Generate a matrix that contains binary representations of five random numbers between 0 and 15. Convert the binary numbers to decimal integers.

b = randi([0 1],5,4);
d = bi2de(b)

d = 5×1

     1
     5
    14
    11
    15

This example shows how to convert binary numbers to decimal integers. It highlights the difference between right- and left- most significant digit positioning.

b1 = [0 1 0 1 1];
b2 = [1 1 1 0];

Convert the two binary arrays to decimal by using the bi2de function. Assign the most significant digit is the leftmost element. The output of converting b1 corresponds to $0(2^4)+1(2^3)+0(2^2)+1(2^1)+1(2^0)=11$, and b2 corresponds to $1(2^3)+1(2^2)+1(2^1)+0(2^0)=14$.

d1 = bi2de(b1,'left-msb')

d1 = 11

d2 = bi2de(b2,'left-msb')

d2 = 14

Assign the most significant digit is the rightmost element. The output of converting b1 corresponds to $0(2^0)+1(2^1)+0(2^2)+1(2^3)+1(2^4)=26$, and b2 corresponds to $1(2^0)+1(2^1)+1(2^2)+0(2^3)=7$.

d1 = bi2de(b1,'right-msb')

d1 = 26

d2 = bi2de(b2,'right-msb')

d2 = 7

Convert an octal (base-8) number to its decimal equivalent.

Assign the most significant digit to the leftmost position. The output corresponds to $$4(8^3)+2(8^2)+7(8^1)+1(8^0)=2233$$.

d = bi2de([4 2 7 1],8,'left-msb')

d = 2233

Assign the most significant digit to the rightmost position. The output corresponds to $$4(8^0)+2(8^1)+7(8^2)+1(8^3)=980$$.

d = bi2de([4 2 7 1],8,'right-msb')

d = 980