1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valina [46]
3 years ago
8

9.6.2: Converting from decimal to non-decimal bases. info About A number N is given below in decimal format. Compute the represe

ntation of N in the indicated base. (a) N = 217, binary. (b) N = 99, hex. (c) N = 344, hex. (d) N =136, base 7. (e) N = 542, base 5. (f) N = 727, base 8. (g) N = 171, hex. (h) N = 91, base 3. (i) N = 840, base 9.
Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

g

Step-by-step explanation:

a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We we can't divide anymore. So we have:

217/2 = 108 + 1

108/2 = 54 + 0

54/2 = 27 + 0

27/2 = 13 + 1

13/2 = 6 + 1

6/2 = 3 + 0

3/2 = 2 +1

2/2 = 1

The binary equivalent to 217 is 11011001

b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:

99/16 = 6.1875

The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.

c) We follow the same steps as in item b:

344/16 = 21.5

The most significant number is 0.5*16 = 8

21/16 = 1.3125

The next number is 0.3125*16 = 5

Since we can't divide it anymore we have our result wich is 158 in hex.

d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.

136/7 = 19.428571

The most significant number is 0.428571 * 7 = 3

19/7 = 2.71428571

The next number is 0.71428571*7 = 5

Since we can't divide it anymore we have our result wich is 253.

e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.

542/5 = 108.4

The most significant number is 0.4*5 = 2

108/5 = 21.6

The next number is 0.6*5 = 3

21/5 = 4.2

The next number is 0.2*5 = 1

Since we can't divide it anymore we have our result that is 4132.

f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.

727/8 = 90.875

The most significant number is 0.875*8 = 7

90/8 = 11.25

The next number is 0.25*8 = 2

11/8 = 1.375

The next number is 0.375*8 = 3

Since we can't divide anymore we have our result wich is 1327

g) Following the same steps as before:

171/16 = 10.6875

The most significant number is 0.6875*16 = 11

Since we can't divide anymore we have our result wich is 1011

h) Following the same steps as before:

91/3 = 30.333333333

The most significant number is 0.333333*3 = 1

30/3 = 10

The next number is 0

10/3 = 3.3333333333

The next number is 0.333333*3 = 1

3/3 = 1

Since we have the final value remainder as 0 the least significant number is 1

Since we can't divide anymore we have our result that is 10101.

i) Following the same steps as before:

840/9 = 93.333333

The most significant number is 0.33333*9 = 3

93/9 =  10.3333333

The next number is 0.333333*9 = 3

10/9 = 1.11111111

The next number is 0.11111111*9 = 1

Since we cant divide anymore we have our result that is 1133

You might be interested in
What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
antiseptic1488 [7]

Answer: b is the answer

Step-by-step explanation:

4 0
3 years ago
Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?
joja [24]
No Jane is not correct she has 25 cents where john has 30 cents
7 0
3 years ago
Does this table represent a function? Why or why not?
arsen [322]

Answer:

D

Step-by-step explanation:

Because their are more than one ranges

6 0
3 years ago
Read 2 more answers
Find exact length of the third side
KATRIN_1 [288]

Answer: 12

               ^

Answer is |

6 0
3 years ago
Read 2 more answers
Divide line segments
ser-zykov [4K]

tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}

6 0
3 years ago
Other questions:
  • Angle M' is the result of its pre-image, angle
    7·2 answers
  • Nearest whole number to 459.517
    7·2 answers
  • Jack's pancake recipe calls for 2 tsp baking powder and 3 c of flour.
    15·2 answers
  • You are planning to invest $500 at 12% compounded annually. How much money would you have after 10,20 and 30 years?
    15·1 answer
  • 1. Imagine a 10 by 10 square with the outside edge colored red. Without using paper or counting them individually how many red s
    9·1 answer
  • Graph the system below and write its solution.
    9·1 answer
  • Plz Answer This Mathematics Question??? NEED HELP ASAP
    10·2 answers
  • Someone help plz and plz make sure it’s right
    11·1 answer
  • If Q = 1, what is the value of the expression 73 - 20q?
    10·1 answer
  • What is the equation of the parabola ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!