Hexadecimal String Problems

The video tutorial explains the decimal and hexadecimal number systems, focusing on how to calculate the number of two-digit and three-digit hexadecimal strings using both additive and multiplicative methods. It covers specific cases where strings start with certain digits and end with others, using principles of counting and set theory to solve complex problems.

What is the base of the decimal number system?

• Base 10

• Base 16

• Base 8

• Base 2

In the hexadecimal system, which of the following is a valid digit?

• A

• H

• I

• G

How many two-digit hexadecimal strings start with the letter 'D'?

• 64

• 8

• 16

• 32

Using the multiplicative method, how many choices are there for the first digit of a two-digit hexadecimal string starting with C through F?

• 5

• 4

• 3

• 2

How many three-digit hexadecimal strings start with C through F and end with 2 through 6?

• 400

• 240

• 320

• 160

What is the total number of choices for the middle digit in a three-digit hexadecimal string?

• 8

• 16

• 4

• 12

How many choices are there for the ending digit in a three-digit hexadecimal string that ends with 2 through 6?

• 6

• 3

• 4

• 5

What is the first step in solving the problem of three-digit hexadecimal strings that start with C through F or end with 2 through 6?

• Add all possible strings

• Subtract overlapping strings

• Calculate strings ending with 2 through 6

• Calculate strings starting with C through F

What is the result of 4 times 16 times 16 in the context of hexadecimal strings?

• 2048

• 1024

• 512

• 4096

What is the final count of three-digit hexadecimal strings that start with C through F or end with 2 through 6?

• 1600

• 1280

• 2560

• 1984