What is the decimal representation of the following signed binary numbers?

Computers and Technology

1 answer:

zheka24 [161]3 years ago

5 0

Answer:

(10000000)₂ = -128 in decimal

(11001100)₂ = -52 in decimal

(10110111)₂ = -73 in decimal

Explanation:

NOTE: If Most Significant Bit is 0, it is positive number and if MSB is 1, it is negative number. If number is positive we can simply convert it to decimal. But if number is negative, follow following formula:

(complement of the number) +1

EXAMPLE 1

(10000000)₂

(01 1 1 1 1 1 1)₂ ↔ complement of the number

+ 1

(10000000)₂ = 1 × $2^{7}$ = 128 (magnitude in decimal)

But we remember MSB was 1 so answer is -128.

EXAMPLE 2

(1 1 0 0 1 1 00)₂

(0 0 1 1 0 0 1 1)₂

+ 1

(0 0 1 1 0 1 0 0)₂ = 52 (magnitude in decimal)

But we remember MSB was 1 so answer is -52.

EXAMPLE 3

(1 0 1 1 0 1 1 1)₂

(0 1 00 1 000)₂

+ 1

(01 00 1 00 1‬)₂ = 73 (magnitude in decimal)

But we remember MSB was 1 so answer is -73.

You might be interested in

you just finished creating an expense report table, but your boss tells you to create an extra column representing non-productio

Margaret [11]

If you are using Microsoft Excel, then that would be easy.
In a spreadsheet, there are rows and columns. Click the row or cell adjacent to the new column that you will be adding. In versions of MS Excel 2007 and up, here's what you are going to do. In Home Tab, you can find "Insert" button. Click "Insert", then select "Insert Sheet Columns."

5 0

4 years ago

Write a program that prompts the user to enter their name store this value in a variable called name Prompt the user for their c

Anarel [89]

Answer:

Explanation:

The following code is written in Python. It prompts the user for the name and age, saves them to their own variables. Then it creates and calculates the dogAge variable. Finally, it combines all of this information and prints out the statement.

name = input("Enter your name: ")

age = input("Enter your age: ")

dogAge = int(age) * 7

print("Your name is", name, "and in dog years you are", dogAge, "years old.")