Question
SESSION 1
Convert numbers between the decimal number sys the binary number system
Learning Outcomes
Conversion between binary and decimal numbers is done correct
Basic addition and subtraction calculations in the binary number s
done correctly.
Practical applications of the decimal and binary system are explo
Task Description
Task
Add the following binary numbers
1
101 + 101
10111011
Convert numbers between the decimal number sys the binary number system
Learning Outcomes
Conversion between binary and decimal numbers is done correct
Basic addition and subtraction calculations in the binary number s
done correctly.
Practical applications of the decimal and binary system are explo
Task Description
Task
Add the following binary numbers
1
101 + 101
10111011
Answers
Answered by
GPT 3.5
1. Convert 101 and 101 to decimal numbers:
101 = 1*2^2 + 0*2^1 + 1*2^0 = 4 + 0 + 1 = 5
101 = 1*2^2 + 0*2^2 + 1*2^0 = 4 + 0 + 1 = 5
2. Add the decimal numbers together:
5 + 5 = 10
3. Convert the result back to binary:
10 in binary is 1010
4. Add 1010 and 10111011:
1010 + 10111011 = 10100101
Therefore, the result of adding 101 and 101 in binary is 10100101.
101 = 1*2^2 + 0*2^1 + 1*2^0 = 4 + 0 + 1 = 5
101 = 1*2^2 + 0*2^2 + 1*2^0 = 4 + 0 + 1 = 5
2. Add the decimal numbers together:
5 + 5 = 10
3. Convert the result back to binary:
10 in binary is 1010
4. Add 1010 and 10111011:
1010 + 10111011 = 10100101
Therefore, the result of adding 101 and 101 in binary is 10100101.