Question

The decimal number (345)10 is equivalent to
a. (101011001)2
C. (110111001)2
b. (111011101)
d. (111110001)2​

Answer 1

The decimal number (345)base10 is equivalent to (101011001)base2

Explanation:

• To get the binary equivalent, first divide the given decimal by 2 until the quotient is 1 and remainder is 0.
• By dividing it must not have decimal numbers (only integers).
• The decimal given is (345)base10.
• Therefore 345/2=172, Remainder=1, repeat the same process for 172.
• 172/2=86, Remainder=0.
• 86/2=43, Remainder=0.
• 43/2=21, Remainder=1.
• 21/2=10, Remainder=1.
• 10/2=5, Remainder=0.
• 5/2=2, Remainder=1.
• 2/2=1, Remainder=0.
• Now take the numbers in reverse order starting from 1 that is obtained from 2/2.
• Hence it gives (101011001)base2. This is the binary form.

Answer 2

Answer:

a. (101011001)²

Explanation:

345/2=Remainder=1

172/2=Remainder=0

86/2=Remainder=0

43/2=Remainder=1

21/2=Remainder=1

10/2=Remainder=0

5/2=Remainder=1

2/2=Remainder=0

1=Remainder=1