. Generalize the range of values (in decimal) that can be represented in any given x number of bits using: a. Signed magnitude b. One's complement c. Two's complement 5. What is the highest and lowest values can be stored using 6 bits 2’s complement method?
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4. Generalize the range of values (in decimal) that can be represented in any given x number of
bits using:
a. Signed magnitude
b. One's complement
c. Two's complement
5. What is the highest and lowest values can be stored using 6 bits 2’s complement method?
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Solved in 2 steps
- A(n) __________ is an integer stored in double the normal number of bit positions.1) For a sytem of 10-digit unsigned base 2 numbers, how many numbers can be represented? 2) For a (n-1) digit 2's complement binary number (n>2), what is the number of negative integers? 3) For a 10 digit 2's complement number, what is the difference between the most positive number and the most negative number?Solve all parts or i will dislike A) 1.0 x 2^127 is the largest absolute number that can be represented in the 32-bit representation (True/False) For True enter 1 For False enter 0 ? B) 1.0 x 2^200 will be considered as Infinity in the 32-point representation (True/False) ?
- Express the significant (mantissa) of the largest negative number for the simple precision of the IEEE 754 format according to the example: 2^x-2^y, where both x and y are integers. You cannot use other characters than those indicated in the example, except for the two variables in which case you substitute the whole numbers including the sign. Please solve the exercise with step-by-step details. Indicate the sign, exponent, significant, normalized significand, result, etc. [This is all the information given to solve this exercise.]Convert 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 10dont use others answers 3 b) What decimal value does the 8-bit binary number 10011110 have if: i.it is interpreted as an unsigned number? ___________________________ ii.it is on a computer using signed-magnitude representation? _______________________ iii.it is on a computer using one’s complement representation? _______________________ iv.it is on a computer using two’s complement representation? _______________________
- Please answer parts a, b, and c of this question. Assume we are using the simple model for floating-point representation as given in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number): a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format. b) Show how the computer would add the two floating-point numbers in Part a by changing one of the numbers so they are both expressed using the same power of 2. c) Show how the computer would represent the sum in Part b using the given floating-point representation. What decimal value for the sum is the computer actually storing? Explain.7. 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 No2. If 1001 0110 is a binary number in excess-127 form, what is the decimal number? 3. Convert 97 to sign magnitude form using 8 bits. 4. Convert -97 to sign magnitude form using 8 bits.
- Are you able to differentiate between the least significant bit and the most significant bit in a given set of data?Which one of the following is correct ? a. Character - represented by One’s Complement b. Character - represented by Two’s Complement c. Integer - represented by ASCII d. Character - represented by UnicodeAssume that we have two different computers. One has a word length of 6 bits and the other has a word length of 15 bits. A) What is the range of numbers that can be stored in these computers assuming that the stored data is unsigned (without the sign bit)? B) What is the range of numbers that can be stored in these computers assuming 1’s complement is used to store data? C) What is the range of numbers that can be stored in these computers assuming 2’s complement is used to store data?