Question

Provide the decimal number derived from ANDing 11111110 & 11110001

A. 224
B. 240
C. 248
D. 192

Answer 1

Performing a bitwise AND operation on the binary numbers 11111110 and 11110001 results in the binary number 11100000. When converted to decimal, the result is 224.

Step-by-step explanation:

To find the decimal number derived from ANDing the binary numbers 11111110 and 11110001, we perform a bitwise AND operation:

• 1 AND 1 gives us 1
• 1 AND 1 gives us 1
• 1 AND 1 gives us 1
• 1 AND 0 gives us 0
• 1 AND 0 gives us 0
• 1 AND 0 gives us 0
• 1 AND 0 gives us 0
• 0 AND 1 gives us 0

The result of this operation is the binary number 11100000, which we can convert to a decimal. Here's how:

1. 27 corresponding to the leftmost 1 is 128
2. 26 for the next 1 is 64
3. 25 for the third 1 is 32
4. All other positions have a 0, so they do not contribute to the sum

Adding up 128 + 64 + 32, we get 224, which is our decimal number.