Final answer:
3D7 [base 16] plus FF [base 16] equals 1238 in decimal. This is obtained by converting each hexadecimal number to decimal (3D7 to 983 and FF to 255) and then adding them together.
Step-by-step explanation:
To calculate 3D7 [base 16] plus FF [base 16] and determine what it is equal to in decimal, we need to first convert each hexadecimal number to decimal and then add them together.
Converting 3D7 from hexadecimal to decimal:
- 3 x 162 = 3 x 256 = 768
- D (which is 13 in decimal) x 161 = 13 x 16 = 208
- 7 x 160 = 7 x 1 = 7
Add these together: 768 + 208 + 7 = 983
Converting FF from hexadecimal to decimal:
- F (which is 15 in decimal) x 161 = 15 x 16 = 240
- F (which is 15 in decimal) x 160 = 15 x 1 = 15
Add these together: 240 + 15 = 255
Now, we add the two decimal values: 983 + 255 = 1238.
Therefore, 3D7 [base 16] plus FF [base 16] equals 1238 in decimal.