Write the decimal number in binary form. 127
A) 1110101
B) 1111000
C) 1111011
D) 1111111
E) 1110011

Question

Quizplus · Accepted Answer

To convert decimal numbers into binary form, we need to repeatedly divide the decimal number by 2 and take the remainders until the quotient becomes 0. The remainders, from bottom to top, will give us the binary form of the decimal number. 
For 127, the binary form will be:
127/2 = 63 remainder 1
63/2 = 31 remainder 1
31/2 = 15 remainder 1
15/2 = 7 remainder 1
7/2 = 3 remainder 1
3/2 = 1 remainder 1
1/2 = 0 remainder 1

Therefore, the binary form of 127 is 1111111, which is option D.

Write the Decimal Number in Binary Form. 127