Adding Binary Numbers

Our topic is all about adding and subtracting binary numbers.

These are the steps in ADDING Binary Numbers:

• Align the binary numbers you wish to add.
• Add the binary numbers in each alignment.
• Apply the rules in adding binary numbers (ex. 0+0=0, 0+1=1, 1+1=0). With 1+1=0 there is a carry 1 then add it to the next column to the left.
• Repeat the steps for other columns. 

Examples of Adding Binary Numbers:

• 10001 + 11101 = 101110:

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

• 101101 + 11001 = 1000110:

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

• 1011001 + 111010 = 10010011:

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

• 1110 + 1111 = 11101:

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

• 10111 + 110101 = 1001100:

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

• 11011 + 1001010 = 1100101:

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