erform six bit signed two’s complement arithmetic operation on (−15)10 +(+65)10
Question
Perform six bit signed two’s complement arithmetic operation on
Solution
To perform a six-bit signed two's complement arithmetic operation on (-15)10 + (+65)10, follow these steps:
Step 1: Convert the decimal numbers to binary representation. (-15)10 = 111001 (+65)10 = 1000001
Step 2: Pad the binary numbers with leading zeros to make them six bits long. (-15)10 = 00111001 (+65)10 = 1000001
Step 3: Perform the addition operation. 00111001 (-15)
- 1000001 (+65)
10111010
Step 4: Check if the result is positive or negative. Since the leftmost bit of the result is 1, it indicates a negative number in two's complement representation.
Step 5: Convert the binary result back to decimal. 10111010 = -70
Therefore, the result of (-15)10 + (+65)10 in six-bit signed two's complement arithmetic is -70.
Similar Questions
erform six bit signed two’s complement arithmetic operation on (−15)10 +(+65)10
Compute the following decimal arithmetic operation using 8-bit 2's complement: i) t5- 7; ii) -10+6 ; iii) -23-7.
Convert the following decimal values to a 16-bit 2's complement representation. (1*2Marks)i. -2342ii. 234
Perform the arithmetic operations ( +42) + ( - 13) in binary using signed-2's complement representation for negative numbers*111110100111000011000001110
Convert the following decimal values to 8-bit 2's complement representation(1*2 Marks)i. -92ii. -36
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.