Page 198 - FUNDAMENTALS OF COMPUTER

198 Fundamentals of Computers NPP

A B Fundamental Sum
0 0 A + B
0 1 A + B

1 0 A + B

1 1 A + B
Problem 3.51 àíZ 3.51
Write all the fundamental sums for the A, B VWm C hoVw gmao \§$S>m_|Q>b `moJ àmßV H$s{OE&
variables A, B and C.
Solution: hc:
Three variables gives 2 = 8 set of values, VrZ am{e`m| Ho$ AmR> g§`moOZ hmoVo h¢ Am¡a CZHo$
3
therefore eight fundamental sums are shown gmnoj AmR> \§$S>m_|Q>b `moJ {ZåZmZwgma h¢…
below in the table:
A B C Fundamental Sum
0
0 NPP 0 A + B + C
0 0 1 A + B + C

0 1 0 A + B + C

0 1 1 A + B + C
1 0 0 A + B + C

1 0 1 A + B + C

1 1 0 A + B + C

1 1 1 A + B + C
3.20 Minterms and Maxterms 3.20 {_ÝQ>_© VWm _oŠgQ>_©
“Minterms are the fundamental products " {_ÝQ>_© do \§$S>m_|Q>b àmoS>ŠQ> hmoVo h¢, Omo AmCQ>nwQ>
corresponding to ‘1’ in the output.” _| 1 Ho$ gmnoj hmoVo h¢Ÿ&"
Consider the following truth table: O¡go {ZåZ Vm{bH$m H$mo XoI|…

A B Y
0 0 0
0 1 1
1 0 0
1 1 1