Answer :
In the context of Computers and Technology, the question is asking for the evaluation of expressions using several operators commonly found in programming, such as bitwise and logical operators. Let's evaluate each expression one by one:
(i) 67 & 76
The & operator is a bitwise AND operator, which means it compares each bit of two numbers and returns a new number whose bits are set to 1 only in positions where both original numbers have 1s.
Firstly, convert the numbers to binary:
- 67 in binary: 1000011
- 76 in binary: 1001100
Perform bitwise AND:
```
1000011
& 1001100
1000000
Convert the result back to decimal: 64(ii) **67 | 76**
The `|` operator is a bitwise OR operator, which compares each bit of two numbers and returns a new number whose bits are set to 1 if either of the bit in that position is 1.
Perform bitwise OR:
1000011
| 1001100
1001111
Convert the result back to decimal: 79(iii) **67 && 76**
The `&&` operator is a logical AND operator. It does not operate on individual bits but instead considers whether the numbers themselves are non-zero (true in logical terms). In boolean logic, any non-zero value is considered true.
- Since both 67 and 76 are non-zero, the expression evaluates to boolean true (1).
(iv) **67 || 76**
The `||` operator is a logical OR operator. Like `&&`, it evaluates the truthiness of the numbers as wholes. If either of the numbers is non-zero, the expression evaluates to true.
- Since both 67 and 76 are non-zero, the expression evaluates to boolean true (1).
(v) **~-67**
The `~` operator is a bitwise NOT operator, which inverts all the bits of the number. However, since in programming this usually considers the number to be in its two's complement form, `-67` becomes 67 first, and then `sizeof(int)` (like 32 or 64 bits) influences the result.
- Assuming 8 bits for simplicity (usually it is more, e.g., 32 or 64):
- Convert 67 to binary: 1000011
- Perform NOT operation: 0111100
- This is the bitwise NOT of 67 (not -67 as given, negative is accounting in two's complement).
Exact results depend on the size of your integer, which is often beyond casual High School knowledge so may depend on your specific computing environment.
(vi) **76 << 4**
The `<<` operator is a left shift operator, which moves all bits of the number to the left by the specified number of places, filling the right side with zeros.
Convert 76 to binary:
- 76 in binary: 1001100
Shift 4 places to the left:
- 10011000000 (four zeros added to the right)
Convert the result back to decimal, which is: 1216