Question

Add, subtract, and multiply in binary.
1111 and 1100
sum =

Answer 1

Adding binary numbers 1111 and 1100 results in 11011, which corresponds to 27 in decimal. The process is similar to decimal addition, but only uses the digits 0 and 1 and involves carrying over when the sum in a column reaches 2 or more.

Step-by-step explanation:

Binary Addition of 1111 and 1100

To add binary numbers such as 1111 (fifteen in decimal) and 1100 (twelve in decimal), you align them and add as you would with decimal numbers, carrying over when you have two 1s in a column. The sum of 1111 and 1100 in binary is:

• 1111
• +
• 1100
• -----
• 11011

The result, 11011, translates to 27 in decimal.

Remember, when you add two positive numbers in binary, you follow the same principles of addition as in decimal numbers, but in binary, you only have two digits: 0 and 1. If a column adds up to 2 (10 in binary), you write down 0 and carry over 1 to the next column to the left, and if it adds up to 3 (11 in binary), you write down 1 and carry over 1.