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- SHOW ALL STEPS:Use DeMorgan's Law, to formulate an expression for the complement of the following equations: F(x,y,z) = xy + ~xz + y~z 2. F(x, y) = x'y' + xy' + y(xy')ᴜꜱɪɴɢ ᴍᴀᴛʟᴀʙa.) ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴀᴛᴀ ᴡʜᴇʀᴇ ᴏʙᴛᴀɪɴᴇᴅ ꜰʀᴏᴍ ꜰɪᴠᴇ ꜱᴀᴍᴘʟᴇꜱ ᴏꜰ ᴀɴ ᴜɴᴋɴᴏᴡɴ ꜱᴜʙꜱᴛᴀɴᴄᴇ. ᴛʜᴇ ᴍᴀꜱꜱ ᴀɴᴅ ᴠᴏʟᴜᴍᴇ ᴀʀᴇ ᴍᴇᴀꜱᴜʀᴇᴅ ɪɴ ɢʀᴀᴍꜱ ᴀɴᴅ ᴍɪʟʟɪʟɪᴛᴇʀ, ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ. ᴄʀᴇᴀᴛᴇ ᴀ ᴄꜱᴠ ꜰɪʟᴇ ɪɴ ᴇxᴄᴇʟ ᴜꜱɪɴɢ ᴛʜᴇꜱᴇ ᴅᴀᴛᴀ ᴀɴᴅ ᴜꜱᴇ ꜰɪʟᴇɴᴀᴍᴇ ᴇxᴘᴇʀɪᴍᴇɴᴛ. ɪᴍᴘᴏʀᴛ ᴛʜᴀᴛ ᴅᴀᴛᴀ ᴀꜱ ᴀ ᴛᴀʙʟᴇ ɪɴ ᴍᴀᴛʟᴀʙ. ᴅɪꜱᴘʟᴀʏ ᴛʜᴇ ᴄᴏɴᴛᴇɴᴛꜱ ᴏꜰ ᴛʜᴀᴛ ᴛᴀʙʟᴇ. b.) ᴄᴏɴᴛɪɴᴜɪɴɢ ᴛᴀꜱᴋ ᴀ, ᴀᴘᴘᴇɴᴅ ᴀɴᴏᴛʜᴇʀ ᴄᴏʟᴜᴍɴ ᴛᴏ ᴛʜᴇ ᴇxᴘᴇʀɪᴍᴇɴᴛ ᴛᴀʙʟᴇ ᴄᴏɴᴛᴀɪɴɪɴɢ ᴛʜᴇ ᴅᴇɴꜱɪᴛʏ ꜰᴏʀ ᴇᴀᴄʜ ꜱᴀᴍᴘʟᴇ ɪɴ ɢ/ᴍʟ. ᴜꜱᴇ ᴅᴇɴꜱɪᴛʏ ᴀꜱ ᴛᴀʙʟᴇ ᴠᴀʀɪᴀʙʟᴇ ɴᴀᴍᴇ ꜰᴏʀ ᴛʜᴀᴛ ɴᴇᴡ ᴄᴏʟᴜᴍɴ. ᴄʀᴇᴀᴛᴇ ᴀ ᴠᴀʀɪᴀʙʟᴇ ᴄᴏɴᴛᴀɪɴɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ᴅᴇɴꜱɪᴛʏ; ᴜꜱᴇ ᴀᴠɢᴅᴇɴꜱɪᴛʏ ᴀꜱ ᴠᴀʀɪᴀʙʟᴇ ɴᴀᴍᴇ.Simplify the following Boolean expression. F(X, Y, Z) = !X + !Y + X*Y*!Z =
- Use Boolean Laws and Rules to simplify the following equations: 1. Y= BC + (A + B)B’ + B’ 2. Z = [(A + B’)(B + C)]BSimplify the following formula. 1. F = XY’Z’ + X’Y’Z’ + X’Y’Z + X’YZ 2. F = X’YZ’ + XYZ’ + XYZ + XY’ZApply De Morgan’s theorems to the following expressions: a.(ABC)’ + (D’ + E)’ b.(A+B)’C’ c.(A+B+C)’ + (D’E)’
- 1. Simplify the following Boolean functions, using three-variable Kmaps: (a) F(x, y, z) = Σ(0, 1, 5, 7) (b) F(x, y, z) = Σ(1, 2, 3, 6, 7) (c) F(x, y, z) = Σ(2, 3, 4, 5)simplify the boolean equations: xz + (xy + ~z) ~xyz + yz + x~yShow the DNF equation X'Y'Z' + XY'Z' + X'YZ + XYZ is equal to the reduced expression Y'Z' + YZ. Show all your w
- Simplify the following Boolean expression. F(W, X, Y, Z) = X*Y + W*X*Y*!Z + !X*Y =Write equivalent expressions for each of the following by using De Morgan’s Law. A. !(x < 5) B. !(y > 2 && !found ) C. !(c == ‘r’ || (( y > 2) && !found ))(Practice) State whether the following variable names are valid. If they are invalid, state the reason. prod_a c1234 abcd _c3 12345 newamp watts $total new$al a1b2c3d4 9ab6 sum.of average volts1 finvolt