Question

Convert (150)₁₀ into Binary, then convert that Binary number to Octal

Answer 1

150/2=75r0

75/2=37r1

37/2=18r1

18/2=9r0

9/2=4r1

4/2=2r0

2/2=1r0

1/2=0r1

$150_{10}=10010110_2$

Now, divide the binary number into 3-bit groups and convert each group to octal number.

$010|010|110\\\\010_2=2_8\\110_2=6_8$

Therefore

$10010110_2=226_8$

Answer 2

The binary value of $(150)_{10}$ is $(10010110)_{2}$ and the octal value of $(10010110)_{2}$ is $226_{8}$

Explanation:

For Binary conversion:

• The figure attached below holds the processor to convert the decimal to binary in which, column 1 holds the divisor, column 2 holds the quotient and column 3 holds the remainder.
• The divisor will always 2 when the decimal will convert into binary and the process ends when the quotient will 0.
• The remainder traverse from bottom to top is the answer.

For binary to octal conversion:

• Firstly we make the group of three digits of $(10010110)_{2}$ from right to left.
• Then the group will (010),(010),(110). The 0 will be added in the left group because the left group has only 2 digits.
• Then the binary of the group can be calculated then the result is 2,2,6.
• Hence the answer is $226_{8}$.

Learn More:

• Decimal to binary : https://brainly.in/question/3406363
• Binary to octal : https://brainly.in/question/9624618