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Working with Numbers: Binary and Hexadecimal 815

A

1 × 11

1 × 22

1 × 44

0 × 80

1 × 16 16

0 × 32 0

1 × 64 64

1 × 128 128

1 × 256 256

0 × 512 0

0 × 1024 0

0 × 2048 0

1 × 4096 4,096

1 × 8192 8,192

0 × 16384 0

1 × 32768 32,768

Total 45,527

Converting this to hexadecimal requires a chart with the hexadecimal values.

Column 5 4321

Power 164 163 162 161 160

Value 65536 4096 256 16 1

The number is less than 65,536, so you can start with the fourth column. There are

eleven 4096s (45,056), with a remainder of 471. There is one 256 in 471 with a remain-

der of 215. There are thirteen 16s (208) in 215 with a remainder of 7. Thus, the hexadec-

imal number is B1D7.

Checking the math:

B (11) * 4096 = 45,056

1 * 256 = 256

D (13) * 16 = 208

7 * 1 = 7

Total 45,527

29 0672327112_app_a.qxd 11/19/04 12:30 PM Page 815