Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10

Step-by-step explanation:

1. 10.01

(a) 1001 base 2 = 9 base 10

(b) 1101 base 2 = 13 base 10

Basically, 9 and 13.

Step-by-step explanation:

Follow the chart of the binary system:

2n...

       2^4            2^3        2^2        2^1     2^0

    sixteens     eights     fours      twos   ones

Put one number onto each place, starting from the right side. Since there are 5 places of 2 to the power of something, and 1001 is only 4 numbers, you'll have an extra 0. So...

2n...   0                1             0            0        1

       2^4            2^3        2^2        2^1     2^0

    sixteens     eights     fours      twos   ones

Now that you've placed the numbers, you now know there's one 2^3 which is 1 multiplied by 2^3 = 8 (it is eight because under 2^3, it says eights) and 1 2^0 which is 1 multiplied by 2^0 which is 1 (because under 2^0 it says ones).

Add 8 and 1. 8 + 1 = 9

9 is the decimal number for 1001.

Do the same from 1101, put the numbers above their places in the chart, see how much 2^? are there, then add its place values to get the answer.

2n...   0                1             1            0        1

       2^4            2^3        2^2        2^1     2^0

    sixteens     eights     fours      twos   ones

1 multiplied by 2^3 = 8, 1 multiplied by 2^2 = 4, 1 multiplied by 2^0 = 1.

8 + 4 + 1 = 13

13 is the decimal number for 1101.

I hope this helps!! I'm about to be a sophomore this year and I had the same question..!

honeycrisps have skyrocketed to about $4.50 per pound

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b