The range of decimal values that can be represented using 8 bits in unsigned binary with Excess-127 notation is: O -128 to 127 O None of these O 127 to 128 O 127 to 382 O O to 255
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Q: What is the decimal representation of each of the following unsigned binary integers?a. 11111000
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- The following is a string of ASCII characters whose bit patterns have been converted intohexadecimal for compactness: 73 F4 E5 76 E5 4A EF 62 73. Of the eight bits in each pairof digits, the leftmost is a parity bit. The remaining bits are the ASCII code.(a) Convert the string to bit form and decode the ASCII.(b) Determine the parity used: odd or even?1. This question is about Binary Arithmetica. Calculate, showing all stages of your working, the representations of the following decimal numbers in 8-bit two’s complement:m = -61 p = -6n = -3 q = 43o = 15 r = -86b. Calculate, showing all stages of your working, using 8-bit two’s complement, the sums: m + n, n + o, m - o, p - q, r + q and q + (p - m).a) A digital sound recorder captures sound from the real-world, processes the audio and stores it in binary form. Using the principles of digital signal processing, practically explain how this phenomenon occurs. b) Use the two’s complement binary representation to represent each of the following integers as 10-bit binary numbers.i) -13710 ii) 14510 iii) -15810 iv) 16710 v) -11510 c) If an 8-bit binary number is used to represent an analog value in the range from 0 to 100kg, what does the binary value 011001002 represent?
- (Non-negative signed binary numbers) What happens if all of the zeros on the left side of a non-negative signed binary number are removed? In general, how does one convert a non-negative N-bit signed binary number to an M-bit unsigned binary number, where N ≤ M?1) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011CCTT211 Assignment: 1. Normalize the following binary floating-point numbers. Explicitly show the value of the exponent after normalization.a. 0.1011.1 * 26b. 1101.11 * 2-2 2. Convert the following numbers in 32-bit IEEE format.a. 16.25b. -12.75 3. Convert the following decimal integers to sign-and-magnitude with 8-bit allocationa. 45b. -78 4. One method of representing signed numbers in a computer is one’s complement representation. In this representation, to represent a positive number, we store the binary number. To represent a negative number, we apply the one’s comple- ment operation on the number. Store the following decimal integers to one’s complement with 8-bit allocation.a. 63b. -63 Note: For the problems, follow the instructions and provide the answers in the required format. Show your work and any calculations needed to arrive at the final answer.
- 1) Assume we have 16-bit (2 bytes) 2's complement system with a 2-bit fractional. Find a decimal representation of 2's complements number 1111 1111 1110 0111.11 (The quiz is expecting a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.) 2) Assume we have 8 bit (1 byte) 2's complement system with a 3-bit fractional. Find a decimal representation of 2's complements binary number 1010 0111.101 (The quiz is expecting a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.)8) Obtain the 1’s and 2’s complements of the following binary numbers correctly:(a) 10010000(b) 00000000(c) 11011010(d) 10101010(e) 10100101(f) 11111111 9) Convert decimal +49 and +29 to binary, using the signed-2’s-complementrepresentation and enough digits to accommodate the numbers. Thenperform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). Convert the answers back to decimal and verify that they are correct.The following is a string of ASCII characters whose bit patterns have been converted into hexadecimal for compactness: 73 F4 E5 76 E5 4A EF 62 73. Of the eight bits in each pair of digits, the leftmost is a parity bit. The remaining bits are the ASCII code. Convert the string to bit form and decode the ASCII.
- 2. What is the 2s complement of the following binary numbers? a. 01100 b 10001 3. Add the following 5-bit signed binary numbers together. Please indicate if overflow occurs. a. 00100 + 11000 b. 01010 + 01000 c. 11010 + 10011Calculate (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.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.…