find the complement:
z+z'(v'w+xy)

sum of minterms :

product of maxterm :

simplify the following boolean expression, using four-variable maps :
F = (a'+c'+d')(a'+c')(c'+d')

Counting the number of days in a month in binary requires (how many?) _ bits, whereas
counting the same in BCD requires (how many?) _ bits.

The largest octal number which has 3 integer digits and 2 fraction digits is (in octal) ____,
and it equals (formula is enough, no need for the final number) ____ in decimal.

الحل:

In the equation ∑ (7 ×
5
𝑛=0 8 𝑛 ) = 8 𝑚 − 1, the value of 𝑚 must equal to __.