(-25)10 2. Complete the following Decimal Number to 8 bit Binary Format. A. Change positive version of above Unsigned Binary Format → ( B. Change above Sign + Magnitude Binary Format C. Change above One's Complement Binary Format D. Change above Two's Complement Binary Format )2 )sm )2c
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- 2. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−367. 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. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or No(a) For the following two cases, please determine the radix r:(BEE)r = (2699)10(365)r = (194)10(b) Please add, subtract, and multiply in binary:100100 and 10110(c) Please add the following numbers in binary using 2’s complement to represent negative numbers.Use a word length of 6 bits (including sign) and indicate if an overflow occurs:(-11) + (-4) = ?11 + 9 = ?(-10) + (-6) = ?(d) Assume the following three cases are correct and assume three digits are used to represent positiveintegers. Determine the base of the numbers. Did any of the additions overflow?654 + 013 = 000024 + 043 + 013 + 033 = 223024 + 043 + 013 + 033 = 201
- Networking Let us calculate the checksum for a text of 8 characters (“Fundamentals”). The text needs to be divided into 2-byte (16-bit) words. We use ASCII (see Appendix A) to change each byte to a 2-digit hexadecimal number. Find the sum, wrapped sum, and checksum at both the sender side and receiver side. You must show me your work.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.…Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to represent the 10-bit information word: 1001100110. 22. Using the CRC polynomial 1101, compute the CRC code word for the information word, 01001101. Check the division performed at the receiver.
- 1. Assume numbers are represented in 8-bit two's complement Show the calculation of the following: a) 5 + 10 b) 5 – 10 c) -5 + 10 d)-5 – 10 2. Represent the following decimal numbers or values according to the given requirements: a) +4 in both binary sign/magnitude and two's complement b) -6 in both binary sign/magnitude and two's complement c) -85 in two's complement d) +52 in two's complement 3. Find the following differences using twos complement arithmetic: a) 001000 – 110111 b) 10100101 – 011110 c) 100100001011 – 101010110011 d) 10011011 – 10100101Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be correctedfor memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design ourerror-correcting code, find the code word to represent the 10-bit information word:1001100110.This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)
- Answer the following short questions briefly. Convert the following decimal integers into binary, octal, and hexadecimal:(a) 23, (b) 107, (c) 1238 (d) 92 (e) 173 Convert the following BCD numbers (assume that these are packed numbers) to decimal numbers:(a) 10001001, (b) 00001001(c) 00110010, (d) 00000001 Convert the following decimal numbers into both packed and unpacked BCD forms:(a) 102, (b) 44(c) 301, (d) 1000 Convert the following decimal numbers into 8-bit signed binary numbers:(a) +32, (b) -12 (c) +100 Convert the following binary numbers to the two’s complement form:(a) 1000 0001, (b) 1010 1100(c) 1010 1111, (d) 1000 0000 Find the memory address of the next instruction executed by the microprocessor, when operated in the real mode, for the following CS:IP combinations:(a) CS = 1A00H and IP = B000H(b) CS = 2300H and IP = 1A00H(c)…PLEASE NOTICE THIS SAYS BINARY ENCODING!!!!!!!!!!!!!!!!!!!!!!!1.37 Because A − B = A + (−B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract each of the following pairs of 5-bit binary numbers by adding the complement of the subtrahend to the minuend. Indicate when an overflow occurs. Assume that negative numbers are represented in 1's complement. (b) 11010 −11001 (c) 10110 −01101 Repeat the question using 2's complement to represent negative numbers.