Binary Numbers (Binary to Dec / Hex)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Jon Casteel
Used 11+ times
FREE Resource
42 Slides • 20 Questions
1
Binary Numbers
2
?
= 1 or a 0
= Bit
3
?
= 1 or a 0
= Bit
?
= 1 position can have
how many possibilities?
4
?
= 1 or a 0
= Bit
?
= 1 position can have 2 possibilities
5
?
= 1 or a 0
= Bit
?
= 1 position can have 2 possibilities
= 1 or a 0
?
6
?
= 1 position can have 2 possibilities
= 1 or a 0
?
?
= 2 positions = 4 possibilities
0 0 or 0 1 or 1 0 or 1 1
?
7
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
?
?
?
?
= 3 positions = ? possibilities
8
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
000 or 001 or 010 or 011
?
?
?
?
= 3 positions = ? possibilities
100 or 101 or 110 or 111
9
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
000 or 001 or 010 or 011
?
?
?
?
= 3 positions = 8 possibilities
100 or 101 or 110 or 111
10
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
?
?
?
?
= 3 positions = 8 possibilities
?
?
?
?
= 4 positions = ? possibilities
11
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
?
?
?
?
= 3 positions = 8 possibilities
?
?
?
?
= 4 positions = ? possibilities
0000 ... 0001 ... 0010 ... 0011 ... 0100 ... 0101 ... 0110 ... 0111
1000 ... 1001 ... 1010 ... 1011 ... 1100 ... 1101 ... 1110 ... 1111
12
?
= 1 position can have 2 possibilities
?
= 2 positions = 4 possibilities
?
?
?
?
= 3 positions = 8 possibilities
?
?
?
?
= 4 positions = 16 possibilities
0000 ... 0001 ... 0010 ... 0011 ... 0100 ... 0101 ... 0110 ... 0111
1000 ... 1001 ... 1010 ... 1011 ... 1100 ... 1101 ... 1110 ... 1111
13
Power of 2 Chart
14
2 ^ 0 = 1
2 ^ 1 = 2
2 ^ 2 = 4
2 ^ 3 = 8
2 ^ 4 = 16
2 ^ 5 = 32
2 ^ 6 = 64
2 ^ 7 = 128
Power of 2 Chart
15
= byte
Binary to Decimal Conversions
16
= ?
128...64....32.....16.....8......4......2.......1
Binary to Decimal Conversions
17
= ?
Binary to Decimal Conversions
1........0......0......1.......1.......0......1.......0
128...64....32.....16.....8......4......2.......1
18
?
Binary to Decimal Conversions
=
128...64....32.....16.....8......4......2.......1
1........0......0......1.......1.......0......1.......0
19
?
Binary to Decimal Conversions
=
128 + 16 + 8 + 2 =
128...64....32.....16.....8......4......2.......1
1........0......0......1.......1.......0......1.......0
20
154
Binary to Decimal Conversions
=
128 + 16 + 8 + 2 = 154
128...64....32.....16.....8......4......2.......1
1........0......0......1.......1.......0......1.......0
21
= ?
Binary to Decimal Conversions
0.......1......1......0.......0.......1......0.......1
128...64....32.....16.....8......4......2.......1
22
= ?
Binary to Decimal Conversions
0.......1......1......0.......0.......1......0.......1
128...64....32.....16.....8......4......2.......1
23
= ?
Binary to Decimal Conversions
0.......1......1......0.......0.......1......0.......1
128...64....32.....16.....8......4......2.......1
64 + 32 + 4 + 1 = ???
24
= 101
Binary to Decimal Conversions
0.......1......1......0.......0.......1......0.......1
128...64....32.....16.....8......4......2.......1
64 + 32 + 4 + 1 = 101
25
= ?
Binary to Decimal Conversions
128...64....32.....16.....8......4......2.......1
1.... ...1... ...1... ...1.......1.......1.... ..1.......1
26
= ?
Binary to Decimal Conversions
128...64....32.....16.....8......4......2.......1
1.... ...1... ...1... ...1.......1.......1.... ..1.......1
27
255
Binary to Decimal Conversions
128...64....32.....16.....8......4......2.......1
1.... ...1... ...1... ...1.......1.......1.... ..1.......1
=
28
Fill in the Blanks
29
Fill in the Blanks
30
Fill in the Blanks
31
Fill in the Blanks
32
Fill in the Blanks
33
Fill in the Blanks
34
Fill in the Blanks
35
Fill in the Blanks
36
Fill in the Blanks
37
Fill in the Blanks
38
= ?
Binary to Decimal Conversions
= ??
Binary to HExaDecimal Conversions
..8......4......2.......1......8......4......2.......1
128...64....32.....16.....8......4......2.......1
1.......0......0... ...1.......1.......0......1.......0
1.......0......0... ...1.......1.......0......1.......0
39
= ?
Binary to Decimal Conversions
= ??
Binary to HExaDecimal Conversions
..8......4......2.......1.......8......4......2.......1
128...64....32.....16.....8......4......2.......1
1.......0......0... ...1.......1.......0......1.......0
.1.......0......0... ...1.......1......0......1.......0
40
=154
Binary to Decimal Conversions
= ??
Binary to HExaDecimal Conversions
..8......4......2.......1.......8......4......2.......1
128...64....32.....16.....8......4......2.......1
1.......0......0... ...1.......1.......0......1.......0
.1.......0......0... ...1.......1......0......1.......0
41
=154
Binary to Decimal Conversions
= 9A
Binary to HExaDecimal Conversions
..8......4......2.......1.......8......4......2.......1
128...64....32.....16.....8......4......2.......1
1.......0......0... ...1.......1.......0......1.......0
.1.......0......0... ...1.......1......0......1.......0
42
9A
Binary to HExaDecimal Conversions
=
Hex is a Base16 system
..8......4......2.......1......8......4......2.......1
1......0......0... ...1.......1.......0......1.......0
43
9A
Binary to HExaDecimal Conversions
=
0 - 9 A - F
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
..8......4......2.......1......8......4......2.......1
.1......0......0... ...1.......1......0......1.......0
44
??
Binary to HExaDecimal Conversions
=
..8......4......2.......1......8......4......2.......1
.1......0......0... ...1.......1.......0......1.......0
45
9A
Binary to HExaDecimal Conversions
=
..8......4......2.......1.......8......4......2.......1
..1......0......0... ...1.......1.......0......1......0
46
??
Binary to HExaDecimal Conversions
=
..8......4......2.......1......8......4......2.......1
0......1......0... ...1.......0......0......1.......0
47
52
Binary to HExaDecimal Conversions
=
..8......4......2.......1......8......4......2.......1
0......1......0... ...1.......0......0......1.......0
48
??
Binary to HExaDecimal Conversions
=
..8......4......2.......1......8......4......2.......1
..1......1......0... ...1.......1.......0......1.......0
49
DC
Binary to HExaDecimal Conversions
=
..8......4......2.......1......8......4......2.......1
. 1......1......0... ...1.......1.......0......1.......0
50
??
Binary to HExaDecimal Conversions
=
..8......4......2.......1.......8......4......2.......1
..0......1.......1... ..0.......1.......0......1.......0
51
6A
Binary to HExaDecimal Conversions
=
..8......4......2.......1.......8......4......2.......1
..0......1.......1... ..0.......1.......0......1.......0
52
Fill in the Blanks
53
Fill in the Blanks
54
Fill in the Blanks
55
Fill in the Blanks
56
Fill in the Blanks
57
Fill in the Blanks
58
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62
Binary Numbers
Binary Numbers
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