Binary

Lesson: Introduction to Binary Numbers

Objective: By the end of this lesson, you will be able to understand what binary numbers are, convert binary numbers to decimal (base-10) numbers, and vice versa.
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Cette leçon contient 27 diapositives, avec quiz interactifs et diapositives de texte.

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Lesson: Introduction to Binary Numbers

Objective: By the end of this lesson, you will be able to understand what binary numbers are, convert binary numbers to decimal (base-10) numbers, and vice versa.

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What are Binary Numbers?
Binary numbers are a base-2 numbering system. Unlike our everyday decimal (base-10) system, which uses ten digits (0-9), binary only uses two digits: 0 and 1. This system is fundamental in computer science and digital electronics, as computers use binary digits (bits) to represent data and perform calculations.

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Converting Decimal to Binary:



To convert a decimal number to binary, you repeatedly divide the decimal number by 2, keeping track of the remainders. The remainders, read from bottom to top, give the binary representation

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Convert the binary number 11001 to decimal.
A
17
B
18
C
25
D
27

Slide 6 - Quiz

Convert the binary number 1011 to decimal.
A
5
B
7
C
10
D
13

Slide 7 - Quiz

Convert the binary number 1001 to decimal.
A
6
B
8
C
9
D
10

Slide 8 - Quiz

Convert the binary number 11100 to decimal.
A
12
B
28
C
16
D
20

Slide 9 - Quiz

Convert the decimal number 29 to binary.
A
11111
B
11110
C
11101
D
11100

Slide 10 - Quiz

Convert the decimal number 51 to binary.
A
110011
B
110100
C
110101
D
110110

Slide 11 - Quiz

Convert the binary number 101010 to decimal.
A
42
B
32
C
48
D
40

Slide 12 - Quiz

Convert the decimal number 12 to binary.
A
1010
B
1100
C
1110
D
1111

Slide 13 - Quiz

Convert the decimal number 15 to binary.
A
1000
B
1100
C
1110
D
1111

Slide 14 - Quiz

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Example 1: Convert 13 to Binary:
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Reading remainders from bottom to top: 1101

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Example 2: Convert 28 to Binary:
28 ÷ 2 = 14 remainder 0
14 ÷ 2 = 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Reading remainders from bottom to top: 11100

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