Question

convert (64) 10 (?)2

Answer 1

hope it helps u.....

Answer 2

Answer:

The binary equivalent of 64 is $(1000000)_2$.

Explanation:

To find:

The binary value is equal to the decimal number 64. [(64)10 = (?)2]

Step 1 of 2 :

Perform Successive MOD-2 Operation for 64 and mark the initial remainder as I and the final remainder as F as the below :

Successive MOD-2 Operation for 64:

64 MOD-2     $\frac{64 }{ 2} = 32$  Remainder is 0 $\imples$$\implies$ I

32 MOD-2     $\frac{32 }{ 2} = 16$  Remainder is 0

16 MOD-2      $\frac{16 }{ 2} = 8$  Remainder is 0

8 MOD-2       $\frac{8 }{ 2} = 4$  Remainder is 0

4 MOD-2       $\frac{4}{ 2} = 2$         Remainder is 0

2 MOD-2       $\frac{2 }{ 2} = 1$         Remainder is 0

1 MOD-2       $\frac{1 }{ 2} = 0$   Remainder is 1     $\implies$ F

Step 2 of 2 :

Write the remainders of MOD-2 operation for 64 from I to F forms the binary equivalent for 64:

1000000

$64_{10} = (1000000)_2$

Therefore,

the binary equivalent of 64 is $(1000000)_2$.

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