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nature of mathematics

Questions and Answers of Nature Of Mathematics

Change the numbers in Problems 17–30 to base ten.431five
Change the numbers in Problems 17–30 to base ten.65eight
Change the numbers in Problems 17–30 to base ten.1011.101two
Change the numbers in Problems 17–30 to base ten.11101000110two
Change the numbers in Problems 17–30 to base ten.573twelve
Change the numbers in Problems 17–30 to base ten.4312eight
Change the numbers in Problems 17–30 to base ten.2110three
Change the numbers in Problems 17–30 to base ten.4312five
Change the numbers in Problems 17–30 to base ten.537.1eight
Change the numbers in Problems 17–30 to base ten.3721eight
a. Change 724 to base five.b. Change 628 to base four.
a. Change 256 to base two.b. Change 427 to base twelve.
a. Change 412 to base five.b. Change 615 to base eight.
a. Change 512 to base two.b. Change 795 to base three.
a. Change 52 to base three.b. Change 4,731 to base twelve.
a. Change 602 to base eight.b. Change 76 to base four.
Use number bases to answer the questions in Problems 37–50.Change 158 hours to days and hours.
Use number bases to answer the questions in Problems 37–50.Change 52 days to weeks and days.
Use number bases to answer the questions in Problems 37–50.Change 39 ounces to pounds and ounces.
Use number bases to answer the questions in Problems 37–50.Change 55 inches to feet and inches.
Use number bases to answer the questions in Problems 37–50.Change $4.59 to quarters, nickels, and pennies.
Use number bases to answer the questions in Problems 37–50.Change 500 to gross, dozens, and units.
Use number bases to answer the questions in Problems 37–50.Using only quarters, nickels and pennies, what is the minimum number of coins needed to make $0.84?
Use number bases to answer the questions in Problems 37–50.Change $8.34 to the smallest number of coins consisting of quarters, nickels, and pennies.
Use number bases to answer the questions in Problems 37–50.Suppose you have two quarters, four nickels, and two pennies. Use base five to write a numeral to indicate your financial status.
Use number bases to answer the questions in Problems 37–50.A bookstore ordered 9 gross, 5 dozen, and 4 pencils. Write this number in base twelve and in base ten.
Use number bases to answer the questions in Problems 37–50.Change 54 months to years and months.
Use number bases to answer the questions in Problems 37–50.Change 44 days to weeks and days.
Use number bases to answer the questions in Problems 37–50.Change 49 hours to days and hours.
Use number bases to answer the questions in Problems 37–50.Change 29 hours to days and hours.
Add 5 years, 7 months to 6 years, 8 months.
Add 3 years, 10 months to 2 years, 5 months.
Add 10 ft, 7 in. to 7 ft, 10 in.
Add 6 ft, 8 in. to 9 ft, 5 in.
Add 2 gross, 3 dozen, 4 units to 5 gross, 9 dozen, 10 units.
Add 1 gross, 9 dozen, 7 units to 2 gross, 8 dozen, 8 units.
If you keep one investment for 1 year, 7 months, 11 days, and then roll it over into another investment for 1 year, 6 months, 26 days, how long was the total investment (if you assume that all months
If you keep one investment for 3 years, 4 months, 21 days, and then roll it over into another investment for 1 year, 6 months, 15 days, how long was the total investment (if you assume that all
Notice the following pattern for multiplication by 11: 14 X 11 =1_4 51 X 11 = 5_1 First, copy the first and last digits of the number to be multiplied by 11. Leave a space between these digits. Then,
The duodecimal numeration system refers to the base twelve system, which uses the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, T, E.Historically, a numeration system based on 12 is not new.There were 12
What does 1110two mean? Change it to base 10.
Change 47 to a binary numeral.
Carry out the following operations: a. 11wo+ 101 two b. 11two X 101 two
Write using decimal numerals. UU 66 78 8 9 nn |||||
Write 4,571 as a Babylonian numeral.
Change each Babylonian numeral to decimal form.a.b.c.
Write each of the Babylonian numerals in decimal form.a.b.c.
Write each decimal numeral as a Roman numeral.a. 49b. 379c. 345,123d. 2,003
Write each Roman numeral as a decimal numeral.a. CCLXIIIb. MXXIVc. MCMXCIXd. C̅D̅CLIX
Use Egyptian arithmetic to finda. 245 + 457 b. 142 - 67
Do some research to explain the differences between the words necessary and sufficient.
Suppose that the Senate committee of Problem 59 has five members. Design a circuit that will output the result of the majority of the committee’s vote.Data from problem 59Alfie, Bogie, and Clyde
Alfie, Bogie, and Clyde are the members of a Senate committee. Design a circuit that will output yea or nay depending on the way the majority of the committee members voted.
Use truth tables to find the following.a. b. p ∨ qc. What do you notice about the final column of each of these truth tables?d. Draw a simpler circuit that will output the same values as those in
a. Suppose an engineer designs the following circuit:b. If each gate costs 2¢ and a company is going to manufacture one million items using this circuit, how much will the circuits cost? ~{~[(pVg)
∼q → ∼pDesign circuits for the conditional statements given in Problems 54–56.
p → ∼qDesign circuits for the conditional statements given in Problems 54–56.
∼p → qDesign circuits for the conditional statements given in Problems 54–56.
The cost of the circuit is often a factor in work with switching circuits. The circuit you constructed in Problem 52, by using the definition of the conditional, required three gates. Construct a
The conditional p → q was defined to be equivalent to∼(p∧ ∼q) . Use gates to represent this conditional.
Draw a circuit diagram representing the thermostat described in Problem 49.Data from Problem 49Suppose you wish to design a thermostat that will heat a room. The system will activate the furnace
Write a truth table for the thermostat described in Problem 49.Data from Problem 49Suppose you wish to design a thermostat that will heat a room. The system will activate the furnace under either of
Suppose you wish to design a thermostat that will heat a room. The system will activate the furnace under either of two conditions:I. The system is set on automatic mode and all the doors are
Suppose you wish to design a security system that requires that three people in different locations turn the keys simultaneously.a. Write a compound logic statement that represents the condition for
Suppose you wish to design a notification system for three airplane rest rooms. A light should go on at the attendant’s post when at least one of the rooms is in use.a. Write a compound logic
Suppose you wish to design a machine that dispenses 10¢ gum balls. The machine will not give change, but will accept only nickels and dimes.a. Write a compound logical statement that represents the
p ∧ (q ∧ r)First, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
p ∨ (q ∨ r)First, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
(p ∧ q) ∨ rFirst, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
p ∧ (q ∨ r)First, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
p ∨ (q ∨ r)First, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
(p ∨ q) ∧ rFirst, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
(p ∨ q) ∨ rFirst, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
(p ∧ q) ∧ rFirst, build a truth table and then design a circuit using switches that would find the truth values for the statements in Problems 38–45 (answers are not unique).
(∼p ∧ q) ∨ (p ∨ ∼q)Using AND-gates, OR-gates, and NOT-gates, design circuits that would find the truth values for the statements in Problems 32–37.
∼[(p ∧ q) ∨ r ]Using AND-gates, OR-gates, and NOT-gates, design circuits that would find the truth values for the statements in Problems 32–37.
∼(∼p ∨ q)Using AND-gates, OR-gates, and NOT-gates, design circuits that would find the truth values for the statements in Problems 32–37.
p ∧ ∼qUsing AND-gates, OR-gates, and NOT-gates, design circuits that would find the truth values for the statements in Problems 32–37.
∼(q → p)First, build a truth table and then, using switches, design a circuit that would find the truth values for the statements in Problems 26–31 (answers are not unique).
∼(p → ∼q)First, build a truth table and then, using switches, design a circuit that would find the truth values for the statements in Problems 26–31 (answers are not unique).
p → ∼qFirst, build a truth table and then, using switches, design a circuit that would find the truth values for the statements in Problems 26–31 (answers are not unique).
q →pFirst, build a truth table and then, using switches, design a circuit that would find the truth values for the statements in Problems 26–31 (answers are not unique).
p → qFirst, build a truth table and then, using switches, design a circuit that would find the truth values for the statements in Problems 26–31 (answers are not unique).
Using both switches and simplified gates, design a circuit that would find the truth values for the statements in Problems 20–25 (answers are not unique).∼(p ∨ q)
Using both switches and simplified gates, design a circuit that would find the truth values for the statements in Problems 20–25 (answers are not unique).p ∧ ∼q
Using both switches and simplified gates, design a circuit that would find the truth values for the statements in Problems 20–25 (answers are not unique).∼p ∨ q
p ∨ qUsing both switches and simplified gates, design a circuit that would find the truth values for the statements in Problems 20–25 (answers are not unique).
Build a truth table for each of the gate circuits in Problems 16–19. P 9 DD +
Build a truth table for each of the gate circuits in Problems 16–19. + b
Build a truth table for each of the gate circuits in Problems 16–19. PE 9
Build a truth table for each of the gate circuits in Problems 16–19. -d 9- -D
Write a symbolic statement for each circuit shown in Problems 10–15. P on off 9 on off 010
Write a symbolic statement for each circuit shown in Problems 10–15. on P 9 off on off OD
Write a symbolic statement for each circuit shown in Problems 10–15. P 9 off on on off CAD
Write a symbolic statement for each circuit shown in Problems 10–15. 1 P on off q 820000 on off
Write a symbolic statement for each circuit shown in Problems 10–15. P on off 010
Write a symbolic statement for each circuit shown in Problems 10–15. P on off
What do each of the circuit symbols in Problems 4–9 mean?
What do each of the circuit symbols in Problems 4–9 mean? +
What do each of the circuit symbols in Problems 4–9 mean?

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