1. What is the sum of each of the following 8-bit unsigned addition operations (UAdd)? Show the sum as decimal, binary, octal and hex. a. 128 + 138 b. 128 + 130 c. 255 + 255
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1. What is the sum of each of the following 8-bit unsigned addition operations (UAdd)? Show the sum as decimal, binary, octal and hex.
a. 128 + 138
b. 128 + 130
c. 255 + 255
Step by step
Solved in 3 steps
- A. Write the binary representation of number 1173.379 in IEEE 754 standard in single precision.Express the result in binary, oct, and hex formats. B. Write the binary representation of number 75.83 in IEEE 754 standard in double precision. Expressthe result in binary, oct, and hex formats. C. Register f3 contains the 32-bit number 10101010 11100000 00000000 00000000. What is thecorresponding signed decimal number? Assume IEEE 754 representation.Calculate (3.41796875 *10-3 * 6.34765625 *10-3) by hand, assuming each of the values arestored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 roundbit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer inthe 16-bit floating point format.Calculate (4.41762275 *10-3 + 6.34225625 *10-3) * 1.05225 * 102 by hand, assuming each of the values are stored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.
- A. How many bits are needed to represent 214(octal) in binary?B. Show the 2’s complement binary (10 bits) representation of (-246)(10)C. Convert the following 2’s complement binary number to decimalrepresentation:10010010a. Assume (F43)(16) and (1B7)(16) are unsigned 12-bit Hexadecimal integers.CalculateF43 -1B7. Is there overflow?b. Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate185 - 122. Is there overflow?c. Calculate (1100 1101)2 + (1100 10101)2Question 5 What is the largest number which can be encoded in the one's complement convention on a 16-bit machine? (You can use the character to denote taking a power of a number)
- 1. 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.…Find the two’s complement of the following decimal integers using an 8-bit memory location or indicate if an overflow condition occurs a)+5210 b)−5910In the following problems, you are asked to convert from one number base to another. show all your work: Convert the 8-binary binary expansion ( 0110 1001 )2 to a decimal expansion. Convert the following decimal expansion ( 124 )10 to an 8-bit binary expansion. Convert the following hexadecimal expansion ( BAD )16 to an octal expansion. Convert the following binary expansion ( 0110 1011 1001 1101 )2 to a hexadecimal expansion.
- Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Perform the following calculations on hexadecimal numbers. Assume 24-bit unsigned integers, and discard the overflow bit from the result if any. 6A72B3+171137=???Assume you have 4 bits of storage available to store signed binary integers, If possible using the two complement representation of integers, perform binary addition on the following. Is it possible to store the result? Show your work and explain. (-4) + (-5) (-7) + (+3)