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4. Our usual number system is base 10, because it strings together the digits 0-9 to form any whole number (there is a l's place, a 10's place, a 10-squared's place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0-9 and the letters A - F to form any whole number (there is a l's place, a 16's place, a 16-squared's place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexadecimal numbers, like our normal base 10 numbers, cannot start with a 0).

4. Our usual number system is base 10, because it strings together the digits 0-9 to form any whole number (there is a l's place, a 10's place, a 10-squared's place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0-9 and the letters A - F to form any whole number (there is a l's place, a 16's place, a 16-squared's place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexadecimal numbers, like our normal base 10 numbers, cannot start with a 0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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These are counting problems. You cannot simply write down the final answer. You must be sure to give sufficient explanation for your counting method. As always - clarity, legibility, and composition count towards your grade. | 4. Our usual number system is base 10, because it strings together the digits 0 - 9 to form any whole number (there is a 1's place, a 10's place, a 10-squared's place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0 - 9 and the letters A - F to form any whole number (there is a 1's place, a 16's place, a 16-squared's place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexad cimal numbers, like our normal base 10 numbers, cannot start with a 0).
Transcribed Image Text:These are counting problems. You cannot simply write down the final answer. You must be sure to give sufficient explanation for your counting method. As always - clarity, legibility, and composition count towards your grade. | 4. Our usual number system is base 10, because it strings together the digits 0 - 9 to form any whole number (there is a 1's place, a 10's place, a 10-squared's place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0 - 9 and the letters A - F to form any whole number (there is a 1's place, a 16's place, a 16-squared's place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexad cimal numbers, like our normal base 10 numbers, cannot start with a 0).
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