Question

Convert 131four to base 10

Answer 1

To convert the number 131 from base 4 to base 10, each digit is multiplied by the appropriate power of 4, resulting in the sum of 1 + 12 + 16, which equals 29. Therefore, 131 in base 4 is 29 in base 10.

Step-by-step explanation:

The question asks how to convert the number 1314 from base 4 to base 10.

To do this, we multiply each digit in the base 4 number by the power of 4 that corresponds to its position, counted from right to left starting from 0.

For the number 1314, this process is as follows:

• 1 × 40 = 1 × 1 = 1
• 3 × 41 = 3 × 4 = 12
• 1 × 42 = 1 × 16 = 16

Now, sum these values to get the base 10 equivalent:

1 + 12 + 16 = 29

So, 1314 in base 10 is 29.