In a computer, numbers are represented by numeric codes.
What are the numbers after 9 in base 10?
10 11 12 ... 19 20 21 22 ... 99 100 101 ...
What are the numbers after F in base 16?
10 11 12... 19 1A 1B ... 1F 20 21 22 ... 99
9A 9B ... 9F A0 A1 ... A9 AA AB ... AF B0 ...
FF 100 101 ...
What are the numbers after 7 in base 8?
10 11 12 ... 17 20 21 22 ... 77 100 101 ...
What are the numbers after 1 in base 2?
10 11 100 101 110 111 1000 1001 1010
1011 1100 1101 1110 1111
In base 10:
16498 = 1*104 + 6*103 + 4*102 +
9*101 + 8*100
In base 16:
16F98 = 1*164 + 6*163 + 15*162 +
9*161 + 8*160
So, 16F9816 = 9410410
In base 8:
16475 = 1*84 + 6*83 + 4*82 +
7*81 + 5*80
So, 164758 = 748510
In base 2:
11010 = 1*24 + 1*23 + 0*22 +
1*21 + 0*20
So, 110102 = 2610
What is the binary representation for 148?
Remember that:
20 = 1
21 = 2
22 = 4
23 = 8
24 = 16
25 = 32
26 = 64
27 = 128
28 = 256
29 = 512
210 = 1024