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1) Convert from base 10 to base 2.
255=
1320=
88=
512=
1=
2=
2) Give the first 16 binary numbers staritng at 0
3)How many values can be expressed using 3 binary didget? List them in binary and in base 10.
4) What is the highest value (base 10) that can be expressed in 7 bits? 31 bits?
5) Expand the following and find their base 10 equivalents. Show all work.
2718
10208
108
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
In the questions I have below it says a bowl has eight ping pong balls numbered 1,2,2,3,4,5,5,5. You pick a ball at random.
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Evaluate the integral
Write the converse of this statement. Is the converse true. Explain. Write the contrapositive of this statement. Is the converse true. Explain.
Find the points where the plane z=5x-4y+3 intersects each of the coordinate axes. Find the lengths of the sides and the angles of the triangle formed by these points.
Probability Based on Order and Random Selection, Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely,
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.
Find the derivative using logarithmic differentiation
What is the probability the length of an Atlantic croaker is less than 8 inches? Between 8 and 12 inches?
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
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