Computer Science
Convert the following hexadecimal numbers to decimal:
(a) E9
(b) 7CA3
Number System
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Answer
(a) E9
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 9 | 160 | 1 | 9x1=9 |
| E (14) | 161 | 16 | 14x16=224 |
Equivalent decimal number = 9 + 224 = 233
Therefore, (E9)16 = (233)10
(b) 7CA3
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 3 (11) | 160 | 1 | 3x1=3 |
| A (10) | 161 | 16 | 10x16=160 |
| C (12) | 162 | 256 | 12x256=3072 |
| 7 | 163 | 4096 | 7x4096=28672 |
Equivalent decimal number = 3 + 160 + 3072 + 28672 = 31907
Therefore, (7CA3)16 = (31907)10
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