Mathematics High School

convert 374F in base 16 to octal​

Answers

Answer 1
Answer:

33517

Step-by-step explanation:

Method 1

Given:

374F in base 16

To convert to octal;

(i) convert each digit in the number to binary

3 = 0011

7 = 0111

4 = 0100

F = 1111

(ii) join the bits together starting from the first i.e

374F = 0011 0111 0100 1111

(iii) starting from the right to left, group the bits together, each group having 3 bits

374F = 0 011 011 101 001 111

(iv) the group with number of bits less than 3 should be padded with zero.

374F = 000 011 011 101 001 111

(v) convert each of the groups in (iv) above to decimal as follows:

000 = 0

011 = 3

011 = 3

101 = 5

001 = 1

111 = 7

(vi) combine the result above to get;

033517

The first zero can be removed

33517

Therefore, the number in octal is 33517₈

Method 2

Given:

374F in base 16

To convert to octal;

i) convert the number to decimal as follows;

a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.

=> 3 is at position 4, so we have

3 x 16⁴ ⁻ ¹ = 3 x 16³

=> 7 is at position 3, so we have

7 x 16³ ⁻ ¹ = 7 x 16²

=> 4 is at position 2, so we have

4 x 16² ⁻ ¹ = 4 x 16¹

=> F is at position 1, so we have

F x 16¹ ⁻ ¹ = F x 16⁰

b. Add each of the terms found in (a) together.

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)

c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)

d. Solve the result in (c)

(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)

12288 + 1792 +64 + 15

14159

Therefore,

374F in decimal is 14159

(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.

8 | 14159

8 | 1769 r 7

8 | 221 r 1

8 | 27 r 5

8 | 3 r 3

  | 0 r 3

Taking the remainders from bottom up gives

33517₈

Therefore, the number in octal is 33517₈

Related Questions

Which equation represents the line that passes through the points (-1, 3) and (4, -2) ?

Answers

Answer:

y=-1/3x+3/8

Step-by-step explanation:

PLEASE HELP ME !ASAP!!
Q1)What is the sum of the finite arithmetic series −10, −8, −6, −4, ...24?
show work !!
Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work

Answers

Solution :

First term, a₀ = -10 .

Common difference of A.P. , d = -8 - (-10) = 2 .

Last term, aₙ = 24 .

We know, last term is given by :

aₙ = a₀ + (n-1)d

24 = -10 + (n-1)×2

2n - 2 = 34

n = 18

Now, sum of series is given by :

[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]

Hence, this is the required solution.

A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Answer:

0.003750 inches

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

Answer:

If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500

Thickness of each paper = thickness of total paper / 500

1.875 / 500 = 0.003750 inches

Step-by-step explanation:

What is the simplest form of b/bc ??

Answers

b/bc =b/b =0 left c
Ans c

Help fast, thanks. Will mark brainliest. No links!!
Write the quadratic equation in standard form:
2x^2 - x - 17 = -5​

Answers

Answer:

In Standard form...

2x² - x -17 +5 = 0

2x² - x - 12 = 0.

Have a great day bro!

I will give you BRAINLIEST AND 1 MILLION DOLLARS IS YOU ANSWER THIS

Part A: Factor 3x2a2 − 5xa2 − 2a2. Show your work. (4 points)

Part B: Factor x2 − 10x + 25. Show your work. (3 points)

Part C: Factor x2 − 81. Show your work. (3 points)

Answers

Answer:

Answer is in bold.

Step-by-step explanation:

Factor 3x2a2 − 5xa2 − 2a2.

3x2a2 − 5xa2 − 2a2=  

a2(3x2 − 5x − 2)=

a2((x-2)*(x+(1/3)))

Part B: Factor x2 − 10x + 25.

x2 − 10x + 25.= (x-5)*(x-5)

Part C: Factor x2 − 81.

x2 − 81=(x-9)*(x+9)

[tex]x^{2}[/tex]-81

[tex]x^{2}[/tex]+9x-9x

On Sunday Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg of plant food on his strawberry plants and used 1/4 kg of plant food on his tomato plants.

Answers

Answer:

27/12 KG

Step-by-step explanation:

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plants. How many kilograms of plant food did Sheldon have left?

41/2 - (12/3 + 1/4)

[tex]1\frac{2}{3} + \frac{1}{4}[/tex]

[tex]1\frac{8 + 3}{12}[/tex] = 1 11/12

[tex]4\frac{1}{2} - 1\frac{11}{12}[/tex]

[tex]3\frac{6-11}{12}[/tex] = 2 7/12

Find tanθ + sinθ for the angle below.


Answers

tan( tehta ) = 2/3

Sin( tetha ) = 2/√13

tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13

= 2√13 + 6 / 3√13

please show your work

Answers

Answer:

a) - 10

Step-by-step explanation:

The two angles are vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines.

Therefore, set your formula up as following

x+5=2x-5

x + 5 - 2x = -5

-x + 5 = -5

-x = -10

the area of hanks farm is n acres. the area of hank's farm is 8 times as large as the area of stans farm
a. if s represents the area of Stan's farm express s in terms of n
b. state the independent and dependent variables in the equation

+ 50 points and brainlist

Answers

Step-by-step explanation:

a. s = n/8

b. the independent variable is s

the dependent variable is n

Can someone help me with this question ?

Answers

Tan52° = x/29

The angle of elevation is 52°, so that must be inside the tan function.

Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.

What is the equation of the line that passes through (5,-2) and (-3,4)

Answers

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-2) / -3 - 5

6 / -8

= -3/4

y = -3/4x + b

4 = -3/4(-3) + b

4 = 9/4 + b

7/4

There are 2.54 Centimeters in 1 inch . THere are 100 Centimeters in 1 meter

To the nearest Meter, how many meters are in 360 inches

Answers

Answer:

9.144meters

Step-by-step explanation:

Given data

We are expected to perform unit conversion in this problem

2.54cm is equivalent to 1 inch

100cm equal to 1 meters

360 inches to cm  will be

=360*2.54

= 914.4cm

914.4cm to meters will be

=914.4/100

=9.144meters

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

What similarity statement can you write relating the three triangles in the diagram.

Answers

Answer:

c. triangle JMK....triangle LMK.....triangle JLM

I need help like big time! PLEASE I NEED THIS ANSWERED!!

Answers

Answer:

x = 94

Step-by-step explanation:

[tex]x + (\frac{1}{2}x + 39) = 180[/tex]

1.5x + 39 = 180

Subtract 39 from each side.

1.5x + 39 - 39 = 180 - 39

Simplify.

1.5x = 141

Divide each side by 1.5.

1.5x ÷ 1.5 = 141 ÷ 1.5

x = 94

Which values are equivalent to the fraction below? Check all that apply

4 5/4 7

Answers

Answer:

the answer is the 4/-2

Step-by-step explanation:

you can understand from the answer

What is the slope of the line passing through the points
(-7, -6) and (5, -9)?
A -4
B-1/4
C 0
D undefined

Answers

I can’t answer u I need to see the graph
it’s (-1,4)
y2-y1
———
x2-x1

Find the area of the composite figure

Answers

Answer:

the answer is 360

Step-by-step explanation:

multiply the numbers to get the answer

Find the value of x for the given triangle.
12
19°
Х

Answers

Answer:

180

Step-by-step explanation:

It is one. A strait line so it is 180

What is the value of x?
76+71=124


Answers

Answer:

48

Step-by-step explanation:

x=48

Answer:

Step-by-step explanation:

124

this is the answer i think

(b) factorise
(3m-1)(6-a)-(m+3)(6-a)​

Answers

Answer:

Step-by-step explanation:

(3m-1)(6-a)-(m+3)(6-a)

=3m(6-a)-1(6-a)-m(6-a)+3(6-a)

=18m-3ma-6+a-6m+ma+18-3a

=12m-2ma+12-2a

=2(6m-ma+6-a)

what is the value of x in the equation 5x-7=28

Answers

5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

Can anyone please help me thank you

Answers

Answer:

[2, 4]

Step-by-step explanation:

[2, 4]

Allison had 18 postage stamps she gave 2/9 of the stamps to her mother and used 1/2 of the remaining stamps to send letters to her friends in Canada how many stamps are left

Answers

Answer is 7

step-by-step explanation:

you would do 2/9 times 18 which is 4 you would subtract 18 - 4 which is 14 then you would do 14 / 2 and your answer will be seven

The function f(x) is graphed below. what is f(2)-f(-1)?

Answers

photmath,  alcaicion par aresolvr perbolmeas mtemataicso ,ect a

please help with this question or I might fail.

Answers

3 days a week or Monday Tuesday Wednesday Thursday Friday

Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D

Answers

D. Is the correct answer
D is the correct answer.

Add 4.25 and 12.835 explain how u got it answer​

Answers

Answer:

17.085

Step-by-step explanation:

  +1

12.835

+  4.25

  17.085

Answer:

Refer to the attachment given for explanation.

✐ The answer will be 17.085.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

what is 60 written as a product of a factor greater than 1?

Answers

Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

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