The binary equivalent of decimal number 17 is
10001
Decimal 17 to Binary Conversion Explained
To find the binary equivalent of a decimal number, we use the method of repeated division by 2. In this process, we repeatedly divide the decimal number by 2 and record the remainder at each step. The process continues until the quotient becomes 0. The binary representation is then obtained by reading the remainders from bottom to top.
Conversion Steps for Decimal Number 17
| Division Operation | Quotient | Remainder |
| 17 ÷ 2 | 8 | 1 |
| 8 ÷ 2 | 4 | 0 |
| 4 ÷ 2 | 2 | 0 |
| 2 ÷ 2 | 1 | 0 |
| 1 ÷ 2 | 0 | 1 |
Determining the Binary Number from Remainders
The remainders obtained from the division steps are 1, 0, 0, 0, and 1.
To get the final binary number, we read these remainders starting from the last one (bottom) up to the first one (top):
10001
Thus, the decimal number 17 is represented as 10001 in binary.
Important Questions from Number System and Binary Codes
The binary equivalent of the decimal number 10 is __________.
The decimal number 76 in hexadecimal and BCD number system is respectively;
The binary equivalent of the decimal number 10 is __________.
The steps for subtracting two positive numbers (M−N) using (r−1)'s complement are:
(A) Add the minuend M to the (r−1)'s complement of the substrahend N.
(B) If an end carry occurs, add 1 to the least significant bit.
(C) If end carry does not occur, take the (r−1)'s complement of the number obtained in step A and place negative sign in front
(D) Take (r−1)'s complement of the number obtained in step B on step C.
Choose the correct answer from the options given below:
A number may be represented in various number systems. Arrange the following number systems in ascending order based on the number of bits needed to represent the same number.
A. Binary
B. Decimal
C. Hexadecimal
D. Octal
Choose the correct answer from the options given below
