Binary, decimal, hexadecimal convert each other

1. Binary->10 System

For example:

1101 (2) =1*2^0+0*2^1+1*2^2+1*2^3=1+0+4+8=13

Converted to decimal to the right-to-left with the binary of each number is multiplied by 2 of the corresponding sub-party, but the second to start from 0

2. Binary turn 16 binary:

To convert the binary to 16, simply separate the binary digits from the right-to-left four-bit unit, the front 0 of the points, and the four-digit binary number to represent a 16-binary.

Said more verbose, is 2^4=16, every four bit binary is exactly 1 bits 16 binary

Example: 10112->0001 0112->18 (16)

3.10 Binary->2 Binary

With 10 binary number constantly except 2, take the remainder, the residue inverted write.

Example: 302

302/2 = 151 more than 0

151/2 = 75 more than 1

75/2 = 37 more than 1

37/2 = 18 more than 1

18/2 = 9 more than 0

9/2 = 4 more than 1

4/2 = 2 more than 0

2/2 = 1 more than 0

1/2 = 0 + 1 so the binary is

100101110

4.10 binary to 16: the principle and the same as the 2, the constant addition of 16, the remainder is inverted write.

For example:

23785/16=1486 Yu 9,

1486/16=92 Yu 14,

92/16=5 Yu 12,

5/16=0 Yu 5

In hexadecimal, 10 corresponds to a,11 corresponds to b,15 for F, and then the remainder to 5ce9,

Then decimal 23785 = hexadecimal 5ce9

5.16 binary to 10 binary: Same as 2-in-turn 10-in.

For example: Turn the above 5ce9 into 10 binary:

9*16^0+e*16^1+c*16^2+5*16^3 = 23785

6.16 Binary Turn binary:

The binary system to 16 binary upside down can be, 16 binary each bit corresponding to the binary 4 bits.

Example: AB

A->1010 b->1011

ab->10101011

Binary, decimal, hexadecimal convert each other