Convert the following decimal values into binary (a) 141 (b) 207 (c) 144
1 answer:
Answer:
a)
b)
c)
Step-by-step explanation:
We need to convert decimal value in binary value
So Follow the below steps
Keep on dividing the decimal values by 2 until the denominator becomes 0 or 1.
a)
Decimal value Quotient Remainder
141 70 1
70 35 0
35 17 1
17 8 1
8 4 0
4 2 0
2 1 0
1 0 1
Now write remainder from bottom to up 10001101.
10 base is called decimal value and base 2 is called binary value.
b)
Decimal value Quotient Remainder
207 103 1
103 51 1
51 25 1
25 12 1
12 6 0
6 3 0
3 1 1
1 0 1
Now write remainder from bottom to up 11001111.
c)
Decimal value Quotient Remainder
144 72 0
72 36 0
36 18 0
18 9 0
9 4 1
4 2 0
2 1 0
1 0 1
Now write remainder from bottom to up 10010000.
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Answer:
Work Shown:
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.