Math / Numbers & Operations

Questionb) 24 to base2

Studdy Solution

STEP 1

1. The number $24$ is given in base 10 (decimal).
2. We need to convert the decimal number $24$ to base 2 (binary).

STEP 2

1. Understand the conversion process.
2. Perform the conversion using division by 2.
3. Write the binary number.

STEP 3

Understand that converting from decimal to binary involves dividing the number by 2 and keeping track of the remainders. The binary number is formed by reading the remainders from bottom to top.

STEP 4

Divide $24$ by $2$ and record the quotient and remainder.
$24 \div 2 = 12 \quad \text{remainder: } 0$

STEP 5

Divide the quotient $12$ by $2$ and record the new quotient and remainder.
$12 \div 2 = 6 \quad \text{remainder: } 0$

STEP 6

Divide the quotient $6$ by $2$ and record the new quotient and remainder.
$6 \div 2 = 3 \quad \text{remainder: } 0$

STEP 7

Divide the quotient $3$ by $2$ and record the new quotient and remainder.
$3 \div 2 = 1 \quad \text{remainder: } 1$

STEP 8

Divide the quotient $1$ by $2$ and record the new quotient and remainder.
$1 \div 2 = 0 \quad \text{remainder: } 1$

STEP 9

Write the binary number by reading the remainders from bottom to top.
The binary representation of $24$ is:
$\boxed{11000_2}$

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