Final answer:
The binary number 101111 is odd because it ends in 1. It converts to 47 in decimal form, which is accomplished by summing the products of each digit by its corresponding power of 2.
Step-by-step explanation:
To determine whether a number written in binary is even or odd, you can look at the last digit (the least significant bit). If the last digit is 0, the number is even; if it is 1, the number is odd. The binary number provided, 101111, ends with a 1, which means it is an odd number.
To convert the binary number 101111 into base ten, we start from the rightmost digit and move to the left, assigning powers of 2 to each digit, starting with 20. The conversion process looks like this:
- 1 × 25 = 32
- 0 × 24 = 0
- 1 × 23 = 8
- 1 × 22 = 4
- 1 × 21 = 2
- 1 × 20 = 1
Adding these up gives us 32 + 8 + 4 + 2 + 1 = 47 in base ten. Therefore, 101111 in binary is equal to 47 in decimal.