Subtracting Binary Numbers

These are the steps in SUBTRACTING Binary Numbers:

• Just like in adding, you must first align the binary numbers accordingly.
• Apply the rules of subtracting in each column remember that (0-0=0, 1-0=1, 1-1=0, 0-1=1borrow 1)
• Repeat  the steps for other columns.

Examples of Subtracting Binary Numbers:

• 1011011 − 10010 = 1001001:

	1	0	1	1	0	1	1
−			1	0	0	1	0
	1	0	0	1	0	0	1

• 1010110 − 101010 = 101100:

	0		0
	×1	10	×1	10	1	1	0
−		1	0	1	0	1	0
		1	0	1	1	0	0

• 1000101 − 101100 = 11001:

	0	1	1
	×1	×10	×10	10	1	0	1
−		1	0	1	1	0	0
			1	1	0	0	1

• 100010110 − 1111010 = 10011100:

	0	1	1	1	10
	×1	×10	×10	×10	×1	10	1	1	0
−			1	1	1	1	0	1	0
		1	0	0	1	1	1	0	0

• 101101 − 100111 = 110:

			0	10
	1	0	×1	×1	10	1
−	1	0	0	1	1	1
				1	1	0

• 1110110 − 1010111 = 11111:

		0	10	1	10	10
	1	×1	×1	×10	×1	×1	10
−	1	0	1	0	1	1	1
			1	1	1	1	1