# Binary number

Binary number is system number who have 2 digit numbers, which is 0 and 1. Binary number base 2 numeral system.

Binary number weights

2

^{0}= 1 → first digit, weights one

2

^{1}= 2 → second digit, weights two

2

^{2}= 4 → third digit, weights four

2

^{3}= 8 → fourth digit, weights eight

2

^{4}= 16 → fifth digit, weights sixteen

etc.

Example 1:

Convert binary number 110 to decimal number

Completion:

110

_{(2)}= ?

_{(10)}

0 → 0 × 2

^{0}= 0

1 → 1 × 2

^{1}= 2

1 → 1 × 2

^{2}= 4

110 → 0 + 2 + 4 = 6

110

_{(2)}= 6

_{(10)}

Example 2:

Convert binary number 11010 to decimal number

Completion:

11010

_{(2)}= ?

_{(10)}

0 → 0 × 2

^{0}= 0

1 → 1 × 2

^{1}= 2

0 → 0 × 2

^{2}= 0

1 → 1 × 2

^{3}= 8

1 → 1 × 2

^{4}= 16

11010 → 0 + 2 + 0 + 8 + 16 = 26

11010

_{(2)}= 26

_{(10)}

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