A 16-bit register in a computer contains 0011 1000 0101 0111. What does its contents represent if it contains d) a 4-digit hexadecimal number (express your answer as a decimal number), e) a 16-bit signed binary number (express your answer as a decimal number), f) two characters in an odd parity ASCII code (the parity bit is on the left)?

A 16-bit register in a computer contains 0011 1000 0101 0111. What does its contents represent if it contains d) a 4-digit hexadecimal number (express your answer as a decimal number), e) a 16-bit signed binary number (express your answer as a decimal number), f) two characters in an odd parity ASCII code (the parity bit is on the left)?

Name: A 16-bit register in a computer contains 0011 1000 0101 0111. What doe
Uploaded: 2024-03-20T06:51:23.000Z
Channel: Bartleby
Description: A 16-bit register in a computer contains 0011 1000 0101 0111. What does its contentsrepresent if it containsd) a 4-digit hexadecimal number (express your answer as a decimal number),e) a 16-bit signed binary number (express your answer as a decimal n

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

___________ 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.
Computer Science Assume the following register contents: $t0 = 1111 1111 1111 1111 1111 1111 0011 1010 = 0xFFFFFF3A $t1 = 0010 0011 0100 0101 0110 0111 1000 1001 = 0x23456789 a. What are the decimal values of $t0 and $t1, respectively, if they are 32-bit two's complement signed numbers? b. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? sll $t2, $t0, 4 or $t2, $t2, $t1 c. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? sll $t2, $t0, 2 nor $t2, $t2, $t1 d. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? srl $t2, $t0, 4 and $t2, $t2, $t1
Consider a 32-bit hexadecimal number stored in memory as follows: Address Value 100 2A 101 C2 102 08 103 1B If the machine is little endian and the number is an IEEE single-precision floating-point value, determine the decimal equivalent of the number stored at address 100 (you may leave your answer in scientific notation form, as a number times a power of two).
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.
Consider a hypothetical 8 bit floating point machine representation with a sign bit, a 3 bit exponent, and a 4 bit mantissa (se1e2e3b1b2b3b4), where the exponent bias is 3 (add 3 to exponent of number to form machine representation). Recall that actual mantissa has 5 bits, since the leading 1 is not stored on the machine. (a) What is the number ?≈2.718 in this 8-bit format? (b) What is the number that (10100111)2 represents in this 8-bit format? (c) What is the upper bound of the relative error when representing a real number in this 8-bit format?
Calculate (4.41762275 *10-3 + 6.34225625 *10-3) * 1.05225 * 102 by hand, assuming each of the values are stored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.
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
A computer has 64 MB (megabytes) of memory. Each word is 4 bytes. How many bits are needed to address each single word in memory? 2. How many bytes of memory are needed to store a full screen of data if the screen is made of 24 lines with 80 characters in each line? The system uses ASCII code, with each ASCII character stored as a byte.
Show Steps Please 18. If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: a) What is the largest positive and the smallest positive number that can be stored on this?system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) b) What bias should be used in the exponent if we prefer all exponents to be non-negative? c) Why would you choose this bias?
Given the following decimal numbers, convert the numbers to a 16-bit memory location in binary using two's complement. (show all details step by step) 165910 - 165910 954610 - 954610 Convert the following decimal numbers to binary using the two’s complement format, using 8 bits: 4810 -3910 -28410 010 Briefly explain why two’s complement is the best format for representing signed integers in a computer. 4. Convert the following decimal numbers to binary floating-point representation, using 4 bits for the fractional part: 68.510 125.4410 99.9910 give the answer of everything otherwise dont give. please
CPU contains a special bit called the overflow bit , denoted by V. When CPU adds two binary integers, if their sum is out of range when interpreted in 2's complement representation, then V is set to _____, otherwise V is set to _______. Question 4 options: A. 0 : 0 B. 1 : 0 C. 0 : 1 D. 1 : 1 2 X = 0 0000 0000 1000 0000 0000 0000 0000 000 is an IEEE 754 single precision floating point number, what is the decimal value of X? Question 5 options: 1.5 × 2–127 0.5 × 2–127 1.5 × 2–126 0.5 × 2–126 None of the above