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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 (15)10+(+65)10(-15)_{10} + (+65)_{10}

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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.

This problem has been solved

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