Perform the bitwise operation AND
on the numbers ~7 & ~8
Convert to binary form
Since Number 1 of 7 is not in binary form, we need to convert it to binary format
From this conversion, we get 111 as our binary number
Convert to binary form
Since Number 2 of 8 is not in binary form, we need to convert it to binary format
From this conversion, we get 1000 as our binary number
Handle negation sign
For 1, switch all 1's with 0's and all 0's with 1's
1 → 0
1 → 0
1 → 0
Our negation number is 000
Handle negation sign
For 2, switch all 1's with 0's and all 0's with 1's
1 → 0
0 → 1
0 → 1
0 → 1
Our negation number is 0000111
Make sure each of binary term has a length of 4,
the length of our longest binary number
Digit 1: 0000 AND 0111
For a bitwise AND operation, both bit 1 AND bit 2 need to be 1
For bit 1, this is not the case: 0 AND 0 = 0
Digit 2: 0000 AND 0111
For a bitwise AND operation, both bit 1 AND bit 2 need to be 1
For bit 2, this is not the case: 0 AND 1 = 0
Digit 3: 0000 AND 0111
For a bitwise AND operation, both bit 1 AND bit 2 need to be 1
For bit 3, this is not the case: 0 AND 1 = 0
Digit 4: 0000 AND 0111
For a bitwise AND operation, both bit 1 AND bit 2 need to be 1
For bit 4, this is not the case: 0 AND 1 = 0
This operation is shown below:
| 0 | 0 | 0 | 0 | ||
| AND | 0 | 1 | 1 | 1 | |
| = | 0 | 0 | 0 | 0 |
Final Answer:
Using our binary calculator, we can convert 00001110000 to an integer.
How does the Bitwise Operations Calculator work?
* Bitwise OR
* Bitwise AND
* Bitwise XOR
Also performs Bitwise NOT on 1 number
This calculator has 2 inputs.
What 3 formulas are used for the Bitwise Operations Calculator?
Bitwise AND means both bits must be 1
NOT reverses the bit value
For more math formulas, check out our Formula Dossier
What 2 concepts are covered in the Bitwise Operations Calculator?
- bitwise
- operates on one or more bit patterns or binary numerals at the individual bit level
- bitwise operations
Bitwise Operations Calculator Video
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