Computer Science
Convert the following hexadecimal numbers to decimal:
(a) A6
(b) A13B
(c) 3A5
Number System
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Answer
(a) A6
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 6 | 160 | 1 | 6x1=6 |
| A (10) | 161 | 16 | 10x16=160 |
Equivalent decimal number = 6 + 160 = 166
Therefore, (A6)16 = (166)10
(b) A13B
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| B (11) | 160 | 1 | 11x1=11 |
| 3 | 161 | 16 | 3x16=48 |
| 1 | 162 | 256 | 1x256=256 |
| A (10) | 163 | 4096 | 10x4096=40960 |
Equivalent decimal number = 11 + 48 + 256 + 40960 = 41275
Therefore, (A13B)16 = (41275)10
(c) 3A5
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 5 | 160 | 1 | 5x1=5 |
| A (10) | 161 | 16 | 10x16=160 |
| 3 | 162 | 256 | 3x256=768 |
Equivalent decimal number = 5 + 160 + 768 = 933
Therefore, (3A5)16 = (933)10
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