In the following, write the binary number in base 10.
1001111
The binary number 1001111 can be written as 79 in base 10.
To convert the binary number 1001111 to base 10, follow these steps:
1. Start from the rightmost digit of the binary number (least significant bit).
2. Assign a value of 1 to the rightmost digit, and keep doubling the value as you move from right to left.
3. Multiply each digit by its corresponding value and sum them all up.
Let's calculate it:
Starting from the rightmost digit:
1 * 2^0 = 1
1 * 2^1 = 2
1 * 2^2 = 4
0 * 2^3 = 0
0 * 2^4 = 0
1 * 2^5 = 32
1 * 2^6 = 64
Now, add up all the values:
1 + 2 + 4 + 0 + 0 + 32 + 64 = 103
Therefore, the binary number 1001111 in base 10 is equal to 103.