Nine coins are placed in a 3-by-3 matrix with some face up and some face down. You can represent the state of the coins using a 3-by-3 matrix with values 0 (heads) and 1 (tails). Here are some examples: 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 Each state can also be represented using a binary number. For example, the preceding matrices correspond to the numbers 000010000 101001100 110100001 101110100 100111110 There are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2, 3, . . . , and 511 to represent all states of the matrix. Write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding matrix with the characters H and T. Here is a sample run: Enter a number between 0 and 511: 7 ↵Enter H H H H H H T T T The user entered 7, which corresponds to 000000111. Since 0 stands for H and 1 for T, the output is correct.
Nine coins are placed in a 3-by-3 matrix with some
face up and some face down. You can represent the state of the coins using a
3-by-3 matrix with values 0 (heads) and 1 (tails). Here are some examples:
0 0 0 1 0 1 1 1 0 1 0 1 1 0 0
0 1 0 0 0 1 1 0 0 1 1 0 1 1 1
0 0 0 1 0 0 0 0 1 1 0 0 1 1 0
Each state can also be represented using a binary number. For example, the preceding
matrices correspond to the numbers
000010000 101001100 110100001 101110100 100111110
There are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2,
3, . . . , and 511 to represent all states of the matrix. Write a program that prompts
the user to enter a number between 0 and 511 and displays the corresponding
matrix with the characters H and T. Here is a sample run:
Enter a number between 0 and 511: 7 ↵Enter
H H H
H H H
T T T
The user entered 7, which corresponds to 000000111. Since 0 stands for H and
1 for T, the output is correct.
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