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A Binary Number is made up of only  0 s and  1 s. 110100 Example of a Binary Number There is no 2, 3, 4, 5, 6, 7, 8 or 9 in Binary! A " bit " is a single  b inary dig it . The number above has 6 bits. Binary numbers have many uses in mathematics and beyond. In fact the digital world uses  binary digits . How do we Count using Binary? Binary     0   We start at 0 1   Then 1 ???   But then there is no symbol for 2 ... what do we do? Well how do we count in Decimal?   0   Start at 0   ...   Count 1,2,3,4,5,6,7,8, and then...   9   This is the  last digit  in Decimal   1 0   So we start back at 0 again, but add  1  on the left The same thing is done in binary ...   Binary       0   Start at 0 • 1   Then 1 •• 1 0   Now start back at 0 again, but  add  1  on the left ••• 11   1 more •••• ???   But NOW what ... ? What happens in Decimal?   99   When we run out of digits, we ...   100   ... start back at 0 again, but add  1 on the

Matrix (mathematics) In   mathematics , a   matrix   (plural:   matrices ) is a   rectangular   array [1]   of   numbers ,   symbols , or   expressions , arranged in   rows   and   columns . [2] [3]   For example, the dimensions of the matrix below are 2 × 3 (read "two by three"), because there are two rows and three columns: {\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.} Provided that they have the same size (each matrix has the same number of rows and the same number of columns as the other), two matrices can be  added  or subtracted element by element (see  Conformable matrix ). The rule for  matrix multiplication , however, is that  two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second  (i.e., the inner dimensions are the same,  n  for an ( m × n )-matrix times an ( n × p )-matrix, resulting in an ( m × p )-matrix. There is no product the other way round, a first