Binary Subtraction calculator

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Solution

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Binary Subtraction calculator

1. 1010

+ $+$ 100

2. 11100

+ $+$ 110

3. 1101

- $-$ 100

4. 100

- $-$ 10

5. 1110

× $xx$ 1

6. 10001

× $xx$ 100

7. 10101

÷ $-:$ 1

8. 10101

÷ $-:$ 1

Example

1. Find addition of (11011)2 $(11011)_2$ and (1010)2 $(1010)_2$

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 :

=12+02 $=1_2+0_2$

=110+010 $=1_10+0_10$

=110 $=1_10$

=12 $=1_2$

∴ $:.$ Sum

=1 $=1$


	1	1	0	1	1
+	0	1	0	1	0

					1

Step-2 :

=12+12 $=1_2+1_2$

=110+110 $=1_10+1_10$

=210 $=2_10$

=2×1+0 $=2xx1+0$

=102 $=10_2$

∴ $:.$ Sum

=0 $=0$ and carry

=1 $=1$

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

				0	1

Step-3 :

=1+02+02 $=1+0_2+0_2$

=1+010+010 $=1+0_10+0_10$

=110 $=1_10$

=12 $=1_2$

∴ $:.$ Sum

=1 $=1$

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

			1	0	1

Step-4 :

=12+12 $=1_2+1_2$

=110+110 $=1_10+1_10$

=210 $=2_10$

=2×1+0 $=2xx1+0$

=102 $=10_2$

∴ $:.$ Sum

=0 $=0$ and carry

=1 $=1$

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

		0	1	0	1

Step-5 :

=1+12+02 $=1+1_2+0_2$

=1+110+010 $=1+1_10+0_10$

=210 $=2_10$

=2×1+0 $=2xx1+0$

=102 $=10_2$

∴ $:.$ Sum

=0 $=0$ and carry

=1 $=1$

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

	0	0	1	0	1