I have tried to get the answers, but I cannot.
G. 11112 + 10102 =
H. 1012 x 100012 =
I. 7516 /2716 =
surely you
a) have a calculator
b) can use a computer. Just type the expressions into google
c) learned arithmetic in the 3rd grade?
If none of these is true, come on back and splain what the problem is.
Hi Steve,
Yes, I have a calculator and of course a computer, 3 of them in fact. These are dealing with hexadecimals, and binary numbers, and I am not familiar with either of them. If it were that simple, believe me I would not ask for help.
Ahh.. I see from your other post that these must be read as base 2 and base 16 values.
1111 - 1010
This is fairly easy, since you don't have to borrow
1111-1010 = 0101 = 101
101 x 10001
= 101
+ 1010000
= 1010101
a handy calculator that works in multiple bases can be found at
http://ostermiller.org/calc/calculator.html
binary values are entered with a leading 0b, as in 0b101
75/27 in base 16 is 3
enter hex values with leading 0x
sorry I subtracted
1111+1010 = 11001
They were separate questions. It appears that you combined two of them.
To find the answers to these math problems, let's break them down step by step.
G. 11112 + 10102:
To add two numbers, you need to add each place value separately - starting from the rightmost digit.
Starting with the ones place: 2 + 2 = 4
Next, moving to the tens place: 1 + 0 (since there is no tens digit in the second number) = 1
Then, moving to the hundreds place: 1 + 0 (since there is no hundreds digit in the second number) = 1
Finally, moving to the thousands place: 1 + 1 = 2
Therefore, the sum of 11112 + 10102 is 21114.
H. 1012 x 100012:
To multiply two numbers, you multiply each digit of the first number by each digit of the second number and then sum up the results.
Starting with the ones place (2 x 2): 4
Then, moving to the tens place (1 x 2): 2 (write this 2 in the tens place as an intermediate result)
Next, moving to the hundreds place (1 x 2): 2 (write this 2 in the hundreds place as an intermediate result)
Then, moving to the thousands place (1 x 2): 2 (write this 2 in the thousands place as an intermediate result)
Finally, moving to the ten thousands place (1 x 1): 1 (write this 1 in the ten thousands place as an intermediate result)
Now, shift one position to the left and multiply the number on top by the next digit on the bottom.
Starting with the ones place (0 x 2): 0
Then, moving to the tens place (0 x 2): 0
Next, moving to the hundreds place (0 x 2): 0
Then, moving to the thousands place (0 x 2): 0
Finally, moving to the ten thousands place (0 x 1): 0
Now, add up all the intermediate results:
0 (ones place) + 0 (tens place) + 0 (hundreds place) + 2 (thousands place) + 1 (ten thousands place) = 3
Therefore, the product of 1012 x 100012 is 300012.
I. 7516 / 2716:
To divide two numbers, you need to perform long division.
Start by dividing the leftmost digit of the dividend (7516) by the leftmost digit of the divisor (2716). Is 7 greater than or equal to 2? Yes. So, the quotient starts with 7.
Next, multiply the divisor (2716) by the current quotient (7). The result is 19012.
Subtract 19012 from the first four digits of the dividend (7516).
7
___________
2716 | 75 16
- 19 01 2
___________
?
Bring down the next digit (1) to the partial dividend (9012).
Now, we need to divide the new partial dividend (19012) by the divisor (2716). Determine the largest digit you can multiply the divisor with to get a number less than or equal to the new partial dividend. In this case, it's 6.
Repeat the process by multiplying the divisor (2716) by 6 and subtracting the result (16296) from the new partial dividend (19012).
76
____________
2716 | 75 16
- 19 01 2
- 16 29 6
____________
?
Bring down the next digit (2) to the partial dividend (6296).
Repeat the process by dividing the new partial dividend (16296) by the divisor (2716). Determine the largest digit you can multiply the divisor with to get a number less than or equal to the new partial dividend. In this case, it's 6 again.
Repeat the steps by multiplying the divisor (2716) by 6 and subtracting the result (16296) from the new partial dividend (16296).
766
______________
2716 | 75 16
- 19 01 2
- 16 29 6
- 16 29 6
______________
?
Finally, bring down the last digit (6) to the partial dividend (296).
Divide the new partial dividend (16296) by the divisor (2716).
Determine the largest digit you can multiply the divisor with to get a number less than or equal to the new partial dividend. In this case, it's 5.
Repeat the steps by multiplying the divisor (2716) by 5 and subtracting the result (13580) from the new partial dividend (16296).
7665
_______________
2716 | 75 16
- 19 01 2
- 16 29 6
- 16 29 6
- 13 58 0
_______________
?
As we have a remainder of 1516, we can stop the division process.
Therefore, the quotient of 7516 / 2716 is 7665 with a remainder of 1516.