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 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 2B8. Assume that digits and letter can be repeated. a. How many 4-digit hexadecimals are there in which the first digit is E or F? b. How many 5-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)?
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 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 2B8. Assume that digits and letter can be repeated. a. How many 4-digit hexadecimals are there in which the first digit is E or F? b. How many 5-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![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 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 2B8. Assume that digits and letter can be repeated.
a. How many 4-digit hexadecimals are there in which the first digit is E or F?
b. How many 5-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0224e9f6-e43a-4905-8a41-49911277ba3c%2F6ec5ecc3-89cc-42c2-9d31-803e9c86db16%2Fyxkokuu_processed.png&w=3840&q=75)
Transcribed Image Text: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 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 2B8. Assume that digits and letter can be repeated.
a. How many 4-digit hexadecimals are there in which the first digit is E or F?
b. How many 5-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)?
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