6 base Addition Example

1. Find addition of (3310)6 $(3310)_6$ and (1525)6 $(1525)_6$

Solution:

Solution is

	1
	3	3	1	0
+	1	5	2	5

	5	2	3	5

Step by step solution :

Step by step solution :


	3	3	1	0
+	1	5	2	5

Step-1 :

=06+56 $=0_6+5_6$

=010+510 $=0_10+5_10$

=510 $=5_10$

=56 $=5_6$

∴ $:.$ Sum

=5 $=5$


	3	3	1	0
+	1	5	2	5

				5

Step-2 :

=16+26 $=1_6+2_6$

=110+210 $=1_10+2_10$

=310 $=3_10$

=36 $=3_6$

∴ $:.$ Sum

=3 $=3$


	3	3	1	0
+	1	5	2	5

			3	5

Step-3 :

=36+56 $=3_6+5_6$

=310+510 $=3_10+5_10$

=810 $=8_10$

=6×1+2 $=6xx1+2$

=126 $=12_6$

∴ $:.$ Sum

=2 $=2$ and carry

=1 $=1$

	1
	3	3	1	0
+	1	5	2	5

		2	3	5

Step-4 :

=1+36+16 $=1+3_6+1_6$

=1+310+110 $=1+3_10+1_10$

=510 $=5_10$

=56 $=5_6$

∴ $:.$ Sum

=5 $=5$

	1
	3	3	1	0
+	1	5	2	5

	5	2	3	5

2. Find addition of (255)6 $(255)_6$ and (33)6 $(33)_6$

Solution:

Solution is

	1	1
	2	5	5
+	0	3	3

	3	3	2

Step by step solution :

Step by step solution :


	2	5	5
+	0	3	3

Step-1 :

=56+36 $=5_6+3_6$

=510+310 $=5_10+3_10$

=810 $=8_10$

=6×1+2 $=6xx1+2$

=126 $=12_6$

∴ $:.$ Sum

=2 $=2$ and carry

=1 $=1$

		1
	2	5	5
+	0	3	3

			2

Step-2 :

=1+56+36 $=1+5_6+3_6$

=1+510+310 $=1+5_10+3_10$

=910 $=9_10$

=6×1+3 $=6xx1+3$

=136 $=13_6$

∴ $:.$ Sum

=3 $=3$ and carry

=1 $=1$

	1	1
	2	5	5
+	0	3	3

		3	2

Step-3 :

=1+26+06 $=1+2_6+0_6$

=1+210+010 $=1+2_10+0_10$

=310 $=3_10$

=36 $=3_6$

∴ $:.$ Sum

=3 $=3$

	1	1
	2	5	5
+	0	3	3

	3	3	2

3. Find addition of (1230)6 $(1230)_6$ and (535)6 $(535)_6$

Solution:

Solution is

	1	1
	1	2	3	0
+	0	5	3	5

	2	2	0	5

Step by step solution :

Step by step solution :


	1	2	3	0
+	0	5	3	5

Step-1 :

=06+56 $=0_6+5_6$

=010+510 $=0_10+5_10$

=510 $=5_10$

=56 $=5_6$

∴ $:.$ Sum

=5 $=5$


	1	2	3	0
+	0	5	3	5

				5

Step-2 :

=36+36 $=3_6+3_6$

=310+310 $=3_10+3_10$

=610 $=6_10$

=6×1+0 $=6xx1+0$

=106 $=10_6$

∴ $:.$ Sum

=0 $=0$ and carry

=1 $=1$

		1
	1	2	3	0
+	0	5	3	5

			0	5

Step-3 :

=1+26+56 $=1+2_6+5_6$

=1+210+510 $=1+2_10+5_10$

=810 $=8_10$

=6×1+2 $=6xx1+2$

=126 $=12_6$

∴ $:.$ Sum

=2 $=2$ and carry

=1 $=1$

	1	1
	1	2	3	0
+	0	5	3	5

		2	0	5

Step-4 :

=1+16+06 $=1+1_6+0_6$

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

=210 $=2_10$

=26 $=2_6$

∴ $:.$ Sum

=2 $=2$

	1	1
	1	2	3	0
+	0	5	3	5

	2	2	0	5

This material is intended as a summary. Use your textbook for detail explanation.
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1. 6 base Addition