56 is 0011 1000 To convert between bases divide the number by the new base repeatedly until the whole number quotient is zero, noting the remainders in reverse order: 56 ÷ 2 = 28 r 0 28 ÷ 2 = 14 r 0 14 ÷ 2 = 7 r 0 7 ÷ 2 = 3 r 1 3 ÷ 2 = 1 r 1 1 ÷ 2 = 0 r 1 → 56 decimal in binary is 111000 (or 0011 1000 in 8 bits of a byte).
nCr + nCr-1 = n!/[r!(n-r)!] + n!/[(r-1)!(n-r+1)!] = n!/[(r-1)!(n-r)!]*{1/r + 1/n-r+1} = n!/[(r-1)!(n-r)!]*{[(n-r+1) + r]/[r*(n-r+1)]} = n!/[(r-1)!(n-r)!]*{(n+1)/r*(n-r+1)]} = (n+1)!/[r!(n+1-r)!] = n+1Cr
E7816 = 14 x 256 + 7 x 16 + 8 = 370410 3704 ÷ 7 = 529 r 1 529 ÷ 7 = 75 r 4 75 ÷ 7 = 10 r 5 10 ÷ 7 = 1 r 3 1 ÷ 7 = 0 r 1 ⇒ 370410 = 135417 ⇒ E7816 = 135417 Alternatively, doing the arithmetic in hexadecimal: E7816 ÷ 716 = 21116 r 1 22116 ÷ 716 = 4B16 r 4 4B16 ÷ 716 = A16 r 5 A16 ÷ 716 = 116 r 3 116 ÷ 716 = 016 r 1 ⇒ E7816 = 135417
The answer is 43 r.0
r/2-8
It is 1 - r/7
42
The negative of a negative number is a positive number. The reason for this is that the first negative is a place holder for -1. When you have - - 4, that translates into -1 x -4. When you multiply two negative numbers, you get a positive.For example:- - 7 = -1 x -7 = 7- - r = -1 x -r = r
I think you're wanting a number of two digits, one of which is 3, that when divided by 7 gives a quotient and a remainder of 1 and when that quotient is divided by 2 it gives a remainder of 1: Answer: 36 36 ÷ 7 = 5 r 1 5 ÷ 2 = 2 r 1 If you want the number to be such that if it is divided by 7 the remainder is 1 and if it is divided by 2 the remainder is 1, then: Answer: 43 43 ÷ 7 = 6 r 1 43 ÷ 2 = 21 r 1
That factors to 3(r - 5)(r + 1) r = 5, -1
-5 = 7 + 3r | subtract 7 -12 = 3r | divide by 3 -4 = r
45÷r
To convert from any base to another:Divide the number by the new base to get a quotient and a remainder.Note the remainder.If the quotient is zero stop as the remainder is the number in the new base.Divide the quotient by the new base to get a quotient and a remainder.Write the remainder in front of the previous remainder(s).Repeat from step 3.For example, to convert 8510 to octal (base 8):85 / 8 = 10 r 5 (answer so far: 5)10 / 8 = 1 r 2 (answer so far: 25)1 / 8 = 0 r 1 (answer so far: 125)quotient 0, so 8510 = 1258.To convert 8510 to binary:85 / 2 = 42 r 1 (answer so far: 1)42 / 2 = 21 r 0 (answer so far: 01)21 / 2 = 10 r 1 (answer so far: 101)10 / 2 = 5 r 0 (answer so far: 0101)5 / 2 = 2 r 1 (answer so far: 10101)2 / 2 = 1 r 0 (answer so far: 010101)1 / 2 = 0 r 1 (answer so far: 1010101)quotient 0, so 8510 = 10101012.
45/r
Divide the number by the new base (7 in this case) to give a quotient (result) and remainder.Note the remainderMake the number the quotientIf the quotient is not zero repeat from step 1Write the remainders in reverse order (last found first)That's how I write a decimal number in any other base.This is me doing it for 2365 in to base 7:2365 ÷ 7 = 337 r 6337 ÷ 7 = 48 r 148 ÷ 7 = 6 r 66 ÷ 7 = 0 r 6⇒ 236510 = 66167
56 is 0011 1000 To convert between bases divide the number by the new base repeatedly until the whole number quotient is zero, noting the remainders in reverse order: 56 ÷ 2 = 28 r 0 28 ÷ 2 = 14 r 0 14 ÷ 2 = 7 r 0 7 ÷ 2 = 3 r 1 3 ÷ 2 = 1 r 1 1 ÷ 2 = 0 r 1 → 56 decimal in binary is 111000 (or 0011 1000 in 8 bits of a byte).
7's r 7& 1. 11's factorz r 11 & 1