
Concept explainers
(a)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Concept used:
For conversion binary number into hexadecimal number, split the number into nibble (4 digits at a time) and add zeroes to fill out the groups.
Assign each group the corresponding hexadecimal number from the table given below:
Decimal | Binary | Hexadecimal |
0 | 0000 | 0 |
1 | 0001 | 1 |
2 | 0010 | 2 |
3 | 0011 | 3 |
4 | 0100 | 4 |
5 | 0101 | 5 |
6 | 0110 | 6 |
7 | 0111 | 7 |
8 | 1000 | 8 |
9 | 1001 | 9 |
10 | 1010 | A |
11 | 1011 | B |
12 | 1100 | C |
13 | 1101 | D |
14 | 1110 | E |
15 | 1111 | F |
Table 1
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
(b)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
(c)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
(d)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
(e)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
(f)
The binary number

Answer to Problem 8AR
The conversion of binary number
Explanation of Solution
Given:
The binary number is
Calculation:
The binary number is converted as follows:
Thus, the conversion of binary number
Conclusion:
The conversion of binary number
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Chapter 85 Solutions
Mathematics for Machine Technology
- 1. Evaluate the following improper integrals: (a) fe-rt dt; (b) fert dt; (c) fi da dxarrow_forward8. Given the rate of net investment I(t) = 9t¹/2, find the level of capital formation in (i) 16 years and (ii) between the 4th and the 8th years.arrow_forward9. If the marginal revenue function of a firm in the production of output is MR = 40 - 10q² where q is the level of output, and total revenue is 120 at 3 units of output, find the total revenue function. [Hints: TR = √ MRdq]arrow_forward
- 6. Solve the following first-order linear differential equations; if an initial condition is given, definitize the arbitrary constant: (a) 2 + 12y + 2et = 0, y(0) = /; (b) dy+y=tarrow_forward4. Let A = {a, b, c, d, e, f}, B = {e, f, g, h} and C = {a, e, h,i}. Let U = {a, b, c, d, e, f, g, h, i, j, k}. • Draw a Venn Diagram to describe the relationships between these sets Find (AB) NC • Find (AC) UB Find AUBUC • Find (BC) N (A - C)arrow_forward7. A consumer lives on an island where she produces two goods x and y according to the production possibility frontier x² + y² < 200 and she consumes all the goods. Her utility function is U(x, y) = x y³. She faces an environmental constraint on her total output of both goods. The environmental constraint is given by x + y ≤20. • (a) Write down the consumer's optimization problem. (b) Write out the Kuhn-Tucker first order conditions. (c) Find the consumer's optimal consumption bundle (x*, y*).arrow_forward
- 3. Answer the following questions: (a) Given the marginal propensity to import M'(Y) = 0.1 and the information that M = 20 when Y = 0, find the import function M(Y). (b) Given a continuous income stream at the constant rate of $1,000 per year, what will be the present value II if the income stream terminates after exactly 3 years and the discount rate is 0.04? (c) What is the present value of a perpetual cash flow of $2,460 per year, discounted at r = 8%?arrow_forward5. Let A and B be arbitrary sets. Prove AnB = AUB.arrow_forward2. Answer the following questions: (a) Given the marginal-revenue function R'(Q) = 28Q - €0.3Q, find the total-revenue function R(Q). What initial condition can you introduce to definitize the constant of integration? = (b) Given the marginal propensity to consume C'(Y) 0.80.1Y-1/2 and the information that C = Y when Y = 100, find the consumption function C(Y).arrow_forward
- 7. Let X, A, and B be arbitrary sets such that ACX and BC X. Prove AUB CX.arrow_forward1. Write out the following sets as a list of elements. If necessary you may use ... in your description. {x EZ: |x|< 10 A x < 0} {x ЄN: x ≤ 20 A x = 2y for some y = N} {n EN: 3 | n^ 1 < n < 20} {y Є Z: y² <0}arrow_forward3. For each statement below, write an equivalent statement using the justification given. = y Є A or yЄ B by the definition of union = y Є A or y Є B by the definition of set complement = x = C and x & D by DeMorgan's Law =Vx (x EnFxЄEUF) by definition of subset. = (X CYUZ)A (YUZ CX) by definition of set equalityarrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
