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2. To convert the binary number 111011101102 into a decimal number system, you start from the rightmost bit and multiply each bit by 2 raised to the power of its position, starting from 0.

1*2^0 + 1*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 1*2^5 + 0*2^6 + 1*2^7 + 1*2^8 + 1*2^9 = 1 + 2 + 0 + 8 + 16 + 32 + 0 + 128 + 256 + 512 = 955

3. Similarly, for the binary number 1100110012, the equivalent decimal number is:

1*2^0 + 0*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7 + 1*2^8 = 1 + 0 + 0 + 8 + 16 + 0 + 0 + 128 + 256 = 409

4. The 8-bit 2's complement signed representation of -79 is 10110001 and for 127 it is 01111111.

5. The 12-bit 2's complement representation of 1024 is 10000000000 and for -128 it is 111111100000.

6. The 16-bit 2's complement representation of -16384 is 1100000000000000 and for 8192 it is 0010000000000000.

7. For binary arithmetic operations using the 2’s complement method:

a. Sum of -9 and 25 is 16, which is 00010000 in binary.

b. Sum of -20 and -15 is -35, which is 11011101 in binary.

c. Multiplication of -3 by -8 is 24, which is 00011000 in binary.

d. Multiplication of -12 by -5 is 60, which is 00111100 in binary.

e. Division of -40 by -4 is 10, which is 00001010 in binary.

Question

Sure, let's go through these step by step:

2. To convert the binary number 111011101102 into a decimal number system, you start from the rightmost bit and multiply each bit by 2 raised to the power of its position, starting from 0.

1*2^0 + 1*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 1*2^5 + 0*2^6 + 1*2^7 + 1*2^8 + 1*2^9 = 1 + 2 + 0 + 8 + 16 + 32 + 0 + 128 + 256 + 512 = 955

3. Similarly, for the binary number 1100110012, the equivalent decimal number is:

1*2^0 + 0*2^1 + 0*2^2 + 1*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 1*2^7 + 1*2^8 = 1 + 0 + 0 + 8 + 16 + 0 + 0 + 128 + 256 = 409

4. The 8-bit 2's complement signed representation of -79 is 10110001 and for 127 it is 01111111.

5. The 12-bit 2's complement representation of 1024 is 10000000000 and for -128 it is 111111100000.

6. The 16-bit 2's complement representation of -16384 is 1100000000000000 and for 8192 it is 0010000000000000.

7. For binary arithmetic operations using the 2’s complement method:

a. Sum of -9 and 25 is 16, which is 00010000 in binary.
   
   b. Sum of -20 and -15 is -35, which is 11011101 in binary.
   
   c. Multiplication of -3 by -8 is 24, which is 00011000 in binary.
   
   d. Multiplication of -12 by -5 is 60, which is 00111100 in binary.
   
   e. Division of -40 by -4 is 10, which is 00001010 in binary.

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