Binary number operations

Addition
Subtraction
Multiplication
Negative Binary numbers
Credits

Addition

 10 + 0 → 0
 20 + 1 → 1
 31 + 0 → 1
 41 + 1 → 0, carry 1
 5
 6 For e.g
 7
 8    1 1 1 1 1    (carried digits)
 9      0 1 1 0 1
10+     1 0 1 1 1
11    -------------
12=   1 0 0 1 0 0 = 36

Subtraction

 1
 20 − 0 → 0
 30 − 1 → 1, borrow 1
 41 − 0 → 1
 51 − 1 → 0
 6
 7Subtracting 1 digit from 0 digit produces the digit "1", while
 81 will have to be subtracted from the next column. This is known as
 9borrowing.
10
11      *   * * *   (starred columns are borrowed from)
12      1 1 0 1 1 1 0
13−         1 0 1 1 1
14    ----------------
15=     1 0 1 0 1 1 1

Multiplication

 1
 2        1 0 1 1   (A)
 3      × 1 0 1 0   (B)
 4       ---------
 5        0 0 0 0   ← Corresponds to the rightmost 'zero' in B
 6+     1 0 1 1     ← Corresponds to the next 'one' in B
 7+   0 0 0 0
 8+ 1 0 1 1
 9  ---------------
10= 1 1 0 1 1 1 0
11
12Binary Multiplication for binary point
13                1 0 1 . 1 0 1       A (5.625 in decimal)
14                × 1 1 0 . 0 1       B (6.25  in decimal)
15           -------------------
16                  1 0 1 1 0 1    ← Corresponds to a 'one' in B
17    +           0 0 0 0 0 0      ← Corresponds to a 'zero' in B
18    +         0 0 0 0 0 0
19    +       1 0 1 1 0 1
20    +     1 0 1 1 0 1
21    ---------------------------
22    = 1 0 0 0 1 1 . 0 0 1 0 1  (35.15625 in decimal)