Question

covert decimal number 106to binary number​

Answer 1

Answer:

1101010

Explanation:

Step 1) Divide 106 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 106 as a binary.

Here we will show our work so you can follow along:

106 / 2 = 53 with 0 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 106 converted to binary is therefore:

1101010

Answer 2

Answer:

106 Decimal To Binary Conversion:

step 1 Perform the successive MOD operation by 2 for the given decimal number 106 and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

106 / 2 = 53 : Remainder is 0 → LSB

53 / 2 = 26 : Remainder is 1

26 / 2 = 13 : Remainder is 0

13 / 2 = 6 : Remainder is 1

6 / 2 = 3 : Remainder is 0

3 / 2 = 1 : Remainder is 1

1 / 2 = 0 : Remainder is 1 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent binary number

1101010

10610 = 11010102

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