1) Calculate the following operations in 5-bits 2's complement notation. a) 13- (-12) b)-12-9
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- 6. Perform the following binary multiplication. Assume that all values are 2’s complementnumbers. Indicate the result and whether there is overflow or not.1011 * 1101EX.3:Convert four last digits (suppose that each digit is the hexadecimal number) in your roll number to binary.Example: if your roll number is HE162491, then four last digits in your roll number are 2491. So, in binary form you will have: 0010 0100 1001 0001a. Encoding each block of 8 bits with Hamming Code (12, 8). b. Using any one encoded block in [a] and modify to one bit error. Explain how to correct error bit?11. Perform the following hexadecimal additions and subtractions. Assume the numbers are stored in 32-bit 2’s complement binary numbers. Indicate the sign of the answer and whether overflow occurs. a. 74F – D63E
- Please write all the process. 1.. Perform the following multiplications. Assume that all values are unsigned numbers. (No problem with unsigned (always positive) numbers, just use the same standard techniques as in base 10.) a.1010 * 0110 2.Perform the following multiplications. Assume that all values are signed 2’s complement numbers. c.11101 * 1110111. Perform the following hexadecimal additions and subtractions. Assume the numbers are stored in 32-bit 2’s complement binary numbers. Indicate the sign of the answer and whether overflow occurs. c. E9B20F5D – FE605C8D7. Perform the following binary division. Assume that all values are unsigned positive numbers.10100 / 11
- Perform the following binary multiplication. Assume that all values are 2’s complement numbers. Indicate the result and whether there is overflow or not. 1011 * 1101 Perform the following binary division. Assume that all values are unsigned positive numbers. 10100 / 116. Convert the following numbers from unsigned binary notation to decimal notation, and from 6-bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...01. List the octal and hexadecimal numbers from (16)10 to (32)10.2. Convert the following numbers with indicated bases to decimal.(a) (4310)5(b) (123)8(c) (2F A)16(d) (212)33. What is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.4. Determine the base of the numbers for the following operation to be correct: 54/4 = 135. Convert the hexadecimal number 68BE to binary, and then convert it from binary to Octal.6. Convert the decimal number 431 to binary in two ways:(a) Convert directly to binary.∗Engr. Sheraz Ali Khan, PhD 1 (b) First convert it into hexadecimal and then from hexadecimal to binary. Which is faster in youropinion?7. Express the following numbers in decimal:(a) (10110.0101)2(b) (26.24)8(c) (F AF A.B)168. Solve the following conversion problems:(a) Convert the decimal number 27.315 to binary.(b) Calculate the binary equivalent of 2/3 to eight places after the binary point.…
- 8. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1111 0010 + 1101 0110 ----------- Overflow? Yes or No Carry? Yes or No2. Write the normalized floating-point representation of (+ 33.025)10. Assume 16 bits to represent mantissa and 8 bits to represent exponents. Compare 84-2-1and 8421 code. Draw a figure for five bits odd parity generator and parity checker.Perform the following additions and subtractions. Assume the numbers arestored in hexadecimal representation. 74F – D63E Perform the following hexadecimal additions and subtractions. Assume thenumbers are stored in 32-bit 2’s complement binary numbers. Indicate the sign ofthe answer and whether overflow occurs. E9B20F5D – FE605C8D