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255. since number of 1's in "1111 1111" is 8 . we calculate decimal number as 2^8 = 256. starting from 0 to 255 .Hence the last(256th) number is 255.(sheetal)

General Purpose AnswerIn decimal numbers, the digits have values that are powers of ten. Starting at the implied decimal point and working to the left, the number 403 is equal to:3 x 100 + 0 x 101 + 4 x 102 = 3x1 + 0x10 + 4x100 = 3 + 0 + 400

In binary, the digits have values that are powers of two. Working to the left as before, the number 101 is equal to:

1 x 20 + 0 x 21 + 1 x 22 = 1x1 + 0x2+ 1x4 = (in decimal) 1 + 0 + 4 = 5

So, 1111 1111 = 1x1 + 1x2 + 1x4 + 1x8 + 1x16 + 1x32 + 1x64 + 1x128 = 255.

This also works to the right of the decimal point, but the powers of two are negative (i.e., fractions), so 101.011 in binary is:

1x1/8 + 1x1/4 + 0x1/2 + 1x1 + 0x2 + 1x4 = 5.375

Where the first digit to the right of the decimal point is 2-1 (one-half, or 1/2), the next is 2-2 (1/4), then 2-3 (1/8), etc.

Not sure I understand the logic behind the top answer. In this particular case, adding 1 to the original binary you get 1 0000 0000 which is 256, so take away the 1 again to get 255.

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Q: What is the decimal conversion of the binary number 1111 1111?

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4095

The binary number 1111 = 15

15 = 1111

1111 = 15

1111 1111 base 2

It is 1111.

1111 in binary is 15 in decimal.

1111 in binary is 15 in decimal. 1111 in decimal is 10001010111‬ in binary.

1111 1111

All I know is that when a number is negative, you convert the decimal into binary and if it is negative you put 1111 before the binary digits.

111111 in binary is 255 in decimal which is FF in hexadecimal (i.e. 15 units and 15 16s)

111111112 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255 101010102 = 128 + 32 + 8 + 2 = 170

1111 can't be used for Binary Coded Decimal (BCD) because 1111=15 which is made of 2 digits 1 and 5. In BCD a 4-digit binary number is used for every decimal digit. ex. 1111 is incorrect 1 = 0001 5 = 0101 Answer: 0001 0101

1111 or 00001111

In binary: 1111 1111 1111 1111 1111 1111 1111 1111 In octal: 37777777777 In hexadecimal: FFFFFFFF in decimal: 2³² - 1 = 4,294,967,295

The binary number 1111 is 15. The digits in a binary number are exponents of 2 rather than 10, so that for a four digit number in binary, the digit places represent 8, 4, 2, 1 instead of increasing values of 10. 1111 = 8+4+2+1 = 15

1111 1111 1111 1111 = 2^16 = 65536

1111

111110 = 10 001 010 1112

1111

0xc = 1100 Hexadecimal digits use exactly 4 binary digits (bits). The 0x0 to 0xf of hexadecimal map to 0000 to 1111 of binary. Thinking of the hexadecimal digits as decimal numbers, ie 0x0 to 0x9 are 0 to 9 and 0xa to 0xf are 10 to 15, helps with the conversion to binary: 0xc is 12 decimal which is 8 + 4 → 1100 in [4 bit] binary.

9: 1001 10: 1010 11: 1011 12: 1100 13: 1101 14: 1110 15: 1111 16: 10000

The 1's complement is formed by inverting every binary digit (bit) of the number - if it is a 0 it becomes a 1, otherwise it is a 1 and becomes a 0. If 10 is in base 2, then its 1's compliment is 01 or just 1. If 10 is in base 10, then in binary it is 1010 and its 1's complement is 0101 = 5 in decimal. However, if more bits are being used to store it, there would be leading 0s that get inverted to 1s and so the resultant number is different; examples: 8 bits (a byte): decimal 10 = 0000 1010 → 1111 0101 = 245 in decimal 16 bits: decimal 10 = 0000 0000 0000 1010 → 1111 1111 1111 0101 = 65525 Next, if 2s complement is being used to represent negative numbers, the binary 1111 0101 represents decimal -11; similarly 1111 1111 1111 0101 represents decimal -11.

It is 111.

The answer is 1 0101 0111 1110 1011 1011 0011 1111 1010 0001 0111

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