Pick a number between 1 and 63 (inclusive) and tell me which box(es) the number appears in and I will tell you what your number is.
10110
What is this number ?
104
103
102
101
100
10000
1000
100
10
1
decimal (base 10)
0
1
1
0
1
1 x 10000 = 10000
0 x 1000 = 0
1 x 100 = 100
1 x 10 = 10
0 x 1 = 0
10110
104
103
102
101
100
10000
1000
100
10
1
decimal (base 10)
2
0
7
9
5
5 x 10000 = 50000
2 x 1000 = 2000
0 x 100 = 0
7 x 10 = 70
9 x 1 = 9
52079
24
23
22
21
20
4
2
1
binary (base 2)
16
8
164
163
162
161
160
65536
4096
256
16
1
hexadecimal (base 16)
28
27
26
25
64
32
256
128
104
103
102
101
100
10000
1000
100
10
1
decimal (base 10)
2
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
0
1
1
0
1
1 x 16 = 16
0 x 8 = 0
1 x 4 = 4
1 x 2 = 2
0 x 1 = 0
22
binary (base 2)
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
1
0
1
0
1
1
0
1
1 x 128 = 128
1 x 32 = 32
1 x 16 = 16
1 x 8 = 8
1 x 2 = 2
186
Which place value must you have for all odd numbers
Which numbers must have the place value
2
Which numbers must have the place value
4
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
2810 = ? 2
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
1
1
0
0
1
0
0
0
0
2810 = 11100 2
28 - 16 = 12
12 - 8 = 4
4 - 4 = 0
2810 = ? 2
GO
If remaining number is greater or equal to place value put a 1 for that place value.
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
23810 = ? 2
24
23
22
21
20
4
2
1
16
8
28
27
26
25
64
32
256
128
23810 = 11101110 2
1
1
1
0
0
1
1
1
0
238 - 128 = 110
110 - 64 = 46
2 - 2 = 0
46 - 32 = 14
14 - 8 = 6
6 - 4 = 2
23810 = ? 2
Perseverance
rover
Mars Landing
Feb 18, 2021
24
23
22
21
20
4
2
1
binary (base 2)
16
8
164
163
162
161
160
65536
4096
256
16
1
hexadecimal (base 16)
28
27
26
25
64
32
256
128
104
103
102
101
100
10000
1000
100
10
1
decimal (base 10)
0 1 2 3 4 5 6 7 8 9
Decimal is base 10 with 10 "symbols"
0 1
Binary is base 2 with 2 "symbols"
0 1 2 3 4 5 6 7 8 9 ? ? ? ? ? ?
Hexadecimal is base 16 with 16 "symbols"
0 1 2 3 4 5 6 7 8 9 A B C D E F
10 11 12 13 14 15
164
163
162
161
160
65536
4096
256
16
1
2
4
A
C
2 x 4096 = 8192
4 x 256 = 1024
10 x 16 = 160
12 x 1 = 12
9388
0
164
163
162
161
160
65536
4096
256
16
1
927910 = ? 16
927910 = 243F16
164
163
162
161
160
65536
4096
256
16
1
2
4
3
F
9279 - 2(4096) = 1087
15 - 15(1) = 0
1087 - 4(256) = 63
63 - 3(16) = 15
927910 = ? 16
0
164
163
162
161
160
65536
4096
256
16
1
63610 = ? 16
63610 = 27C16
164
163
162
161
160
65536
4096
256
16
1
0
2
7
C
12 - 12(1) = 0
636 - 2(256) = 124
124 - 7(16) = 12
63610 = ? 16
0
What is the value of LASA32?
(21 x 323) + (10 x 322) + (28 x 32) + 10 = 699274
Base 32?
binary is the same as base 2
decimal is the same as base 10
hexadecimal is the same as base 16
What's next ...
1st
2nd
3rd
4th
LASACS