a)342(base five) - _____ = 213(base five)
b)1101(base two) - ____ = 1011(base two)
c)E08(base 12) - ______ = 9(base 12)
d)100(base 2) + ______ = 10000(base 2)
also please explain to me where the number comes in during c, what that means
b)1101(base two) - ____ = 1011(base two)
c)E08(base 12) - ______ = 9(base 12)
d)100(base 2) + ______ = 10000(base 2)
also please explain to me where the number comes in during c, what that means
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a)
342₅ − ___ = 213₅
___ = 342₅ − 213₅ = 124₅
3 4 2₅
2 1 3₅
--------
2 is less than 3, so we borrow from next column
3 3 ¹2₅
2 1 3₅ ----> 12₅ − 2₅ = 10₅ = 5 -----> 5 − 2 = 3 -----> 12₅ − 4₅ = 3₅
---------
1 2 4₅
______________________________
b)
1101₂ − ____ = 1011₂
____ = 1101₂ − 1011₂ = 0010₂
c)
Is E in E08 supposed to be digit 11 ???
Usually, in bases > 10, we use the following
10 = A, 11 = B, etc...
Otherwise, in the fairly common base 16, we'd have
10 = T, 12 = T, 14 = F, 15 = F
Also, it's easier to do calculations if consecutive digits
are represented by consecutive letters
E08₁₂ − ___ = 9₁₂
___ = E08₁₂ − 9₁₂ = TEE₁₂
Or more commonly B08₁₂ − 9₁₂ = ABB₁₂
d)
100₂ + ____ = 10000₂
____ = 10000₂ − 100₂ = 1100₂
Mαthmφm
342₅ − ___ = 213₅
___ = 342₅ − 213₅ = 124₅
3 4 2₅
2 1 3₅
--------
2 is less than 3, so we borrow from next column
3 3 ¹2₅
2 1 3₅ ----> 12₅ − 2₅ = 10₅ = 5 -----> 5 − 2 = 3 -----> 12₅ − 4₅ = 3₅
---------
1 2 4₅
______________________________
b)
1101₂ − ____ = 1011₂
____ = 1101₂ − 1011₂ = 0010₂
c)
Is E in E08 supposed to be digit 11 ???
Usually, in bases > 10, we use the following
10 = A, 11 = B, etc...
Otherwise, in the fairly common base 16, we'd have
10 = T, 12 = T, 14 = F, 15 = F
Also, it's easier to do calculations if consecutive digits
are represented by consecutive letters
E08₁₂ − ___ = 9₁₂
___ = E08₁₂ − 9₁₂ = TEE₁₂
Or more commonly B08₁₂ − 9₁₂ = ABB₁₂
d)
100₂ + ____ = 10000₂
____ = 10000₂ − 100₂ = 1100₂
Mαthmφm