1) What is the 2-bit hexadecimal representation of cach of the following decimal integers? a. -98 b. 126
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- 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 10Solve 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) ?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).
- Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) ). What are the 16-bit 1’s and 2’s complements of the following binarynumbers?a. 10000b. 100111100001001c. 01001110001001002. 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 impliedbinary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−367. 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 No
- Consider a 6-bit two’s complement representation. Fill in the box with question mark "?" in the following table. You don't need to care about "n/a." Number Binary Representation TMin + TMin ? Please input the binary representation in this format xxxxxx. For example, if the answer is 010010, please input 010010.47 by -18 (integers in decimal (base 10)). Q1 : What is the remainder of the division in FP decimal representation (i.e., if rem=53 then its FP decimal representation is 53.0)? What is the resulting number if you shift it three digits to the right of the decimal point? Express your shifted result as a single precision FP number using the IEEE 754 standard for single precision. YOU MUST FIRST CONVERT THE NUMBER FROM BASE 10 to BASE 2 and then do normalization etc. Do not calculate more than the first 8 fraction bits.Question5) Given Two Integers 11 and 9 how many binary bits are required to represent the larger one?
- 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 + -10011Show Steps Please 20. Suppose we have just found yet another representation for floating point numbers. Using thisrepresentation, a 12-bit floating point number has 1 bit for the sign of the number, 4 bits forthe exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so thatthe first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed2's complement representation. No bias is used and there are no implied bits. Show therepresentation for the smallest positive number this machine can represent using the followingformat (simply fill in the squares provided). What decimal number does this equate to?What is the binary equivalent (in two's complement binary representation) of the following signed decimal value? Represent the integer part of the binary value, including the sign, in 8 bits. Represent the fraction part of the binary value in 4 digits. Use truncation, if needed. -56.6875 _________