Binary

 BINARY

Do you know how powers of ten work?

10^0=1

10^1=10

10^2=100

10^3=1000

10^4=10000

10^5=100000

10^6=1000000

10^7=10000000

For every power of ten, the exponent (if it is a natural number) is the number of zeros you'll have after the one. If you have 10^2, you will have 2 zeros which are 100.

The powers of two are different(it's called binary). Binary is using the act of doubling.

2^0=1

2^1=2

2^2=4

2^3=8

2^4=16

2^5=32

2^6=64

2^7=128

Each exponent tells you how many times you continuously repeat doubling, starting from one. 2^5 means that you did the following:

1+1=2

2+2=4

4+4=8

8+8=16

16+16=32

2^5 is 32. This is binary!

Binary actually uses ones and zeros. To find the binary value of a number, look at your hands. Each finger represents a number. Your first finger is 1, your second finger is 2, then it goes to 4, 8, 16, 32, 64, 128, and so on. Find the closest number below any number on your finger. If your number is 33, find 32. Subtract and assign 32 as a 1. 33 in binary is 10001. The zeros represent what was not part of the remainder.

Binary:

0=0

1=1

2=10

3=11

4=100

5=101

6=110

7=111

Get the pattern? Comment down below if you have questions.