1. a. Convert 113 (in base 10) to a binary number using the unsigned 8-bit binary representation. b. .Convert 1001 1010 to an integer assuming that the binary sequence uses the unsigned 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation. c.Convert the binary sequence 1010 0001 to a decimal integer assuming that the binary sequence uses the two's complement 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation.

1. a. Convert 113 (in base 10) to a binary number using the unsigned 8-bit binary representation. b. .Convert 1001 1010 to an integer assuming that the binary sequence uses the unsigned 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation. c.Convert the binary sequence 1010 0001 to a decimal integer assuming that the binary sequence uses the two's complement 8-bit binary representation. Present your answer using the usual sign-magnitude base 10 representation.

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 4PE

See similar textbooks

Similar questions

A(n) __________ is an integer stored in double the normal number of bit positions.
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).
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 No
Please solve and show all work. Thank you. What is 5ED4 - 07A4 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal. Show your work. What decimal number does the bit pattern (0C000000)16 represent if it is a floating-point number? Use the IEEE 754 standard. Write down the binary representation of the decimal number 63.25, assuming the IEEE 754 double precision format. What are the corresponding MIPS instructions to this C code: C code: float f2c (float fahr) { return ((5.0/9.0)*(fahr - 32.0));} if fahr in $f10, result in $f2, literals in global memory space.
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 10
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.
1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
a) Use the two’s complement binary representation to represent each of the following integers as 10-bit binary numbers. i) -13710 ii) 14510 iii) -15810 iv) 16710 v) -11510 b) If an 8-bit binary number is used to represent an analog value in the range from 0 to 100kg, what does the binary value 011001002 represent?
Represent the following numbers to its 6-bit binary representation and perform binary subtractionusing 2’s compliment representation 50-30?
Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01 The answer should be formatted as a fractional 2's complement binary number representation with the exact format of the answer that is required of this particular calculation. I've gotten an answer of 1001 1110.00 but it says its wrong please help
Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.