Answer:
To convert (902A.06)16 to base 10, we need to multiply each digit of the hexadecimal number by its corresponding power of 16 and then add the results. Starting from the rightmost digit and working left, we have:
6 × 16^0 = 6 (0.1) × 16^1 = 1.6 A × 16^2 = 2560 2 × 16^3 = 8192 9 × 16^4 = 59049 (0.0) × 16^5 = 0
Adding these results, we get:
6 + 1.6 + 2560 + 8192 + 59049 + 0 = 69908.6
Therefore, (902A.06)16 is equal to 69908.6 in base 10.
To convert (7/64)10 to base 8, we need to first convert the fraction to a decimal. Since 7 is less than 64, we can use long division to find the decimal representation:
0.109375
64|7.000000 -64
36 -32
40
-32
8
-8
0
Therefore, (7/64)10 is equal to 0.109375 in decimal. To convert this decimal to base 8, we can use the method of successive multiplication:
0.109375 × 8 = 0.875 0.875 × 8 = 6.875 0.875 - 6 = 0.875 - 6.000 = 2.875 0.875 × 8 = 7
Therefore, (7/64)10 is equal to (0.16)8 in base 8.
Step-by-step explanation: