Respuesta :
Answer:
a)[tex](141)_{10}=(10001101)_2[/tex]
b)[tex](207)_{10}=(11001111)_2[/tex]
c) [tex](144)_{10}=(10010000)_2[/tex]
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.
[tex](141)_{10}=(10001101)_2[/tex]
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.
[tex](207)_{10}=(11001111)_2[/tex]
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.
[tex](144)_{10}=(10010000)_2[/tex]
