1. What bit pattern is stored for the following characters assuming an 8-bit byte? а. A b. a с. 8 d. % 2. What character is represented by the following bit patterns? а. 0011 0000 b. 0100 0011 с. 0111 1000 d. 0010 1010
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Q: 2. What is the 2s complement of the following binary numbers? a. 01100 b 10001
A: As per bartleby guidlines we are allowed to answer only one question.
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.A(n) __________ is an integer stored in double the normal number of bit positions.Question 11 Not yet answered P Flag question A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer s are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O c. 0.03125% O d. 0.97865% O e. 0%
- What are the mantissa and exponent values if 6.75 is represented in 8-bit binary floating-point representation? a) Mantissa is 1011 and exponent is 101 b) Mantissa is 0011 and exponent is 100 c) Mantissa is 1011 and exponent is 100 d) Mantissa is 0011 and exponent is 101Round 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 signs1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers
- inal Exam, Computer Organization 110408240, Sep 1 2021 Consider the following binary number that is represented using a floating-point format with (1 bit) for the sign, (8 bits) for the biased exponent and (8 bits) for the magnitude, and answer the following 1 10000110 10101001 1- What is the bias value? 2-What is the exponent value? AGE NEXT PACIf the mantissa in a 16-bit floating point number is 10 bits long, then this mantissa 1101100000 when converted to base-10 is equal to: .8125 .8342 .0625 .84375 None among the given choicesConvert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10
- 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 29FWhat is the largest numeric value that could be represented with three bytes if each digit were encoded using one ASCII pattern per byte? What if binary notation were used? 8 bits( 1ASCII pattern) 8 bits( 1ASCII pattern) 8 bits( 1ASCII pattern) 24 bits. Largest numeric value in 24 bits….224…???4. Convert each of the following binary number to decimal number? (a) 11011.11 (b) 101010.01 (c) 1000001.111 (d) 11111000.101 (e) 1011100.10101 (f)1110001.0 (g) 1011010.1010 (h) 1111111.11111