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Question 4 Perform the following operations using the 10-bit sign-magnitude representation of the operands: 100 - 200; 217-213; 217 +213; -217 - 213; Explain why in some cases we obtain wrong values. Question 5 Complete the following table: Base 10 8 bit 1's Complement Representation 8-bit 2's Complement Representation 217 -217 46 46 1111 1111 1111 1111 0101 0101 0101 0101 1111 0000 1111 0000 Question 6 Complete the following table: Base 10 2-byte SM code 2-byte 1's code 2-byte 2's code 1110101111101100 1101100101000110 -9914 Question 7 Represent the number 6248 in BCD. questions Complete the following table: 16-bit Base 10 1's Complement Representation ABCD16 16-bit 2's Complement Representation AOBI FO008 123456 Question 9 The state of a 12-bit register is 100010010111. What is its content if it represents: (a) Three decimal digits in BCD? (b) Three decimal digits in the excess-3 code? (c) Three decimal digits in the (8 4-2-1) code? (d) A binary number? (e) A Sign-magnitude representation of a signed integer O A1's Complement representation of a signed integer (g) A 2's Complement representation of a signed integer Question 10 In this question, we use 2-byte fixed-point encoding where 9 bits are used for the integer part. a) What is the smallest non-zero positive real number that can be encoded? b) What is the binary representation of (-103.405) 20? c) Calculate the precision error due to the coding of (-103.405) 20. . Question 11 The IEEE-754 floating-point simple precision standard is defined below: 32-bit wide MSB = sign bit, 0 = positive: 1 negative 8-bit biased exponent where the bias value is 127 23-bit normalized mantissa a) Find the representation of C-1023.415). b) Find the decimal value of 0101010101 011010101010101010 0101. Question 12 Find the 16-bit fixed point representation of -12.21 knowing that 8 bits are reserved for the fractional part. What is the accuracy of this code? What is the minimum and maximum values that can be encoded with this code? Question 13 Find the representation of decimal 277.875.0 and 55.3 10 using a 16-bit fixed point representation where 8 bits are reserved for the integer part. Question 14 IEEE-754 single-precision 32-bit encoding is defined as follows: 1 sign bit: 0 if the sign is positive; 1 if the sign is negative. 8 bits for the biased exponent with a bias equal to 127. 23 bits for the unsigned normalized mantissa. Find the representation of decimal -255.02 and 2048.03125 in the above standard. Convert your result to base 16