Understanding the Powers of 2
Written on 15:06 by Ahmet Emir
Powers of 2 are important to accept and acquire for use with IP subnetting. To review
powers of 2, bethink that back you see a cardinal with addition cardinal to its high right
(called an exponent), this agency you should accumulate the cardinal by itself as abounding times as
the high cardinal specifies. For example, 2
3
is 2
×
2
×
2, which equals 8. Here’s a account of powers
of 2 that you should accomplish to memory:
2
1
= 2
2
2
= 4
2
3
= 8
2
4
= 16
2
5
= 32
2
6
= 64
2
7
= 128
2
8
= 256
2
9
= 512
2
10
= 1,024
2
11
= 2,048
2
12
= 4,096
2
13
= 8,192
2
14
= 16,384
Before you get fatigued out about alive all these exponents, bethink that it’s helpful
to apperceive them, but it’s not actually necessary. Here’s a little ambush back you’re working
with 2s: Each alternating ability of 2 is bifold the antecedent one.
For example, all you accept to do to bethink the amount of 2
9
is to aboriginal apperceive that 2
8
= 256. Why?
Because back you bifold 2 to the eighth ability (256), you get 2
9
(or 512). To actuate the
value of 2
10
, artlessly alpha at 2
8
= 256, and again bifold it twice.
You can go the added way as well. If you bare to apperceive what 2
6
is, for example, you aloof cut
256 in bisected two times: already to ability 2
7
and again one added time to ability 2
6
.
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