Computer Science
Write binary representation of the following hexadecimal numbers:
(a) 4026
(b) BCA1
(c) 98E
(d) 132.45
Number System
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Answer
(a) 4026
Hexadecimal Number | Binary Equivalent |
---|---|
6 | 0110 |
2 | 0010 |
0 | 0000 |
4 | 0100 |
Therefore, (4026)16 = (0100000000100110)2.
(b) BCA1
Hexadecimal Number | Binary Equivalent |
---|---|
1 | 0001 |
A (10) | 1010 |
C (12) | 1100 |
B (11) | 1011 |
B → 1011
C → 1100
A → 1010
1 → 0001
Therefore, (BCA1)16 = (1011110010100001)2.
(c) 98E
Hexadecimal Number | Binary Equivalent |
---|---|
E | 1110 |
8 | 1000 |
9 | 1001 |
Therefore, (98E)16 = (100110001110)2.
(d) 132.45
Hexadecimal Number | Binary Equivalent |
---|---|
5 | 0101 |
4 | 0100 |
2 | 0010 |
3 | 0011 |
1 | 0001 |
Therefore, (132.45)16 = (000100110010.01000101)2.
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