Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =
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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.
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. 0.1100×2−36Round 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 signsWrite down the bit pattern in the fraction of value 1/3 assuming a floating point format that uses binary numbers in the fraction. Assume there are 24 bits, and you do not need to normalize. Is this representation exact?
- Show Steps Please 8. Decode the following ASCII message, assuming 7-bit ASCII characters and no parity: 1001010 1001111 1001000 1001110 0100000 1000100 1001111 10001016. 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. 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 000
- Make a bit pattern assuming we're using base 15 numbers instead of base 2 in the fraction. (The symbols 0-9 and A-F are used in Base 16 numbers.) 0-9 and A-E will be used for base 15 numbers.) Assume there are 24 bits and that no normalization is needed. Is this a true representation?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 NoCreate a 4-bit by 3-bit binary multiplier that multiplies a 4-bit number by a 3-bit number. Note: The 4-bit number should be the multiplicand and the 3-bit number should be the multiplier.