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3 years ago

What is the sum of each pair of binary integers?

1 answer:

3 0

Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).

Example: < means carry, decimal equivalent for checking
1011+1111

1 0 1 1 (8+2+1=11)
+ 1 1 1 1 (8+4+2+1=15)
---<---<----<----<----
1 1 0 1 0 (16+8+2=26)

Proceeding similarly,
a. 10101111+11011011 = 110001010 (394)
b. 10010111+11111111 = 110010110 (406)
c. 01110101+10101100 = 10010001 (289)

You might be interested in

What is the sum of the linear expressions?

madam [21]

8n+4 because you have to add it all up

3 0

3 years ago

A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the b

scoundrel [369]

The answer is: Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

8 0

2 years ago

Solve x2 − 7x = −13.

Ket [755]

Answer:

$\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$

Step-by-step explanation:

<u>Step 1: Use the Quadratic formula to solve</u>

<u /> $x^2 - 7x = -13$

$x^2 -7x+13 = -13 +13$

$x^2-7x+13=0\\$

$\frac{-b+\sqrt{b^2-4ac} }{2a} \\\frac{-b-\sqrt{b^2-4ac} }{2a}$

$\frac{-(-7)+\sqrt{(-7)^2-4(1)(13)} }{2(1)} \\\frac{-(-7)-\sqrt{(-7)^2-4(1)(13)} }{2(1)}$

$\frac{7+\sqrt{49-52} }{2} \\\\\frac{7-\sqrt{49-52} }{2}$

Answer: $\frac{7+\sqrt{-3} }{2} \\\\\frac{7-\sqrt{-3} }{2}$

6 0

3 years ago

The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does

Brilliant_brown [7]

Answer:

Let t be the number of toys.

Since, the toy drive already has collected 300 toys

⇒ t+ 300

Also, it is given that the goal of a toy drive is to donate more than 1000 toys.

We get an inequality:

⇒ $t + 300 > 1000$

Solve an inequality:

$t + 300 > 1000$

Subtract 300 from both sides we get

$t + 300 -300 > 1000-300$

Simplify:

t > 700

Therefore, more than 700 toys does the toy drive need to meet its goal.

An inequality is; $t + 300 > 1000$ ; t > 700

7 0

3 years ago

4. A study of 30 fathers was completed in which the fathers were asked the highest level of education they had completed. 10 com

zaharov [31]

Answer:

The cumulative percentage of fathers who completed only elementary school is nearle 33%.

Step-by-step explanation:

Among 30 fathers:

10 completed only elementary school;
10 completed elementary school and high school;
7 completed elementary school, high school and college;
3 completed elementary school, high school, college and graduate school.

You can fill these numbers into the table:

$\begin{array}{cccc}&\text{Frequency}&\text{Cumulative frequency}&\text{Cumulative percentage}\\\text{Elementary school}&10&10&\approx 33\%\\\text{El. and high school}&10&20&\approx 67\%\\\text{El., high schools and college}&7&27&90\%\\\text{El., high, college and grad. sch.}&3&30&100\%\end{array}$

The cumulative percentage of fathers who completed only elementary school is nearle 33%.

7 0

3 years ago