Binary Addition Example

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Binary Addition Example ( Enter your problem )

( Enter your problem )

Other related methods

Addition, Subtraction, Multiplication, Division of two Decimal numbers
Addition, Subtraction, Multiplication, Division of two Binary numbers
Addition, Subtraction, Multiplication, Division of two Octal numbers
Addition, Subtraction, Multiplication, Division of two Hexadecimal numbers
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

1	1		1
	1	1	0	1	1
+	0	1	0	1	0

1	0	0	1	0	1

Step by step solution :

Step by step solution :


	1	1	0	1	1
+	0	1	0	1	0

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


	1	1	0	1	1
+	0	1	0	1	0

					1

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

			1
	1	1	0	1	1
+	0	1	0	1	0

				0	1

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

			1
	1	1	0	1	1
+	0	1	0	1	0

			1	0	1

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

	1		1
	1	1	0	1	1
+	0	1	0	1	0

		0	1	0	1

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

1	1		1
	1	1	0	1	1
+	0	1	0	1	0

	0	0	1	0	1

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

Solution:

Solution is

1	1			1
	1	1	0	0	1
+	0	1	0	0	1

1	0	0	0	1	0

Step by step solution :

Step by step solution :


	1	1	0	0	1
+	0	1	0	0	1

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

				1
	1	1	0	0	1
+	0	1	0	0	1

					0

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

				1
	1	1	0	0	1
+	0	1	0	0	1

				1	0

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

				1
	1	1	0	0	1
+	0	1	0	0	1

			0	1	0

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

	1			1
	1	1	0	0	1
+	0	1	0	0	1

		0	0	1	0

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

1	1			1
	1	1	0	0	1
+	0	1	0	0	1

	0	0	0	1	0

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

Solution:

Solution is

1	1	1
	1	1	1	1	0
+	0	1	1	0	1

1	0	1	0	1	1

Step by step solution :

Step by step solution :


	1	1	1	1	0
+	0	1	1	0	1

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


	1	1	1	1	0
+	0	1	1	0	1

					1

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


	1	1	1	1	0
+	0	1	1	0	1

				1	1

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

		1
	1	1	1	1	0
+	0	1	1	0	1

			0	1	1

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

	1	1
	1	1	1	1	0
+	0	1	1	0	1

		1	0	1	1

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

1	1	1
	1	1	1	1	0
+	0	1	1	0	1

	0	1	0	1	1

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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