We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10...

We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 diﬀerent “digits” {0,1,...,9}. Sometimes though it is useful to write numbers in hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,...,9,A,B,C,D,E,F}. So for example, a 3 digit hexadecimal number might be 3B8. (a) How many 2-digit hexadecimals are there in which the ﬁrst digit is E or F? Explain your answer in terms of the additive principle (using either events or sets). (b) Explain why your answer to the previous part is correct in terms of the multiplicative principle (using either events or sets). Why do both the additive and multiplicative principles give you the same answer? (c) How many 3-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)? Explain. ( d) How many 3-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)? Explain.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Write a Java program named BinaryConversion that will convert base 2 numbers to base 10 numbers....

Write a Java program named BinaryConversion that will convert base 2 numbers to base 10 numbers. The data for this program will be entered from the keyboard using JOptionPane one 16-bit binary number at a time. Note that each base 2 number is actually read in as a String. The program should continue until a 16-bit base 2 number consisting of all 0’s is entered. Once the 16-bit number has been entered your program should make sure that the input...

Write a user-defined MATLAB function that converts real numbers in decimal form to binary form. Name...

Write a user-defined MATLAB function that converts real numbers in decimal form to binary form. Name the function b = deciTObina (d), where the input argument d is the number to be converted and the output argument b is a 30-element-long vector with 1s and 0s that represents the number in binary form. The first 15 elements of b store the digits to the left of the decimal point, and the last 15 elements of b store the digits to...

When we work with probabilities, we always use the decimal form. What's the decimal version of...

When we work with probabilities, we always use the decimal form. What's the decimal version of 15%? (Put a zero before the decimal point.) What about the decimal version of 0.3%? (Put a zero before the decimal point.) Suppose you roll a six-sided die and flip two coins. What is the chance that the die will come up as a 5 or a 6 and you'll get two tails? Express your answer as a value between 0 and 1, rounded...

1. Write the following complex numbers in polar form. a. 6 + ?2 b. 10 +...

1. Write the following complex numbers in polar form. a. 6 + ?2 b. 10 + ?0 c. -1/j d. 1/6 (18 + ?24) e. sqrt(-j)

Write a procedure to calculate Average of numbers(integers) using Arrays. Send base address of array in...

Write a procedure to calculate Average of numbers(integers) using Arrays. Send base address of array in register $a1 and Array length in register $a2 to the procedure and return Average in register $v0 to main program.

Write a c++ program to convert any decimal number to either binary base or Hex base...

Write a c++ program to convert any decimal number to either binary base or Hex base number system. Test your program with the followings: Convert 15 from decimal to binary. Convert 255 from decimal to binary. Convert BAC4 from hexadecimal to binary Convert DEED from hexadecimal to binary. Convert 311 from decimal to hexadecimal. Convert your age to hexadecimal.

Write the correct answer using a decimal form. 1.A T-bill with 41 days to maturity has...

Write the correct answer using a decimal form. 1.A T-bill with 41 days to maturity has a $10,000 par value, a bid price of $9,995 and an asked price of $9,997. What is the asked yield? 2. A T-bill has 247 days to maturity. The T-bill par value is $1,000 and has an asked of 1.785%. What is the T-bill asked price in dollars?

Question