Binary Addition Example ( Enter your problem )
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
Other related methods
  1. Addition, Subtraction, Multiplication, Division of two Decimal numbers
  2. Addition, Subtraction, Multiplication, Division of two Binary numbers
  3. Addition, Subtraction, Multiplication, Division of two Octal numbers
  4. Addition, Subtraction, Multiplication, Division of two Hexadecimal numbers
  5. Addition, Subtraction, Multiplication, Division of two any base numbers

1. Addition, Subtraction, Multiplication, Division of two Decimal numbers
(Previous method)
2. Subtraction
(Next example)

1. Binary Addition





1. Find addition of `(11011)_2` and `(1010)_2`

Solution:

Solution is
111
11011
+01010

100101


Step by step solution :

Step by step solution :
11011
+01010


Step-1 :
`=1_2+0_2`
`=1_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`

11011
+01010

1

Step-2 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

1
11011
+01010

01

Step-3 :
`=1+0_2+0_2`
`=1+0_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`

1
11011
+01010

101

Step-4 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

11
11011
+01010

0101

Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

111
11011
+01010

00101


2. Find addition of `(11001)_2` and `(1001)_2`

Solution:

Solution is
111
11001
+01001

100010


Step by step solution :

Step by step solution :
11001
+01001


Step-1 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

1
11001
+01001

0

Step-2 :
`=1+0_2+0_2`
`=1+0_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`

1
11001
+01001

10

Step-3 :
`=0_2+0_2`
`=0_10+0_10`
`=0_10`
`=0_2`
`:.` Sum`=0`

1
11001
+01001

010

Step-4 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

11
11001
+01001

0010

Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

111
11001
+01001

00010


3. Find addition of `(11110)_2` and `(1101)_2`

Solution:

Solution is
111
11110
+01101

101011


Step by step solution :

Step by step solution :
11110
+01101


Step-1 :
`=0_2+1_2`
`=0_10+1_10`
`=1_10`
`=1_2`
`:.` Sum`=1`

11110
+01101

1

Step-2 :
`=1_2+0_2`
`=1_10+0_10`
`=1_10`
`=1_2`
`:.` Sum`=1`

11110
+01101

11

Step-3 :
`=1_2+1_2`
`=1_10+1_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

1
11110
+01101

011

Step-4 :
`=1+1_2+1_2`
`=1+1_10+1_10`
`=3_10`
`=2xx1+1`
`=11_2`
`:.` Sum`=1` and carry`=1`

11
11110
+01101

1011

Step-5 :
`=1+1_2+0_2`
`=1+1_10+0_10`
`=2_10`
`=2xx1+0`
`=10_2`
`:.` Sum`=0` and carry`=1`

111
11110
+01101

01011



This material is intended as a summary. Use your textbook for detail explanation.
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1. Addition, Subtraction, Multiplication, Division of two Decimal numbers
(Previous method)
2. Subtraction
(Next example)






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