Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 00111111100000000000000000000000 =
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Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model.
00111111100000000000000000000000 =
11000001000101101011100001010010 =
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.What bit pattern is stored for the following characters assuming an 8-bit byte? a. A b. a c. 8 d. % 2. What character is represented by the following bit patterns? a. 0011 0000 b. 0100 0011 c. 0111 1000 d. 0010 1010Convert the given text below to Asynchronous Data Form. Assume each character has odd parity. There will be 1 start bit and 2 stop bits, the start bit is represented by 0 and stop bit is represented by 1. Convert this message “BSCpE” to ADF. Do not forget to write the idle in the beginning of ADF.
- 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. 0.1100×2−361. Using even parity, add parity bits to the following bit patterns: a. 0110 100 b. 1011 011 c. 0000 000 2. Using odd parity, add parity bits to the following bit patters: a. 0110 100 b. 1011 011 c. 0000 000In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100 What is the sum of each pair of binary integers? 10101111 + 11011011 10010111 + 11111111 01110101 + 10101100 Calculate binary 00001101 minus 00000111. How many bits are used by each of the following data types? word doubleword quadword double quadword What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 3A 1BF 1001…
- For each number, perform the following bitwise operations. You don't have to show work for each conversion. Format your answers in the following ways, points will be deducted if answers are not formatted correctly. Answers are numbered. Write all hexadecimal numbers using the 0x notation to differentiate between other number systems. Write all binary numbers in groups of 4 bits XXXX XXXX or groups of 8 bits XXXXXXXX Given the following signed 8-bit binary number: 1110 0101What are the two possible binary numbers after shifting 3 bits to the right? What is the result of (~142) in unsigned 8-bit binary? Hint: Convert 142 to binary then perform one's complement. Please answer 1 and 2.1.What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 2.What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 3.What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A 4.What is the unsigned decimal representation of each of the following hexadecimal integers? 3A 1BF 1001 5.What is the unsigned decimal representation of each of the following hexadecimal integers? 62 4B3 29FRound the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
- 6. 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. Suppose (27.625 base 10) is represented using IEEE754 Double Precision Floating Point Format. What is the Mantissa? Do not involve a space character when you type your answer. 2. Suppose (27.625 base 10) is represented using IEEE754 Double Precision Floating Point Format. What is the Exponent? Do not involve a space character when you type your answer. 3. Suppose (27.625 base 10) is represented using a 16-bit Floating Point Format where 1 bit is for the sign bit, 5 bits is for exponent and 10 bits is for mantissa. What is the mantissa? Do not involve a space character when you type your answer.n alternative to hexadecimal notation for representing bit patterns is dotted decimal notation in which each byte in the pattern is represented by its base ten equivalent. In turn, these byte representations are separated by periods. For example, 12.5 represents the pattern 0000110000000101 (the byte 00001100 is represented by 12, and 00000101 is represented by 5), and the pattern 100010000001000000000111 is represented by 136.16.7. Represent each of the following bit patterns in dotted decimal notation. 0000111100001111 001100110000000010000000 0000101010100000