erform six bit signed two’s complement arithmetic operation on (−15)10 +(+65)10
Question
erform six bit signed two’s complement arithmetic operation on (−15)10 +(+65)10
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.
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