0
Each place value column in a binary number can have only one of two values: 0 or 1; thus the counting numbers in binary are:
1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, ...
To product (or multiply) binary numbers, use long multiplication like normal, but when adding the columns together remember how binary counting goes (above) which means you may carry more than 1, in which case carry to more than one column, eg if the sum is 101 put a 1 under the column, carry 10 to the previous 2 columns (ie 0 to the next left column and 1 to the column to the left of that one).
example 1111 × 101 = 1001011 (in decimal 15 × 5 = 75)
---------------------------------------------------------------------------------------------------------------------------
If you meant to produce binary numbers, that is convert decimal to binary, then the general algorithm to convert between bases works:
- divide the number by the new base to get a whole number quotient and a remainder
- note the remainder
- replace the number by the quotient
- if the number is not zero repeat from step 1
- write the remainders in reverse order to get the original number in the new base.
For binary, the new base is 2.
Example 75 in binary:
75 ÷ 2 = 37 r 1
37 ÷ 2 = 18 r 1
18 ÷ 2 = 9 r 0
9 ÷ 2 = 4 r 1
4 ÷ 2 = 2 r 0
2 ÷ 2 = 1 r 0
1 ÷ 2 = 0 r 1
→ 75 in binary is 1001011
To convert from binary to decimal remember that each place value column of a binary number has twice the value of the column to its right; add the value of each column by its binary digit (bit).
eg 1001011 = (1 × 64) + (0 × 32) + (0 × 16) + (1 × 8) + (0 × 4) + (1 × 2) + (1 × 1) = 64 + 8 + 2 + 1 = 75
It may be easier to start from the right hand end of the number and work left as then you start with the place column value of 1 and multiply it by 2 each time:
eg 1001011 = (1 × 1) + (1 × 2) + (0 × 4) + (1 × 8) + (0 × 16) +( 0 × 32) + (1 × 64) = 1 + 2 + 8 + 64 = 75
Add your answer:
Earn +20 pts
The product of the binary numbers 0110 and 0011?
10010
What is the product of 57?
A product is a binary operation: you need 2 (or more) numbers in order for there to be a product.
What are two ways to find the product of 34?
"Product" is a binary operation. That means you need two numbers before you can have a product. So 34 does not have a product and so there is no way to find it!
How do you find the product of a fraction?
A product is a binary operator. That means a product is the result of combining TWO numbers. You cannot have a product of just one number - whether it is a fraction or not is irrelevant.
What are the numbers in binary?
The only numbers used in binary are 0 and 1
What is the product of the binary numbers 0101 and 0101?
What is the product of the binary numbers 0101 and 0101?
The product of the binary numbers 0110 and 0011?
10010
The product of the binary numbers 0101 and 0101?
11001
What is the product of 57?
A product is a binary operation: you need 2 (or more) numbers in order for there to be a product.
What is the product of 288?
A product is a binary operation which means that you need TWO numbers before you can calculate a product.
How do you find the product of 16?
"Product" is a binary operator. A binary operator takes two numbers as input and combines them into an output. Your question gives only one number as input and so a sensible answer is impossible. "Product" is a binary operator. A binary operator takes two numbers as input and combines them into an output. Your question gives only one number as input and so a sensible answer is impossible. "Product" is a binary operator. A binary operator takes two numbers as input and combines them into an output. Your question gives only one number as input and so a sensible answer is impossible. "Product" is a binary operator. A binary operator takes two numbers as input and combines them into an output. Your question gives only one number as input and so a sensible answer is impossible.
Which is the product of 6?
A "product" is a binary operator. That means, you need two numbers (or variables) before you can define their product.
What is the product of 88?
A "product" is a binary function. That is, it combines TWO numbers into one according to some rule. A binary function must have two numbers to work with.
What is the product of 14?
The product of 14 refers to the result of multiplying 14 by another number. If no specific number is given, the product of 14 is simply 14. In mathematical terms, the product of 14 can be represented as 14 multiplied by x, where x is any real number.
Can you estimate the product 480?
No. "Product" is a binary operation, which means that a product is defined for two (or more) numbers but never for just one number.
Why sum of some numbers not equal their product?
Because summing and taking the product are two entirely different binary operations.
What are two ways to find the product of 34?
"Product" is a binary operation. That means you need two numbers before you can have a product. So 34 does not have a product and so there is no way to find it!
