Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the state of the coins with the values 0 (heads) and 1 (tails). Here are some examples: 0 0 0   1 0 1    1 1 0    1 0 1   1 0 00 1 0   0 0 1    1 0 0    1 1 0   1 1 10 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   100111110There are a total of 512 possibilities. So, you can use the 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 3 x 3 matrix with the characters H and T.

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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Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the state of the coins with the 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 the 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 3 x 3 matrix with the characters H and T.

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