Convert the Following Hexadecimal Numbers to Decimal: A, FF, B, F0A2, C, 0F100, D, 100

To convert hexadecimal numbers to decimal, we need to understand that hexadecimal is a base-16 number system, which means it uses 16 symbols: 0-9 and A-F. The letters A to F represent decimal values 10 to 15, respectively. Each digit in a hexadecimal number represents a power of 16, starting from the rightmost digit, which is 16⁰.

1. A: This is equal to 10 in decimal.
2. FF: This equals 15 x 16¹ + 15 x 16⁰ = 240 + 15 = 255 in decimal.
3. B: This is equal to 11 in decimal.
4. F0A2: This equals 15 x 16³ + 0 x 16² + 10 x 16¹ + 2 x 16⁰ = 61440 + 0 + 160 + 2 = 61602 in decimal.
5. C: This is equal to 12 in decimal.
6. 0F100: This equals 0 x 16⁴ + 15 x 16³ + 1 x 16² + 0 x 16¹ + 0 x 16⁰ = 0 + 61440 + 256 + 0 + 0 = 61706 in decimal.
7. D: This is equal to 13 in decimal.
8. 100: This equals 1 x 16² + 0 x 16¹ + 0 x 16⁰ = 256 + 0 + 0 = 256 in decimal.

Thus, the decimal equivalents are:

• A = 10
• FF = 255
• B = 11
• F0A2 = 61602
• C = 12
• 0F100 = 61706
• D = 13
• 100 = 256