Binary Addition Edexcel

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Exam code:1CP2

Binary Addition

What is binary addition?

Binary addition is the process of adding together two binary integers (up to and including 8 bits)
To be successful there are 5 golden rules to apply:

Binary Addition

Binary Answer

Working

0 + 0 =

1s
0	= 0

0 + 1 =

1s
1	= 1

1 + 0 =

1s
1	= 1

1 + 1 =

2s	1s
1	0	= 2

1 + 1 + 1 =

2s	1s
1	1	= 3

Like denary addition, start from the rightmost digit and move left
Carrying over occurs when the sum of a column is greater than 1, passing the excess to the next left column

Example 1

Add together the binary values 1001 and 0100

8	4	2	1	+
1	0	0	1
0	1	0	0
				C

Starting from right to left, add the two binary values together applying the 5 golden rules
If your answer has 2 digits, place the rightmost digit in the column and carry the remaining digit to the next column on the left
In this example, start with 1+0, 1+0 = 1, so place a 1 in the column

8	4	2	1	+
1	0	0	1
0	1	0	0
				C
			1

Repeat until all columns have a value

8	4	2	1	+
1	0	0	1
0	1	0	0
				C
1	1	0	1

The sum of adding together binary 1001 (9) and 0100 (4) is 1101 (13)

Examiner Tips and Tricks

Make sure any carried digits are clearly visible in your answer, there are marks available for working. Carries can be put above or below in the addition

Example 2

Add together the binary values 00011001 and 10000100

128	64	32	16	8	4	2	1	+
0	0	0	1	1	0	0	1
1	0	0	0	1	0	0	1
								C

Starting from right to left, add the two binary values together applying the 5 golden rules
If your answer has 2

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