The Puzzle Page is dedicated to bringing you the best puzzles collected from around the world along with original puzzles not seen anywhere else.
The staff at The Puzzle Page always enjoy seeing new puzzles and would love to hear from you. If you have a puzzle that's giving you problems, drop us a line -- we'd love to help.
The non-blog version of
The Puzzle Page has published a new
binary crossnumber puzzle. This is similar to another binary crossnumber puzzle
posted on this blog earlier.
As with the previous puzzle, the object of this one is to fill the 16 squares with the appropriate binary numbers. If you need a refresher on how decimal numbers compare to binary numbers DEW Associates Corporation has
a very nice number conversion chart on their website.
Across
1. 4 Across - 4 Down.
2. A multiple of 3.
3. Same as 1 Down.
4. A prime number.
Down
1. A prime number.
2. Twice the value of 3 Across.
3. 4 Across - 2 Down.
4. A prime number.
Hint: The three prime numbers (4 Across, 1 Down, and 4 Down) are unique.
If you like crossnumber puzzles consider these books from Amazon:
A reader of this page asks,
"
When does 1 plus 1 equal 10?"
I know the answer, do you?
In the puzzle
Barrels Full of Pellets you were asked to find a way to discover which single barrel contained pellets that were slightly heavier than all the other barrels. This brain teaser is based on that one, but is considerably more difficult:
You are presented with ten barrels of pellets, but this time you are told that some or all *may* have 2 gram pellets and the rest have 1 gram pellets. You are given a scale for measuring and you are only allowed to take a measurement one time.
How do you find out which of the ten barrels have 1 gram pellets and which of the barrels have 2 gram pellets?
This puzzle consists completely of binary numbers, so all the characters needed to fill in the squares will be 0s or 1s. The crossword is a 4x4 square grid, so all numbers will be written in binary, with 4 digits; e.g., 1 will be 0001, 2 will be 0010, and 4, 0100. The NOT operation changes all 0s to 1's and all 1s to 0s; e.g., NOT(0110) is 1001 and NOT(1010) is 0101.
Rows (Across):
1. "2 Down" x 2
2. A triangular number
3. The cube of ("4 Down" - 2)
4. "3 Across" + "3 Down"
|
Columns (Down):
1. NOT "2 Across"
2. NOT "1 Across"
3. "2 Across" x 2
4. "4 Across" - "1 Across"
|
You are presented with 10 barrels each full of small, round pellets. By looking at the pellets you cannot see or feel any difference between one barrel's pellets and the next barrel's pellets. You are told that 9 of the barrels contain 1 gram pellets and that the other barrel contains 2 gram pellets. The barrels are too large to move, so you can't try to push on them to see which seems heavier, but there is a weighing scale available to you. The problem is that for some strange reason you are only allowed to use the scale one time.
How can you figure out which barrel contains the 2 gram pellets using the scale only once?
