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What is 56 in binary?
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).
Prove that nCr plus nCr minus 1 equals n plus 1Cr?
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
What does the hexa number E78 in radix 7 with explanation?
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
What is the quotient of 36 and 15480?
The answer is 43 r.0
What is fifty divided by seven remainder?
50 / 7 = 7 r 1 or 7 1/7
