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SECTION I-7: Converting from Hex to Decimal
Converting from Hex to to decimal can also be approached in two ways:
- Convert from Hex to Binary and then to Decimal Example is demonstrated below.
- Convert directly from Hex to Decimal by summing the weight of all digits.
| Convert Hexadecimal number 6B216 to Decimal | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 6B216 = 6 = 0110, B = 1011, 2 = 0010 So 6B216 = 0110 1011 00102 | ||||||||||
| 210 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 |
| 1024 | 512 | 256 | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
| 1024 + 512 + 128 + 32 + 16 + 2 = 171410 | ||||||||||
| Convert Hexadecimal number 9F2D16 to Decimal Base 10 | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 9F2D16 = 1001 1111 0010 11012 | |||||||||||||||
| 9 = 1001, F = 1111, 2 = 0010, D = 1101 | |||||||||||||||
| 1x215 | 0x214 | 0x213 | 1x212 | 1x211 | 1x210 | 1x29 | 1x28 | 0x27 | 0x26 | 1x25 | 0x24 | 1x23 | 1x22 | 0x21 | 1x20 |
| 1x32768 | 0x16384 | 0x8192 | 1x4096 | 1x2048 | 1x1024 | 1x512 | 1x256 | 0x128 | 0x64 | 1x32 | 0x16 | 1x8 | 1x4 | 0x2 | 1x1 |
| 32768 | 0 | 0 | 4096 | 2048 | 1024 | 512 | 245 | 0 | 0 | 32 | 0 | 8 | 4 | 0 | 1 |
| 32768 + 4096 + 2048 + 1024 + 512 + 256 + 32 + 8 + 4 + 1 = 40,74910 | |||||||||||||||