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. a. How many 4-digit hexadecimals are there in which the first digit is E or F? 8192

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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.
a. How many 4-digit hexadecimals are there in which the first digit is E or F?
8192
b. How many 3-digit hexadecimals start with a letter (A-F) and end with a numeral
(0-9)?
960
c. How many 5-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9)
(or both)?
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. a. How many 4-digit hexadecimals are there in which the first digit is E or F? 8192 b. How many 3-digit hexadecimals start with a letter (A-F) and end with a numeral (0-9)? 960 c. How many 5-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?
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