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SS1: MATHEMATICS - 1ST TERM

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  1. Number Base System I | Week 1
    6 Topics
    |
    2 Quizzes
  2. Number Base System II | Week 2
    3 Topics
  3. Number Base System III | Week 3
    2 Topics
    |
    1 Quiz
  4. Modular Arithmetic I | Week 4
    2 Topics
  5. Modular Arithmetic II | Week 5
    2 Topics
  6. Modular Arithmetic III | Week 6
    3 Topics
    |
    1 Quiz
  7. Indices I | Week 7
    3 Topics
  8. Indices II | Week 8
    1 Topic
    |
    1 Quiz
  9. Logarithms I | Week 9
    3 Topics
  10. Logarithms II | Week 10
    4 Topics
    |
    1 Quiz



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Lesson 3, Topic 2
In Progress

Conversion from Hexadecimal to Binary – Application to Programming

Lesson Progress
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Hexadecimal
Digit
Equivalent
in Binary
Special
Codes
000000
110001
2100010
3110011
41000100
51010101
61100110
71110111
810001000
910011001
A10101010
B10111011
C11001100
D11011101
E11101110
F11111111

Example 1

Convert 3467 to Binary via Hexadecimal.

Screenshot 2022 08 25 at 11.50.13

Use the table above

i.e. D8B16 = 1101 1000 1011

 ∴  346710 =\( \scriptsize 110110001011_2 \)

Evaluation

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

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