High School

Convert the following decimal numbers into binary:

a. 137
b. 175
c. 213
d. 1992
e. 5220
f. 45
g. 46
h. 47
i. 1234

Answer :

Final answer:

Decimal numbers can be converted to binary by dividing the number by 2 and recording the remainders, which form the binary number when read backward. The binary equivalents for the listed numbers are given, showing how to convert each decimal value to its respective binary representation.

Explanation:

Converting decimal numbers into binary format involves dividing the number by 2 and keeping track of the remainders, which form the binary representation when read in reverse order. Here's the conversion process for each number:

  1. 137 in binary is 10001001.
  2. 175 in binary is 10101111.
  3. 213 in binary is 11010101.
  4. 1992 in binary is 11111000000.
  5. 5220 in binary is 1010001011100.
  6. 45 in binary is 101101.
  7. 46 in binary is 101110.
  8. 47 in binary is 101111.
  9. 1234 in binary is 10011010010.