Computer Science
Convert hexadecimal number into decimal number.
(a) A2
(b) 13B
(c) 271
(d) 132
Number System
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Answer
(a) A2
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 2 | 160 | 1 | 2x1=2 |
| A (10) | 161 | 16 | 10x16=160 |
Equivalent decimal number = 2 + 160 = 162
Therefore, (A2)16 = (162)10.
(b) 13B
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| B (11) | 160 | 1 | 11x1=11 |
| 3 | 161 | 16 | 3x16=48 |
| 1 | 162 | 256 | 1x256=256 |
Equivalent decimal number = 11 + 48 + 256 = 315
Therefore, (13B)16 = (315)10.
(c) 271
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 1 | 160 | 1 | 1x1=1 |
| 7 | 161 | 16 | 7x16=112 |
| 2 | 162 | 256 | 2x256=512 |
Equivalent decimal number = 1 + 112 + 512 = 625
Therefore, (271)16 = (625)10.
(d) 132
| Hexadecimal Number | Power | Value | Result |
|---|---|---|---|
| 2 | 160 | 1 | 2x1=2 |
| 3 | 161 | 16 | 3x16=48 |
| 1 | 162 | 256 | 1x256=256 |
Equivalent decimal number = 2 + 48 + 256 = 306
Therefore, (132)16 = (306)10.
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