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Level » Medium
The number of binary digits in the binary representation of 257 are?
To find the number of binary digits in the binary representation of 257, we need to convert 257 to binary and count the number of digits.
Using the division-by-2 method, we can convert 257 to binary as follows:
257 / 2 = 128 remainder 1
128 / 2 = 64 remainder 0
64 / 2 = 32 remainder 0
32 / 2 = 16 remainder 0
16 / 2 = 8 remainder 0
8 / 2 = 4 remainder 0
4 / 2 = 2 remainder 0
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
Reading the remainders from bottom to top, we get the binary representation of 257: 100000001. This has 9 digits in total.
Therefore, the number of binary digits in the binary representation of 257 is 9.
Using the division-by-2 method, we can convert 257 to binary as follows:
257 / 2 = 128 remainder 1
128 / 2 = 64 remainder 0
64 / 2 = 32 remainder 0
32 / 2 = 16 remainder 0
16 / 2 = 8 remainder 0
8 / 2 = 4 remainder 0
4 / 2 = 2 remainder 0
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
Reading the remainders from bottom to top, we get the binary representation of 257: 100000001. This has 9 digits in total.
Therefore, the number of binary digits in the binary representation of 257 is 9.
Central Board of Secondary Education Teacher Exam Mock Test
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