182

Step 4.      Because 4 is less than 16, place a 0 in the 16 position and subtract 0 (0 * 16).

Step 5.      Because 4 is less than 8, place a 0 in the 8 position and subtract 0 (0 * 8).

Step 6.      Because 4 is NOT less than 4, place a 1 in the 4 position and subtract 1 (1 * 4).

Step 7.      Because 0 is less than 2, place a 0 in the 2 position and subtract 0 (0 * 2).

Step 8.      Because 0 is less than 1, place a 0 in the 1 position and subtract 0 (0 * 1).

Figure 6-4       Conversion of Decimal 4 to Binary

Step 1		4	0
4	< 128	– 0	128
Step 2		4		0
4	< 64	– 0		64
Step 3		4			0
4	< 32	– 0			32
Step 4		4				0
4	< 16	– 0				16
Step 5		4					0
4	< 8	– 0					8
Step 6		4						1
4 NOT < 4		– 4						4
Step 7		0							0
0	< 2	– 0							2
Step 8		0								0
0	< 1	– 0								1
		0
			0	0	0	0	0	1	0	0

	Answer: 4 = 00000100
	The following describes the steps of converting decimal 20, as shown in Figure 6-5:
	Step 1.	Because 20 is less than 128, place a 0 in the 128 position and subtract 0 (0 * 128).
How To
	Step 2.	Because 20 is less than 64, place a 0 in the 64 position and subtract 0 (0 * 64).
	Step 3.	Because 20 is less than 32, place a 0 in the 32 position and subtract 0 (0 * 32).
	Step 4.	Because 20 is NOT less than 16, place a 1 in the 16 position and subtract 16 (1 * 16).
	Step 5.	Because 4 is less than 8, place a 0 in the 8 position and subtract 0 (0 * 8).
	Step 6.	Because 4 is NOT less than 4, place a 1 in the 4 position and subtract 1 (1 * 4).
	Step 7.	Because 0 is less than 2, place a 0 in the 2 position and subtract 0 (0 * 2).
	Step 8.	Because 0 is less than 1, place a 0 in the 1 position and subtract 0 (0 * 1).