35.4k views
5 votes
Provide the decimal number derived from ANDing 00001110 & 11111111

A 15
B. 14
C. 16
D. 17

1 Answer

2 votes

Final answer:

To derive the decimal number, perform a bitwise AND operation on the binary numbers. The result is 14 in decimal.

Step-by-step explanation:

To derive the decimal number from ANDing 00001110 and 11111111, we need to perform a bitwise AND operation. The bitwise AND operation compares the corresponding bits of the two binary numbers and returns a result with those bits set to 1 where both have 1, and 0 otherwise.

Using the binary numbers 00001110 and 11111111:

  • 0 AND 1 = 0
  • 0 AND 1 = 0
  • 0 AND 1 = 0
  • 0 AND 1 = 0
  • 1 AND 1 = 1
  • 1 AND 1 = 1
  • 1 AND 1 = 1
  • 1 AND 1 = 1

The resulting binary number is 00001110 (or 14 in decimal).

User Fygo
by
8.4k points