1. Problem a: Convert hexadecimal number 156 to binary. Hexadecimal 156 means $1\times16^2 + 5\times16^1 + 6\times16^0 = 256 + 80 + 6 = 342$ in decimal. Convert decimal 342 to binary by dividing by 2: $$342_{10} = 101010110_2$$ 2. Problem b: Types of errors in computer programming: - Syntax errors: Code violates language rules and cannot compile. - Runtime errors: Errors occurring during program execution, like division by zero. - Logical errors: Program runs but produces incorrect results due to flawed logic. 3. Problem c: Evaluate $(BAE)_{16} + (DAD)_{16}$ and convert result to octal. First, convert each to decimal: $BAE_{16} = 11\times16^2 + 10\times16^1 + 14 = 2816 + 160 + 14 = 2990_{10}$ $DAD_{16} = 13\times16^2 + 10\times16^1 + 13 = 3328 + 160 + 13 = 3501_{10}$ Add: $2990 + 3501 = 6491_{10}$ Convert 6491 decimal to octal by division: $$6491_{10} = 15253_8$$ 4. Problem d: Write a C program to add 10 integer values into an array and calculate their average: ```c #include int main() { int arr[10], sum = 0; float avg; printf("Enter 10 integers:\n"); for (int i = 0; i < 10; i++) { scanf("%d", &arr[i]); sum += arr[i]; } avg = sum / 10.0; printf("Average = %.2f\n", avg); return 0; } ``` This program reads 10 integers, sums them, and calculates the average by dividing the sum by 10.