010 = 10011100
 101101 − 100111 = 110
 1110110 − 1010111 = 11111