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Prove the following Boolean identities using the laws of Boolean algebra
(A + B)(A + C) = A + BC
Ans. (A+B)(A+C)=A+BCLHS AA+AC+AB+BC=A+AC+AB+BC OR
A((C+1)+A(B+1))+BC
OR A+A+BC
OR A+BC
= RHS Thus Proved
The decimal equivalent of Binary number 10101 is ? Ans. 1x2 4 + 0x2 3 +1x2 2 +0x2 1 + 1x2 0 = 16 + 0 + 4 + 0 + 1 = 21.
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Q. Convert the following DECIMAL numbers into OCTAL, double check by converting the result OCTAL to DECIMAL. a) 932 b) 4429.625 c) 19
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