Lesson 3, Topic 2
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# Conversion from Hexadecimal to Binary – Application to Programming

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### Example 1

Convert 3467 to Binary via Hexadecimal.

Use the table above

i.e. D8B16 = 1101 1000 1011

∴  346710 =$$\scriptsize 110110001011_2$$

Evaluation

1. Convert 450ten to
(i) Binary
(ii) Octal
(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

#### Responses error: