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Number Base System I | Week 16 Topics2 Quizzes
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Number Base System II | Week 23 Topics
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Number Base System III | Week 32 Topics1 Quiz
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Modular Arithmetic I | Week 42 Topics
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Modular Arithmetic II | Week 53 Topics
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Modular Arithmetic III | Week 64 Topics1 Quiz
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Indices I | Week 73 Topics1 Quiz
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Indices II | Week 81 Topic1 Quiz
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Logarithms I | Week 93 Topics
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Logarithms II | Week 104 Topics1 Quiz
Conversion from Hexadecimal to Binary – Application to Programming
Topic Content:
- Conversion from Hexadecimal to Binary – Application to Programming
- Evaluation Questions
| Hexadecimal Digit | Equivalent in Binary | Special Codes |
| 0 | 0 | 0000 |
| 1 | 1 | 0001 |
| 2 | 10 | 0010 |
| 3 | 11 | 0011 |
| 4 | 100 | 0100 |
| 5 | 101 | 0101 |
| 6 | 110 | 0110 |
| 7 | 111 | 0111 |
| 8 | 1000 | 1000 |
| 9 | 1001 | 1001 |
| A | 1010 | 1010 |
| B | 1011 | 1011 |
| C | 1100 | 1100 |
| D | 1101 | 1101 |
| E | 1110 | 1110 |
| F | 1111 | 1111 |
Example 3.2.1:
Convert 3467 to Binary via Hexadecimal.
Use the table above
⇒ D8B16 = 1101 1000 1011
∴ 346710 = \( \scriptsize 110110001011_2 \)
Evaluation Questions:
1. Convert 450ten to
(i) Binary
(ii) Octal
(iii) Hexadecimal
(iv) Duodecimal
2. Find the value of the following binary (or bicimals) numbers:
(i) 10011 + 1110
(ii) 110.011 + 10.111 + 1.01
(iii) 111.01 – 11.111
3. Evaluate the following:
(i) 3014 + 2014 + 124
(ii) 11.448 – 3.658 + 2.618
4. A market woman bought 558 eggs at N138 each and 34 eggs at N158 each. How much did she spend altogether?
5. Evaluate
i. 3548 4638
ii 110.112112
6. If q represents a base number in the following equations, what is the value of q?
(i) 100112 – 34q = 0
(ii) 3q + 101q – 24q = 8
7. Determine the number bases a and b in the following simultaneous equations
(i) 31a + 20b = 2310
23a – 11b = 510
(ii) 26a – 34b = 10002
38a – 21b = 1115
8. Convert the following binary numbers to decimal numbers via octal
(i) 11011101
(ii) 11010011.01101
Good work.